from __future__ import division from scitbx import matrix from mmtbx.tls import tls_as_xyz from libtbx import group_args from libtbx.test_utils import approx_equal import mmtbx.tls.tools import iotbx.pdb from scitbx.array_family import flex import sys def print_step(m, log): print >> log, "-"*80 tls_as_xyz.print_step(m, log) def extract(s): def fetch_matrix_1_sym(x,y,z): return matrix.sym(sym_mat3=[x[0], y[1], z[2], x[1], x[2], y[2]]) def fetch_matrix_2_sym(x,y,z): return matrix.sym(sym_mat3=[x[3], y[4], z[5], x[4], x[5], y[5]]) def fetch_matrix_3_sym(x,y,z): return matrix.sym(sym_mat3=[x[6], y[7], z[8], x[7], x[8], y[8]]) def fetch_matrix_3_sqr(x,y,z): return matrix.sqr([x[6], x[7], x[8], y[6], y[7], y[8], z[6], z[7], z[8]]) def get_next_3_lines(i, lines): x = lines[i+1].split() y = lines[i+2].split() z = lines[i+3].split() return x,y,z def get_next_3_lines_all_float(i, lines): x = [float(j) for j in lines[i+1].split()] y = [float(j) for j in lines[i+2].split()] z = [float(j) for j in lines[i+3].split()] return x,y,z read = False read_T_L_S = False read_lx_ly_lz = False read_TL_LL_SL = False read_wL = False read_CLW_CLS_CL = False read_VL = False read_VM = False read_vx_vy_vz = False read_VV = False lines = s.splitlines() for i, l in enumerate(lines): if(l.count("************* INFORMATION FOR COMPARISON **********")): read=True if(read): ### set conditions # if(l.startswith("*** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) ***")): read_T_L_S = True # if(l.startswith("*** Lx Ly Lz *** principal Libration axes (orthonormal L base)")): read_lx_ly_lz = True # if(l.startswith("*** T[L] L[L] S[L] *** total TLS matrices in the L base ***")): read_TL_LL_SL = True # if(l.startswith("*** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base")): read_wL = True # if(l.startswith("*** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base ***")): read_CLW_CLS_CL = True # if(l.startswith("*** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base")): read_VL = True # if(l.startswith("*** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base")): read_VM = True # if(l.startswith("*** Vx Vy Vz *** principal Vibration axes (orthonormal V base)")): read_vx_vy_vz = True # if(l.startswith("*** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base")): read_VV = True # ### extract # if(read_T_L_S): read_T_L_S = False x,y,z = get_next_3_lines_all_float(i, lines) T_M = fetch_matrix_1_sym(x,y,z) L_M = fetch_matrix_2_sym(x,y,z) S_M = fetch_matrix_3_sqr(x,y,z) # if(read_lx_ly_lz): read_lx_ly_lz = False x,y,z = get_next_3_lines(i, lines) l_x = matrix.col((float(x[1]), float(x[2]), float(x[3]))) l_y = matrix.col((float(y[1]), float(y[2]), float(y[3]))) l_z = matrix.col((float(z[1]), float(z[2]), float(z[3]))) # if(read_TL_LL_SL): read_TL_LL_SL = False x,y,z = get_next_3_lines_all_float(i, lines) T_L = fetch_matrix_1_sym(x,y,z) L_L = fetch_matrix_2_sym(x,y,z) S_L = fetch_matrix_3_sqr(x,y,z) # if(read_wL): read_wL = False x,y,z = get_next_3_lines(i, lines) w_lx = matrix.col((float(x[7]), float(x[8]), float(x[9]))) w_ly = matrix.col((float(y[7]), float(y[8]), float(y[9]))) w_lz = matrix.col((float(z[7]), float(z[8]), float(z[9]))) # if(read_CLW_CLS_CL): read_CLW_CLS_CL = False x,y,z = get_next_3_lines_all_float(i, lines) C_LW = fetch_matrix_1_sym(x,y,z) C_LS = fetch_matrix_2_sym(x,y,z) C_L = fetch_matrix_3_sym(x,y,z) # if(read_VL): read_VL = False x,y,z = get_next_3_lines_all_float(i, lines) V_L = fetch_matrix_1_sym(x,y,z) # if(read_VM): read_VM = False x,y,z = get_next_3_lines_all_float(i, lines) V_M = fetch_matrix_1_sym(x,y,z) # if(read_vx_vy_vz): read_vx_vy_vz = False x,y,z = get_next_3_lines(i, lines) v_x = matrix.col((float(x[1]), float(x[2]), float(x[3]))) v_y = matrix.col((float(y[1]), float(y[2]), float(y[3]))) v_z = matrix.col((float(z[1]), float(z[2]), float(z[3]))) # if(read_VV): read_VV = False x,y,z = get_next_3_lines_all_float(i, lines) V_V = fetch_matrix_1_sym(x,y,z) # return group_args( T_M=T_M, L_M=L_M, S_M=S_M, l_x=l_x, l_y=l_y, l_z=l_z, T_L=T_L, L_L=L_L, S_L=S_L, w_lx=w_lx, w_ly=w_ly, w_lz=w_lz, C_LW=C_LW, C_LS=C_LS, C_L =C_L , V_L=V_L, V_M=V_M, v_x=v_x, v_y=v_y, v_z=v_z, V_V=V_V) def compare(e, r, eps = 1.e-5): # e - extract object, r - result object assert approx_equal(e.T_M , r.T , eps) assert approx_equal(e.L_M , r.L , eps) assert approx_equal(e.S_M , r.S , eps) assert approx_equal(e.l_x , r.b_o.l_x , eps) assert approx_equal(e.l_y , r.b_o.l_y , eps) assert approx_equal(e.l_z , r.b_o.l_z , eps) assert approx_equal(e.T_L , r.b_o.T_L , eps) assert approx_equal(e.L_L , r.b_o.L_L , eps) assert approx_equal(e.S_L , r.b_o.S_L , eps) assert approx_equal([e.w_lx[1],e.w_lx[2]], [r.c_o.w_lx[1],r.c_o.w_lx[2]], eps) assert approx_equal([e.w_ly[0],e.w_ly[2]], [r.c_o.w_ly[0],r.c_o.w_ly[2]], eps) assert approx_equal([e.w_lz[0],e.w_lz[1]], [r.c_o.w_lz[0],r.c_o.w_lz[1]], eps) assert approx_equal(e.C_LW, r.C_LW , eps) assert approx_equal(e.C_LS, r.g_o.C_LS, eps) assert approx_equal(e.C_L , r.g_o.C_L , eps) assert approx_equal(e.V_L , r.g_o.V_L , eps) assert approx_equal(e.V_M , r.h_o.V_M , eps) assert approx_equal(e.v_x , r.h_o.v_x , eps) assert approx_equal(e.v_y , r.h_o.v_y , eps) assert approx_equal(e.v_z , r.h_o.v_z , eps) assert approx_equal(e.V_V , r.h_o.V_V , eps) getTLS3_test001 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.01000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.01000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** dx2 dy2 dz2 *** rms2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.01000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.64000005 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.01000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.64000005 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.64000005 """ getTLS3_test004 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 2.00000 3.00000 3.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 0.26726 0.53452 0.80178 V2= 0.92212 0.09969 -0.37383 V3= -0.27975 0.83925 -0.46625 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.18685097 -0.13412423 0.03046584 -0.13412423 0.45522982 -0.25211182 0.03046584 -0.25211182 0.16791928 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.18685097 -0.13412423 0.03046584 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.13412423 0.45522982 -0.25211182 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.03046584 -0.25211182 0.16791928 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.18685097 -0.13412423 0.03046584 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.13412423 0.45522982 -0.25211182 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.03046584 -0.25211182 0.16791928 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.18685097 -0.13412423 0.03046584 0.18685097 -0.13412423 0.03046584 -0.13412423 0.45522982 -0.25211182 -0.13412423 0.45522982 -0.25211182 0.03046584 -0.25211182 0.16791928 0.03046584 -0.25211182 0.16791928 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.18685097 -0.13412423 0.03046584 0.18685097 -0.13412423 0.03046584 -0.13412423 0.45522982 -0.25211182 -0.13412423 0.45522982 -0.25211182 0.03046584 -0.25211182 0.16791928 0.03046584 -0.25211182 0.16791928 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.26726 0.53452 0.80178 Vy= 0.92212 0.09969 -0.37383 Vz= -0.27975 0.83925 -0.46625 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.00999999 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000004 -0.00000001 0.00000000 0.00000000 0.64000005 -0.00000001 0.00000000 0.64000005 """ getTLS3_test011 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 1.00000 0.00000 0.00000 0.00000 1.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 1.00000 0.00000 0.00000 0.00000 1.00000 principal Libration axes (orthonormal L base) L1= 0.70711 0.70711 0.00000 L2= 0.00000 0.00000 1.00000 L3= 0.70711 -0.70711 0.00000 principal Vibration axes (orthonormal V base) V1= 0.70711 0.70711 0.00000 V2= 0.00000 0.00000 1.00000 V3= 0.70711 -0.70711 0.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.05000000 -0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.04000000 0.05000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.32500002 -0.31500000 0.00000000 -0.31500000 0.32500002 0.00000000 0.00000000 0.00000000 0.16000001 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.32500002 -0.31500000 0.00000000 0.05000000 -0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.31500000 0.32500002 0.00000000 -0.04000000 0.05000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.70711 0.70711 0.00000 Ly= 0.00000 0.00000 1.00000 Lz= 0.70711 -0.70711 0.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.01000003 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 0.63999999 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.01000003 0.00000000 0.00000000 0.01000003 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000001 0.00000000 0.63999999 0.00000001 0.00000000 0.63999999 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.32500002 -0.31500000 0.00000000 0.32499999 -0.31499997 0.00000000 -0.31500000 0.32500002 0.00000000 -0.31499997 0.32499999 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.70711 0.70711 0.00000 Vy= 0.00000 0.00000 1.00000 Vz= 0.70711 -0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.01000002 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.63999993 """ getTLS3_test014 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 2.00000 3.00000 3.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 1.00000 1.00000 1.00000 0.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.26726 0.53452 0.80178 L2= 0.92212 0.09969 -0.37383 L3= -0.27975 0.83925 -0.46625 principal Vibration axes (orthonormal V base) V1= 0.57735 0.57735 0.57735 V2= 0.81650 -0.40825 -0.40825 V3= 0.00000 0.70711 -0.70711 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.04177019 -0.01602484 0.00009317 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.01602484 0.06664596 -0.03242236 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00009317 -0.03242236 0.03158385 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.11000001 -0.05000000 -0.05000000 -0.05000000 0.34999996 -0.28999996 -0.05000000 -0.28999996 0.34999996 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.11000001 -0.05000000 -0.05000000 0.04177019 -0.01602484 0.00009317 0.00000000 0.00000000 0.00000000 -0.05000000 0.34999996 -0.28999996 -0.01602484 0.06664596 -0.03242236 0.00000000 0.00000000 0.00000000 -0.05000000 -0.28999996 0.34999996 0.00009317 -0.03242236 0.03158385 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.26726 0.53452 0.80178 Ly= 0.92212 0.09969 -0.37383 Lz= -0.27975 0.83925 -0.46625 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.04857142 -0.08232684 -0.09121538 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.08232684 0.19281989 0.14534362 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.09121536 0.14534362 0.56860864 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.04857142 -0.08232684 -0.09121538 0.04857142 -0.08232684 -0.09121538 -0.08232684 0.19281989 0.14534362 -0.08232684 0.19281989 0.14534362 -0.09121536 0.14534362 0.56860864 -0.09121536 0.14534362 0.56860864 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.11000001 -0.05000000 -0.05000000 0.11000003 -0.04999999 -0.05000001 -0.05000000 0.34999996 -0.28999996 -0.04999999 0.34999999 -0.28999996 -0.05000000 -0.28999996 0.34999996 -0.05000002 -0.28999996 0.34999996 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.57735 0.57735 0.57735 Vy= 0.81650 -0.40825 -0.40825 Vz= 0.00000 0.70711 -0.70711 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.01000001 0.00000001 0.00000002 0.00000000 0.16000001 0.00000000 0.00000001 0.16000003 0.00000000 0.00000000 0.00000000 0.64000005 0.00000003 0.00000001 0.63999981 """ getTLS3_test021 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 1.00000 0.00000 0.00000 0.00000 1.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 2.00000 3.00000 parallel to j : (wjx,wjy,wjz)= -1.00000 0.00000 2.00000 parallel to k : (wkx,wky,wkz)= 4.00000 1.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 1.00000 0.00000 0.00000 0.00000 1.00000 principal Libration axes (orthonormal L base) L1= 0.70711 0.70711 0.00000 L2= 0.00000 0.00000 1.00000 L3= 0.70711 -0.70711 0.00000 principal Vibration axes (orthonormal V base) V1= 0.70711 0.70711 0.00000 V2= 0.00000 0.00000 1.00000 V3= 0.70711 -0.70711 0.00000 TLS matrices from Libration in the L-base 0.25000000 -0.36000001 0.08000001 0.01000000 0.00000000 0.00000000 0.00000000 0.03000000 -0.02000000 -0.36000001 1.53000009 -0.06000000 0.00000000 0.04000000 0.00000000 -0.08000001 0.00000000 -0.04000000 0.08000001 -0.06000000 0.08000001 0.00000000 0.00000000 0.09000000 0.09000000 -0.36000001 0.00000000 TLS matrices from Libration in the M-base 0.24499999 0.08499999 -0.29698485 0.05000000 -0.04000000 0.00000000 0.03500000 0.05500000 -0.23334524 0.08499999 0.08499999 -0.21213204 -0.04000000 0.05000000 0.00000000 -0.05500000 -0.03500000 0.27577165 -0.29698485 -0.21213204 1.53000009 0.00000000 0.00000000 0.04000000 -0.08485281 -0.02828427 0.00000000 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.32500002 -0.31500000 0.00000000 -0.31500000 0.32500002 0.00000000 0.00000000 0.00000000 0.16000001 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.56999999 -0.23000000 -0.29698485 0.05000000 -0.04000000 0.00000000 0.03500000 0.05500000 -0.23334524 -0.23000000 0.41000003 -0.21213204 -0.04000000 0.05000000 0.00000000 -0.05500000 -0.03500000 0.27577165 -0.29698485 -0.21213204 1.69000006 0.00000000 0.00000000 0.04000000 -0.08485281 -0.02828427 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.70711 0.70711 0.00000 Ly= 0.00000 0.00000 1.00000 Lz= 0.70711 -0.70711 0.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.25999996 -0.35999998 0.07999998 0.01000000 0.00000000 0.00000000 0.00000000 0.03000000 -0.02000000 -0.35999998 1.69000006 -0.05999999 0.00000000 0.04000000 0.00000000 -0.08000001 0.00000000 -0.04000000 0.07999997 -0.05999999 0.71999997 0.00000000 0.00000000 0.09000000 0.09000000 -0.36000001 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 2.00000 3.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= -1.00000 0.00000 2.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 4.00000 1.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 2.12132 -2.12132 2.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.70711 -2.12132 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 2.82843 2.82843 1.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.25000000 -0.36000001 0.08000001 0.00000000 0.00000000 0.00000000 0.25000000 -0.36000001 0.08000001 -0.36000001 1.53000009 -0.06000000 0.00000000 0.00000000 0.00000000 -0.36000001 1.53000009 -0.06000000 0.08000001 -0.06000000 0.08000001 0.00000000 0.00000000 0.00000000 0.08000001 -0.06000000 0.08000001 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.01000003 0.00000000 0.00000000 0.00999996 0.00000003 -0.00000003 0.00000000 0.16000001 0.00000000 0.00000003 0.15999997 0.00000001 0.00000001 0.00000000 0.63999999 -0.00000004 0.00000001 0.63999999 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.32500002 -0.31500000 0.00000000 0.32499993 -0.31500000 0.00000003 -0.31500000 0.32500002 0.00000000 -0.31500000 0.32500002 0.00000002 0.00000000 0.00000000 0.16000001 0.00000003 0.00000002 0.15999997 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.70711 0.70711 0.00000 Vy= 0.00000 0.00000 1.00000 Vz= 0.70711 -0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.00999999 0.00000003 -0.00000004 0.00000000 0.16000001 0.00000000 0.00000003 0.15999997 0.00000001 0.00000000 0.00000000 0.64000005 -0.00000002 0.00000001 0.63999993 """ getTLS3_test024 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 2.00000 3.00000 3.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 2.00000 3.00000 parallel to j : (wjx,wjy,wjz)= -1.00000 0.00000 2.00000 parallel to k : (wkx,wky,wkz)= 4.00000 1.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 1.00000 1.00000 1.00000 0.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.26726 0.53452 0.80178 L2= 0.92212 0.09969 -0.37383 L3= -0.27975 0.83925 -0.46625 principal Vibration axes (orthonormal V base) V1= 0.57735 0.57735 0.57735 V2= 0.81650 -0.40825 -0.40825 V3= 0.00000 0.70711 -0.70711 TLS matrices from Libration in the L-base 0.25000000 -0.36000001 0.08000001 0.01000000 0.00000000 0.00000000 0.00000000 0.03000000 -0.02000000 -0.36000001 1.53000009 -0.06000000 0.00000000 0.04000000 0.00000000 -0.08000001 0.00000000 -0.04000000 0.08000001 -0.06000000 0.08000001 0.00000000 0.00000000 0.09000000 0.09000000 -0.36000001 0.00000000 TLS matrices from Libration in the M-base 1.16664422 -0.06823526 -0.70200294 0.04177019 -0.01602484 0.00009317 0.08563004 -0.07749246 -0.10029086 -0.06823528 0.16635178 0.11748905 -0.01602484 0.06664596 -0.03242236 -0.24165380 -0.00472804 0.16796263 -0.70200288 0.11748905 0.52700424 0.00009317 -0.03242236 0.03158385 0.17404011 0.01177818 -0.08090200 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.11000001 -0.05000000 -0.05000000 -0.05000000 0.34999996 -0.28999996 -0.05000000 -0.28999996 0.34999996 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 1.27664423 -0.11823526 -0.75200295 0.04177019 -0.01602484 0.00009317 0.08563004 -0.07749246 -0.10029086 -0.11823528 0.51635176 -0.17251091 -0.01602484 0.06664596 -0.03242236 -0.24165380 -0.00472804 0.16796263 -0.75200289 -0.17251092 0.87700421 0.00009317 -0.03242236 0.03158385 0.17404011 0.01177818 -0.08090200 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.26726 0.53452 0.80178 Ly= 0.92212 0.09969 -0.37383 Lz= -0.27975 0.83925 -0.46625 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.29857135 -0.44232675 -0.01121536 0.01000000 0.00000000 0.00000000 0.00000000 0.03000000 -0.02000000 -0.44232675 1.72282040 0.08534358 0.00000000 0.04000000 0.00000000 -0.08000001 0.00000000 -0.04000000 -0.01121536 0.08534360 0.64860868 0.00000000 0.00000000 0.09000000 0.09000000 -0.36000001 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 2.00000 3.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= -1.00000 0.00000 2.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 4.00000 1.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 1.00499 2.71714 -2.14642 Wly, axis parallel to ly : (wjx,wjy,wjz)= -0.82676 1.14399 -1.73429 Wlz, axis parallel to lz : (wkx,wky,wkz)= 1.99117 2.23778 2.83330 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.25000000 -0.36000001 0.08000001 0.00000000 0.00000000 0.00000000 0.25000000 -0.36000001 0.08000001 -0.36000001 1.53000009 -0.06000000 0.00000000 0.00000000 0.00000000 -0.36000001 1.53000009 -0.06000000 0.08000001 -0.06000000 0.08000001 0.00000000 0.00000000 0.00000000 0.08000001 -0.06000000 0.08000001 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.04857142 -0.08232684 -0.09121538 0.04857135 -0.08232674 -0.09121536 -0.08232684 0.19281989 0.14534362 -0.08232674 0.19282031 0.14534359 -0.09121536 0.14534362 0.56860864 -0.09121536 0.14534360 0.56860870 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.11000001 -0.05000000 -0.05000000 0.11000045 -0.04999994 -0.05000009 -0.05000000 0.34999996 -0.28999996 -0.04999993 0.34999999 -0.29000005 -0.05000000 -0.28999996 0.34999996 -0.05000011 -0.29000002 0.34999990 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.57735 0.57735 0.57735 Vy= 0.81650 -0.40825 -0.40825 Vz= 0.00000 0.70711 -0.70711 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.01000007 0.00000024 0.00000011 0.00000000 0.16000001 0.00000000 0.00000024 0.16000026 0.00000005 0.00000000 0.00000000 0.64000005 0.00000010 0.00000008 0.63999987 """ getTLS3_test031 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 1.00000 0.00000 0.00000 0.00000 1.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.500000 -0.300000 0.700000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 1.00000 0.00000 0.00000 0.00000 1.00000 modified shifts sx,sy,sz for the libration axes and the trace -1.366667 -0.766667 0.492593 0.056000 0.000000 principal Libration axes (orthonormal L base) L1= 0.70711 0.70711 0.00000 L2= 0.00000 0.00000 1.00000 L3= 0.70711 -0.70711 0.00000 principal Vibration axes (orthonormal V base) V1= 0.70711 0.70711 0.00000 V2= 0.00000 0.00000 1.00000 V3= 0.70711 -0.70711 0.00000 TLS matrices from Libration in the L-base 0.01867778 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 -0.01366667 0.00000000 0.00000000 0.00000000 0.02351111 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 -0.03066667 0.00000000 0.00000000 0.00000000 0.02183827 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.04433334 TLS matrices from Libration in the M-base 0.02025802 -0.00158024 0.00000000 0.05000000 -0.04000000 0.00000000 0.01533333 -0.02900000 0.00000000 -0.00158024 0.02025802 0.00000000 -0.04000000 0.05000000 0.00000000 -0.02900000 0.01533333 0.00000000 0.00000000 0.00000000 0.02351111 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 -0.03066667 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.32500002 -0.31500000 0.00000000 -0.31500000 0.32500002 0.00000000 0.00000000 0.00000000 0.16000001 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.34525806 -0.31658024 0.00000000 0.05000000 -0.04000000 0.00000000 0.01533333 -0.02900000 0.00000000 -0.31658024 0.34525806 0.00000000 -0.04000000 0.05000000 0.00000000 -0.02900000 0.01533333 0.00000000 0.00000000 0.00000000 0.18351112 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 -0.03066667 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.70711 0.70711 0.00000 Ly= 0.00000 0.00000 1.00000 Lz= 0.70711 -0.70711 0.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.02867781 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 -0.01366667 0.00000000 0.00000000 0.00000000 0.18351112 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 -0.03066667 0.00000000 0.00000001 0.00000000 0.66183829 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.04433334 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes -1.366667 -0.766667 0.492593 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.01867778 0.00000000 0.00000000 0.01867778 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.02351111 0.00000000 0.00000000 0.02351111 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.02183827 0.00000000 0.00000000 0.02183827 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.01000003 0.00000000 0.00000000 0.01000003 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000001 0.00000000 0.63999999 0.00000001 0.00000000 0.64000005 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.32500002 -0.31500000 0.00000000 0.32500002 -0.31500000 0.00000000 -0.31500000 0.32500002 0.00000000 -0.31500000 0.32500002 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.70711 0.70711 0.00000 Vy= 0.00000 0.00000 1.00000 Vz= 0.70711 -0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.01000003 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 0.00000001 0.00000000 0.63999999 """ getTLS3_test034 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 2.00000 3.00000 3.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.500000 -0.300000 0.700000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 1.00000 1.00000 1.00000 0.00000 0.00000 modified shifts sx,sy,sz for the libration axes and the trace -1.366667 -0.766667 0.492593 0.056000 0.000000 principal Libration axes (orthonormal L base) L1= 0.26726 0.53452 0.80178 L2= 0.92212 0.09969 -0.37383 L3= -0.27975 0.83925 -0.46625 principal Vibration axes (orthonormal V base) V1= 0.57735 0.57735 0.57735 V2= 0.81650 -0.40825 -0.40825 V3= 0.00000 0.70711 -0.70711 TLS matrices from Libration in the L-base 0.01867778 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 -0.01366667 0.00000000 0.00000000 0.00000000 0.02351111 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 -0.03066667 0.00000000 0.00000000 0.00000000 0.02183827 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.04433334 TLS matrices from Libration in the M-base 0.02303496 -0.00029772 -0.00125391 0.04177019 -0.01602484 0.00009317 -0.02358282 -0.01518012 0.01342547 -0.00029772 0.02095190 -0.00141684 -0.01602484 0.06664596 -0.03242236 -0.01518013 0.02701657 -0.02206211 -0.00125391 -0.00141684 0.02004031 0.00009317 -0.03242236 0.03158385 0.01342547 -0.02206211 -0.00343375 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.11000001 -0.05000000 -0.05000000 -0.05000000 0.34999996 -0.28999996 -0.05000000 -0.28999996 0.34999996 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.13303497 -0.05029772 -0.05125391 0.04177019 -0.01602484 0.00009317 -0.02358282 -0.01518012 0.01342547 -0.05029772 0.37095186 -0.29141679 -0.01602484 0.06664596 -0.03242236 -0.01518013 0.02701657 -0.02206211 -0.05125391 -0.29141679 0.37004027 0.00009317 -0.03242236 0.03158385 0.01342547 -0.02206211 -0.00343375 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.26726 0.53452 0.80178 Ly= 0.92212 0.09969 -0.37383 Lz= -0.27975 0.83925 -0.46625 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.06724921 -0.08232684 -0.09121537 0.01000000 0.00000000 0.00000000 -0.01366667 0.00000000 0.00000000 -0.08232683 0.21633101 0.14534362 0.00000000 0.04000000 0.00000000 0.00000000 -0.03066667 0.00000000 -0.09121535 0.14534362 0.59044695 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.04433334 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes -1.366667 -0.766667 0.492593 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.01867778 0.00000000 0.00000000 0.01867778 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.02351111 0.00000000 0.00000000 0.02351111 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.02183827 0.00000000 0.00000000 0.02183827 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.04857142 -0.08232684 -0.09121538 0.04857143 -0.08232684 -0.09121537 -0.08232684 0.19281989 0.14534362 -0.08232683 0.19281989 0.14534362 -0.09121536 0.14534362 0.56860864 -0.09121535 0.14534362 0.56860870 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.11000001 -0.05000000 -0.05000000 0.11000003 -0.05000000 -0.05000000 -0.05000000 0.34999996 -0.28999996 -0.05000000 0.35000002 -0.28999996 -0.05000000 -0.28999996 0.34999996 -0.05000002 -0.28999999 0.34999996 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.57735 0.57735 0.57735 Vy= 0.81650 -0.40825 -0.40825 Vz= 0.00000 0.70711 -0.70711 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.01000002 0.00000000 0.00000001 0.00000000 0.16000001 0.00000000 0.00000001 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 0.00000006 -0.00000001 0.63999981 """ getTLS3_test041 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 1.00000 0.00000 0.00000 0.00000 1.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 2.00000 3.00000 parallel to j : (wjx,wjy,wjz)= -1.00000 0.00000 2.00000 parallel to k : (wkx,wky,wkz)= 4.00000 1.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.500000 -0.300000 0.700000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 1.00000 0.00000 0.00000 0.00000 1.00000 modified shifts sx,sy,sz for the libration axes and the trace -1.366667 -0.766667 0.492593 0.056000 0.000000 principal Libration axes (orthonormal L base) L1= 0.70711 0.70711 0.00000 L2= 0.00000 0.00000 1.00000 L3= 0.70711 -0.70711 0.00000 principal Vibration axes (orthonormal V base) V1= 0.70711 0.70711 0.00000 V2= 0.00000 0.00000 1.00000 V3= 0.70711 -0.70711 0.00000 TLS matrices from Libration in the L-base 0.26867777 -0.36000001 0.08000001 0.01000000 0.00000000 0.00000000 -0.01366667 0.03000000 -0.02000000 -0.36000001 1.55351114 -0.06000000 0.00000000 0.04000000 0.00000000 -0.08000001 -0.03066667 -0.04000000 0.08000001 -0.06000000 0.10183828 0.00000000 0.00000000 0.09000000 0.09000000 -0.36000001 0.04433334 TLS matrices from Libration in the M-base 0.26525804 0.08341976 -0.29698485 0.05000000 -0.04000000 0.00000000 0.05033333 0.02600000 -0.23334524 0.08341974 0.10525802 -0.21213204 -0.04000000 0.05000000 0.00000000 -0.08400000 -0.01966666 0.27577165 -0.29698485 -0.21213204 1.55351114 0.00000000 0.00000000 0.04000000 -0.08485281 -0.02828427 -0.03066667 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.32500002 -0.31500000 0.00000000 -0.31500000 0.32500002 0.00000000 0.00000000 0.00000000 0.16000001 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.59025806 -0.23158024 -0.29698485 0.05000000 -0.04000000 0.00000000 0.05033333 0.02600000 -0.23334524 -0.23158026 0.43025804 -0.21213204 -0.04000000 0.05000000 0.00000000 -0.08400000 -0.01966666 0.27577165 -0.29698485 -0.21213204 1.71351111 0.00000000 0.00000000 0.04000000 -0.08485281 -0.02828427 -0.03066667 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.70711 0.70711 0.00000 Ly= 0.00000 0.00000 1.00000 Lz= 0.70711 -0.70711 0.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.27867779 -0.35999998 0.08000001 0.01000000 0.00000000 0.00000000 -0.01366667 0.03000000 -0.02000000 -0.35999998 1.71351111 -0.05999999 0.00000000 0.04000000 0.00000000 -0.08000001 -0.03066667 -0.04000000 0.08000002 -0.05999999 0.74183828 0.00000000 0.00000000 0.09000000 0.09000000 -0.36000001 0.04433334 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 2.00000 3.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= -1.00000 0.00000 2.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 4.00000 1.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 2.12132 -2.12132 2.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.70711 -2.12132 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 2.82843 2.82843 1.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes -1.366667 -0.766667 0.492593 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.25000000 -0.36000001 0.08000001 0.01867778 0.00000000 0.00000000 0.26867777 -0.36000001 0.08000001 -0.36000001 1.53000009 -0.06000000 0.00000000 0.02351111 0.00000000 -0.36000001 1.55351114 -0.06000000 0.08000001 -0.06000000 0.08000001 0.00000000 0.00000000 0.02183827 0.08000001 -0.06000000 0.10183828 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.01000003 0.00000000 0.00000000 0.01000002 0.00000003 0.00000001 0.00000000 0.16000001 0.00000000 0.00000003 0.15999997 0.00000001 0.00000001 0.00000000 0.63999999 0.00000001 0.00000001 0.63999999 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.32500002 -0.31500000 0.00000000 0.32499999 -0.31499997 0.00000003 -0.31500000 0.32500002 0.00000000 -0.31499997 0.32499999 0.00000002 0.00000000 0.00000000 0.16000001 0.00000003 0.00000002 0.15999997 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.70711 0.70711 0.00000 Vy= 0.00000 0.00000 1.00000 Vz= 0.70711 -0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.01000002 0.00000003 0.00000000 0.00000000 0.16000001 0.00000000 0.00000003 0.15999997 0.00000001 0.00000000 0.00000000 0.64000005 0.00000000 0.00000001 0.63999993 """ getTLS3_test044 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 2.00000 3.00000 3.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 2.00000 3.00000 parallel to j : (wjx,wjy,wjz)= -1.00000 0.00000 2.00000 parallel to k : (wkx,wky,wkz)= 4.00000 1.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.500000 -0.300000 0.700000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.1000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0100000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 1.00000 1.00000 1.00000 0.00000 0.00000 modified shifts sx,sy,sz for the libration axes and the trace -1.366667 -0.766667 0.492593 0.056000 0.000000 principal Libration axes (orthonormal L base) L1= 0.26726 0.53452 0.80178 L2= 0.92212 0.09969 -0.37383 L3= -0.27975 0.83925 -0.46625 principal Vibration axes (orthonormal V base) V1= 0.57735 0.57735 0.57735 V2= 0.81650 -0.40825 -0.40825 V3= 0.00000 0.70711 -0.70711 TLS matrices from Libration in the L-base 0.26867777 -0.36000001 0.08000001 0.01000000 0.00000000 0.00000000 -0.01366667 0.03000000 -0.02000000 -0.36000001 1.55351114 -0.06000000 0.00000000 0.04000000 0.00000000 -0.08000001 -0.03066667 -0.04000000 0.08000001 -0.06000000 0.10183828 0.00000000 0.00000000 0.09000000 0.09000000 -0.36000001 0.04433334 TLS matrices from Libration in the M-base 1.18967915 -0.06853300 -0.70325685 0.04177019 -0.01602484 0.00009317 0.06204721 -0.09267259 -0.08686541 -0.06853301 0.18730368 0.11607221 -0.01602484 0.06664596 -0.03242236 -0.25683391 0.02228853 0.14590052 -0.70325685 0.11607219 0.54704458 0.00009317 -0.03242236 0.03158385 0.18746558 -0.01028393 -0.08433574 V matrix from Vibration in the V-base 0.01000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.11000001 -0.05000000 -0.05000000 -0.05000000 0.34999996 -0.28999996 -0.05000000 -0.28999996 0.34999996 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 1.29967916 -0.11853299 -0.75325686 0.04177019 -0.01602484 0.00009317 0.06204721 -0.09267259 -0.08686541 -0.11853301 0.53730363 -0.17392775 -0.01602484 0.06664596 -0.03242236 -0.25683391 0.02228853 0.14590052 -0.75325686 -0.17392777 0.89704454 0.00009317 -0.03242236 0.03158385 0.18746558 -0.01028393 -0.08433574 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.26726 0.53452 0.80178 Ly= 0.92212 0.09969 -0.37383 Lz= -0.27975 0.83925 -0.46625 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.31724912 -0.44232687 -0.01121537 0.01000000 0.00000000 0.00000000 -0.01366667 0.03000000 -0.02000000 -0.44232678 1.74633145 0.08534361 0.00000000 0.04000000 0.00000000 -0.08000001 -0.03066667 -0.04000000 -0.01121539 0.08534359 0.67044687 0.00000000 0.00000000 0.09000000 0.09000000 -0.36000001 0.04433334 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 2.00000 3.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= -1.00000 0.00000 2.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 4.00000 1.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 1.00499 2.71714 -2.14642 Wly, axis parallel to ly : (wjx,wjy,wjz)= -0.82676 1.14399 -1.73429 Wlz, axis parallel to lz : (wkx,wky,wkz)= 1.99117 2.23778 2.83330 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes -1.366667 -0.766667 0.492593 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.25000000 -0.36000001 0.08000001 0.01867778 0.00000000 0.00000000 0.26867777 -0.36000001 0.08000001 -0.36000001 1.53000009 -0.06000000 0.00000000 0.02351111 0.00000000 -0.36000001 1.55351114 -0.06000000 0.08000001 -0.06000000 0.08000001 0.00000000 0.00000000 0.02183827 0.08000001 -0.06000000 0.10183828 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.04857142 -0.08232684 -0.09121538 0.04857135 -0.08232686 -0.09121538 -0.08232684 0.19281989 0.14534362 -0.08232677 0.19282031 0.14534362 -0.09121536 0.14534362 0.56860864 -0.09121539 0.14534360 0.56860858 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.11000001 -0.05000000 -0.05000000 0.11000040 -0.04999991 -0.05000012 -0.05000000 0.34999996 -0.28999996 -0.04999998 0.34999990 -0.28999999 -0.05000000 -0.28999996 0.34999996 -0.05000018 -0.28999999 0.34999993 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.57735 0.57735 0.57735 Vy= 0.81650 -0.40825 -0.40825 Vz= 0.00000 0.70711 -0.70711 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.01000000 0.00000000 0.00000000 0.01000003 0.00000015 0.00000007 0.00000000 0.16000001 0.00000000 0.00000025 0.16000028 0.00000013 0.00000000 0.00000000 0.64000005 0.00000006 0.00000013 0.63999975 """ # Ensemble generation tests #################################################### pdb_str = """\n REMARK this is PDB formatted CH3-HN-CO-CH3-mod.xyz file CRYST1 6.000 6.000 3.000 90.00 90.00 90.00 P 1 ATOM 1 N ALA 1 1.500 0.000 0.000 1.00 0.91 E ATOM 1 CA ALA 1 0.000 0.000 0.000 1.00 0.91 E ATOM 1 CB ALA 1 0.000 1.500 0.000 1.00 0.91 E ATOM 1 C ALA 1 0.000 0.000 1.500 1.00 0.91 E ATOM 1 O ALA 1 -1.000 -1.000 2.000 1.00 0.91 E end """ getTLS_test111="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.2000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0400000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0400000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.2000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test112="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.2000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0400000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 1.00000 -1.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 -0.04000000 -0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 -0.04000000 -0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 -0.04000000 -0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 -0.04000000 -0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0400000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.2000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 1.00000 -1.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 1.00000 -1.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test113="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.2000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0400000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0400000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.2000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test114 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.2000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0400000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 1.00000 -1.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 -0.04000000 -0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 -0.04000000 -0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 -0.04000000 -0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 -0.04000000 -0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0400000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.2000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 1.00000 -1.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 1.00000 -1.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test121 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.2000000 0.0000000 dx2,dy2,dz2= 0.0000000 0.0400000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0400000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.2000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test122 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.2000000 0.0000000 dx2,dy2,dz2= 0.0000000 0.0400000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 1.00000 0.00000 -1.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0400000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.2000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 1.00000 0.00000 -1.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 1.00000 0.00000 -1.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test123 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.2000000 0.0000000 dx2,dy2,dz2= 0.0000000 0.0400000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 2.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0400000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.2000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 2.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test124 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.2000000 0.0000000 dx2,dy2,dz2= 0.0000000 0.0400000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 1.00000 0.00000 -1.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 2.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.08000001 0.04000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.08000001 0.04000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.08000001 0.04000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.08000001 0.04000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0400000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.2000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 1.00000 0.00000 -1.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 1.00000 0.00000 -1.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 2.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.04000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.04000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test131 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.2000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0400000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0400000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.2000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test132 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.2000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0400000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 1.00000 -1.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 -0.04000000 -0.04000000 0.00000000 TLS matrices from Libration in the M-base 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 -0.04000000 -0.04000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 -0.04000000 -0.04000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 -0.04000000 -0.04000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0400000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.2000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 1.00000 -1.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 1.00000 -1.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test133 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.2000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0400000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0400000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.2000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test134 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.2000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0400000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 1.00000 -1.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 -0.04000000 -0.04000000 0.08000001 TLS matrices from Libration in the M-base 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 -0.04000000 -0.04000000 0.08000001 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 -0.04000000 -0.04000000 0.08000001 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 -0.04000000 -0.04000000 0.08000001 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0400000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.2000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 1.00000 -1.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 1.00000 -1.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test141="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.2000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0400000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.04000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.64000005 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.04000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.64000005 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.04000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.64000005 """ getTLS_test142="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.2000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0400000 0.1600000 0.6400000 vectors defining the principal Vibration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 0.66667 0.66667 -0.33333 V2= -0.70711 0.70711 0.00000 V3= 0.23570 0.23570 0.94281 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.13333334 -0.02666666 0.13333334 -0.02666666 0.13333334 0.13333334 0.13333334 0.13333334 0.57333338 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.13333334 -0.02666666 0.13333334 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.02666666 0.13333334 0.13333334 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.13333334 0.13333334 0.57333338 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.13333334 -0.02666666 0.13333334 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.02666666 0.13333334 0.13333334 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.13333334 0.13333334 0.57333338 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.13333334 -0.02666666 0.13333334 0.13333334 -0.02666666 0.13333334 -0.02666666 0.13333334 0.13333334 -0.02666666 0.13333334 0.13333334 0.13333334 0.13333334 0.57333338 0.13333334 0.13333334 0.57333338 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.13333334 -0.02666666 0.13333334 0.13333334 -0.02666666 0.13333334 -0.02666666 0.13333334 0.13333334 -0.02666666 0.13333334 0.13333334 0.13333334 0.13333334 0.57333338 0.13333334 0.13333334 0.57333338 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.66667 0.66667 -0.33333 Vy= -0.70711 0.70711 0.00000 Vz= 0.23570 0.23570 0.94281 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.04000000 0.00000000 0.00000000 0.04000001 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000000 0.00000000 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.64000005 """ getTLS_test143="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.2000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0400000 0.1600000 0.6400000 vectors defining the principal Vibration axes -1.00000 1.00000 0.00000 1.00000 1.00000 -0.50000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= -0.70711 0.70711 0.00000 V2= 0.66667 0.66667 -0.33333 V3= -0.23570 -0.23570 -0.94281 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.12666668 0.08666668 0.10666668 0.08666668 0.12666668 0.10666668 0.10666668 0.10666668 0.58666670 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.12666668 0.08666668 0.10666668 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08666668 0.12666668 0.10666668 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.10666668 0.10666668 0.58666670 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.12666668 0.08666668 0.10666668 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08666668 0.12666668 0.10666668 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.10666668 0.10666668 0.58666670 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.12666668 0.08666668 0.10666668 0.12666668 0.08666668 0.10666668 0.08666668 0.12666668 0.10666668 0.08666668 0.12666668 0.10666668 0.10666668 0.10666668 0.58666670 0.10666668 0.10666668 0.58666670 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.12666668 0.08666668 0.10666668 0.12666668 0.08666668 0.10666668 0.08666668 0.12666668 0.10666668 0.08666668 0.12666668 0.10666668 0.10666668 0.10666668 0.58666670 0.10666668 0.10666668 0.58666670 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= -0.70711 0.70711 0.00000 Vy= 0.66667 0.66667 -0.33333 Vz= -0.23570 -0.23570 -0.94281 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.04000000 0.00000000 0.00000000 0.03999999 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000004 -0.00000001 0.00000000 0.00000000 0.64000005 0.00000000 0.00000000 0.64000005 """ getTLS_test144="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the L-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.2000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0400000 0.1600000 0.6400000 vectors defining the principal Vibration axes 0.00000 0.00000 1.00000 1.00000 1.00000 -0.50000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 0.00000 0.00000 1.00000 V2= 0.70711 0.70711 0.00000 V3= -0.70711 0.70711 0.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.40000001 -0.24000001 0.00000000 -0.24000001 0.40000001 0.00000000 0.00000000 0.00000000 0.04000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.40000001 -0.24000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.24000001 0.40000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.40000001 -0.24000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.24000001 0.40000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.40000001 -0.24000001 0.00000000 0.40000001 -0.24000001 0.00000000 -0.24000001 0.40000001 0.00000000 -0.24000001 0.40000001 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.04000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.40000001 -0.24000001 0.00000000 0.40000001 -0.24000001 0.00000000 -0.24000001 0.40000001 0.00000000 -0.24000001 0.40000001 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.04000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.00000 0.00000 1.00000 Vy= 0.70711 0.70711 0.00000 Vz= -0.70711 0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.04000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000000 -0.00000001 0.00000000 0.00000000 0.64000005 0.00000000 0.00000001 0.63999999 """ getTLS_test161 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.2000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0400000 vectors defining the principal Libration axes 0.23570 0.23570 0.94281 -0.70711 0.70711 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.23570 0.23570 0.94281 L2= -0.70711 0.70711 0.00000 L3= -0.66667 -0.66667 0.33333 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.01777782 0.01777782 -0.00888882 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01777782 0.01777782 -0.00888882 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00888882 -0.00888882 0.00444436 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.01777782 0.01777782 -0.00888882 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01777782 0.01777782 -0.00888882 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00888882 -0.00888882 0.00444436 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.23570 0.23570 0.94281 Ly= -0.70711 0.70711 0.00000 Lz= -0.66667 -0.66667 0.33333 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0400000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.2000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test162 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.2000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0400000 vectors defining the principal Libration axes 0.23570 0.23570 0.94281 -0.70711 0.70711 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.23570 0.23570 0.94281 L2= -0.70711 0.70711 0.00000 L3= -0.66667 -0.66667 0.33333 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000021 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 -0.05656862 0.00000000 TLS matrices from Libration in the M-base 0.04000010 -0.04000010 0.00000000 0.01777782 0.01777782 -0.00888882 -0.02666673 0.02666673 0.00000000 -0.04000010 0.04000010 0.00000000 0.01777782 0.01777782 -0.00888882 -0.02666673 0.02666673 0.00000000 0.00000000 0.00000000 0.00000000 -0.00888882 -0.00888882 0.00444436 0.01333322 -0.01333322 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.04000010 -0.04000010 0.00000000 0.01777782 0.01777782 -0.00888882 -0.02666673 0.02666673 0.00000000 -0.04000010 0.04000010 0.00000000 0.01777782 0.01777782 -0.00888882 -0.02666673 0.02666673 0.00000000 0.00000000 0.00000000 0.00000000 -0.00888882 -0.00888882 0.00444436 0.01333322 -0.01333322 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.23570 0.23570 0.94281 Ly= -0.70711 0.70711 0.00000 Lz= -0.66667 -0.66667 0.33333 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000020 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 -0.05656862 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0400000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.2000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 1.41422 0.00000 0.50000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000021 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000021 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test163 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.2000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0400000 vectors defining the principal Libration axes 0.23570 0.23570 0.94281 -0.70711 0.70711 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.23570 0.23570 0.94281 L2= -0.70711 0.70711 0.00000 L3= -0.66667 -0.66667 0.33333 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 TLS matrices from Libration in the M-base 0.07111128 0.07111128 -0.03555527 0.01777782 0.01777782 -0.00888882 0.03555564 0.03555564 -0.01777763 0.07111128 0.07111128 -0.03555527 0.01777782 0.01777782 -0.00888882 0.03555564 0.03555564 -0.01777763 -0.03555526 -0.03555526 0.01777744 -0.00888882 -0.00888882 0.00444436 -0.01777763 -0.01777763 0.00888872 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.07111128 0.07111128 -0.03555527 0.01777782 0.01777782 -0.00888882 0.03555564 0.03555564 -0.01777763 0.07111128 0.07111128 -0.03555527 0.01777782 0.01777782 -0.00888882 0.03555564 0.03555564 -0.01777763 -0.03555526 -0.03555526 0.01777744 -0.00888882 -0.00888882 0.00444436 -0.01777763 -0.01777763 0.00888872 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.23570 0.23570 0.94281 Ly= -0.70711 0.70711 0.00000 Lz= -0.66667 -0.66667 0.33333 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0400000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.2000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test164 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.2000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0400000 vectors defining the principal Libration axes 0.23570 0.23570 0.94281 -0.70711 0.70711 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.23570 0.23570 0.94281 L2= -0.70711 0.70711 0.00000 L3= -0.66667 -0.66667 0.33333 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000021 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 -0.05656862 0.08000001 TLS matrices from Libration in the M-base 0.11111139 0.03111119 -0.03555527 0.01777782 0.01777782 -0.00888882 0.00888891 0.06222238 -0.01777763 0.03111119 0.11111139 -0.03555527 0.01777782 0.01777782 -0.00888882 0.00888891 0.06222238 -0.01777763 -0.03555526 -0.03555526 0.01777744 -0.00888882 -0.00888882 0.00444436 -0.00444441 -0.03111086 0.00888872 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.11111139 0.03111119 -0.03555527 0.01777782 0.01777782 -0.00888882 0.00888891 0.06222238 -0.01777763 0.03111119 0.11111139 -0.03555527 0.01777782 0.01777782 -0.00888882 0.00888891 0.06222238 -0.01777763 -0.03555526 -0.03555526 0.01777744 -0.00888882 -0.00888882 0.00444436 -0.00444441 -0.03111086 0.00888872 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.23570 0.23570 0.94281 Ly= -0.70711 0.70711 0.00000 Lz= -0.66667 -0.66667 0.33333 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000020 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 -0.05656862 0.08000001 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0400000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.2000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 1.41422 0.00000 0.50000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000021 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000021 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 """ getTLS_test171 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.2000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0400000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.01777778 0.01777778 -0.00888889 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01777778 0.01777778 -0.00888889 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00888889 -0.00888889 0.00444445 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.01777778 0.01777778 -0.00888889 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01777778 0.01777778 -0.00888889 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00888889 -0.00888889 0.00444445 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0400000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.2000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test172 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.2000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0400000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.05656854 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.04000000 -0.04000000 0.00000000 0.01777778 0.01777778 -0.00888889 -0.02666667 0.02666667 0.00000000 -0.04000000 0.04000000 0.00000000 0.01777778 0.01777778 -0.00888889 -0.02666667 0.02666667 0.00000000 0.00000000 0.00000000 0.00000000 -0.00888889 -0.00888889 0.00444445 0.01333333 -0.01333333 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.04000000 -0.04000000 0.00000000 0.01777778 0.01777778 -0.00888889 -0.02666667 0.02666667 0.00000000 -0.04000000 0.04000000 0.00000000 0.01777778 0.01777778 -0.00888889 -0.02666667 0.02666667 0.00000000 0.00000000 0.00000000 0.00000000 -0.00888889 -0.00888889 0.00444445 0.01333333 -0.01333333 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.05656854 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0400000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.2000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= -0.50000 0.00000 1.41421 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test173 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.2000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0400000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.07111112 0.07111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.03555556 0.03555556 -0.01777778 0.07111112 0.07111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.03555556 0.03555556 -0.01777778 -0.03555556 -0.03555556 0.01777778 -0.00888889 -0.00888889 0.00444445 -0.01777778 -0.01777778 0.00888889 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.07111112 0.07111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.03555556 0.03555556 -0.01777778 0.07111112 0.07111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.03555556 0.03555556 -0.01777778 -0.03555556 -0.03555556 0.01777778 -0.00888889 -0.00888889 0.00444445 -0.01777778 -0.01777778 0.00888889 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.16000004 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0400000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.2000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000003 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000001 0.00000002 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000001 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 -0.00000001 -0.00000001 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000001 0.00000002 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000001 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 -0.00000001 -0.00000001 0.00000000 """ getTLS_test174 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.2000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0400000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.05656854 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.11111112 0.03111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.00888889 0.06222223 -0.01777778 0.03111112 0.11111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.00888889 0.06222223 -0.01777778 -0.03555556 -0.03555556 0.01777778 -0.00888889 -0.00888889 0.00444445 -0.00444445 -0.03111111 0.00888889 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.11111112 0.03111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.00888889 0.06222223 -0.01777778 0.03111112 0.11111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.00888889 0.06222223 -0.01777778 -0.03555556 -0.03555556 0.01777778 -0.00888889 -0.00888889 0.00444445 -0.00444445 -0.03111111 0.00888889 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.16000004 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.05656854 0.00000000 0.00000000 0.07999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0400000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.2000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= -0.50000 0.00000 1.41421 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000003 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000001 0.00000002 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000002 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000001 0.00000002 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000002 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 """ getTLS_test174new="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.2000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0400000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.16000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.05656854 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.11111112 0.03111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.00888889 0.06222223 -0.01777778 0.03111112 0.11111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.00888889 0.06222223 -0.01777778 -0.03555556 -0.03555556 0.01777778 -0.00888889 -0.00888889 0.00444445 -0.00444445 -0.03111111 0.00888889 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.11111112 0.03111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.00888889 0.06222223 -0.01777778 0.03111112 0.11111112 -0.03555556 0.01777778 0.01777778 -0.00888889 0.00888889 0.06222223 -0.01777778 -0.03555556 -0.03555556 0.01777778 -0.00888889 -0.00888889 0.00444445 -0.00444445 -0.03111111 0.00888889 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.16000004 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.08000001 0.05656854 0.00000000 0.00000000 0.07999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0400000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.2000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= -0.50000 0.00000 1.41421 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.08000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000003 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000001 0.00000002 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000002 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000001 0.00000002 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000002 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 """ getTLS_test175="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.3000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0900000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 0.00000 0.00000 1.00000 1.00000 1.00000 -0.50000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 0.00000 0.00000 1.00000 V2= 0.70711 0.70711 0.00000 V3= -0.70711 0.70711 0.00000 TLS matrices from Libration in the L-base 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 0.12727922 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.25000000 0.07000002 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 0.07000002 0.25000000 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 -0.08000001 -0.08000001 0.04000000 -0.02000000 -0.02000000 0.01000000 -0.01000000 -0.07000000 0.02000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.25000000 0.07000002 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 0.07000002 0.25000000 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 -0.08000001 -0.08000001 0.04000000 -0.02000000 -0.02000000 0.01000000 -0.01000000 -0.07000000 0.02000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.36000004 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 0.12727922 0.00000000 0.00000000 0.17999998 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0900000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.3000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= -0.50000 0.00000 1.41421 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000003 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000001 0.00000002 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000002 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.00000 0.00000 1.00000 Vy= 0.70711 0.70711 0.00000 Vz= -0.70711 0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000003 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 """ getTLS_test176="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0200000 0.0400000 0.0800000 tx2,ty2,tz2= 0.0004000 0.0016000 0.0064000 vectors defining the principal Vibration axes 0.00000 0.00000 1.00000 1.00000 1.00000 -0.50000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 0.00000 0.00000 1.00000 V2= 0.70711 0.70711 0.00000 V3= -0.70711 0.70711 0.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00040000 0.00000000 0.00000000 0.00000000 0.00160000 0.00000000 0.00000000 0.00000000 0.00640000 V matrix from Vibration in the M-base 0.00400000 -0.00240000 0.00000000 -0.00240000 0.00400000 0.00000000 0.00000000 0.00000000 0.00040000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00400000 -0.00240000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00240000 0.00400000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00040000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00146667 0.00000000 0.00037712 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00640000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00037712 0.00000000 0.00053333 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= -0.50000 0.00000 1.41421 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00146667 0.00000000 0.00037712 0.00146667 0.00000000 0.00037712 0.00000000 0.00640000 0.00000000 0.00000000 0.00640000 0.00000000 0.00037712 0.00000000 0.00053333 0.00037712 0.00000000 0.00053333 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00400000 -0.00240000 0.00000000 0.00400000 -0.00240000 0.00000000 -0.00240000 0.00400000 0.00000000 -0.00240000 0.00400000 0.00000000 0.00000000 0.00000000 0.00040000 0.00000000 0.00000000 0.00040000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.00000 0.00000 1.00000 Vy= 0.70711 0.70711 0.00000 Vz= -0.70711 0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00040000 0.00000000 0.00000000 0.00040000 0.00000000 0.00000000 0.00000000 0.00160000 0.00000000 0.00000000 0.00160000 0.00000000 0.00000000 0.00000000 0.00640000 0.00000000 0.00000000 0.00640000 """ getTLS_test181 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.3000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0900000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0200000 0.0400000 0.0800000 tx2,ty2,tz2= 0.0004000 0.0016000 0.0064000 vectors defining the principal Vibration axes 0.00000 0.00000 1.00000 1.00000 1.00000 -0.50000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 0.00000 0.00000 1.00000 V2= 0.70711 0.70711 0.00000 V3= -0.70711 0.70711 0.00000 TLS matrices from Libration in the L-base 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 0.12727922 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.25000000 0.07000002 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 0.07000002 0.25000000 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 -0.08000001 -0.08000001 0.04000000 -0.02000000 -0.02000000 0.01000000 -0.01000000 -0.07000000 0.02000000 V matrix from Vibration in the V-base 0.00040000 0.00000000 0.00000000 0.00000000 0.00160000 0.00000000 0.00000000 0.00000000 0.00640000 V matrix from Vibration in the M-base 0.00400000 -0.00240000 0.00000000 -0.00240000 0.00400000 0.00000000 0.00000000 0.00000000 0.00040000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.25400001 0.06760002 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 0.06760002 0.25400001 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 -0.08000001 -0.08000001 0.04040000 -0.02000000 -0.02000000 0.01000000 -0.01000000 -0.07000000 0.02000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.36146674 -0.00000001 0.00037712 0.09000000 0.00000000 0.00000000 0.18000001 0.12727922 0.00000000 0.00000000 0.18639998 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00037713 0.00000000 0.00053333 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0900000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.3000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= -0.50000 0.00000 1.41421 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00146667 0.00000000 0.00037712 0.00146672 -0.00000001 0.00037712 0.00000000 0.00640000 0.00000000 0.00000000 0.00639999 0.00000000 0.00037712 0.00000000 0.00053333 0.00037713 0.00000000 0.00053333 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00400000 -0.00240000 0.00000000 0.00400002 -0.00239997 -0.00000001 -0.00240000 0.00400000 0.00000000 -0.00239997 0.00400002 -0.00000002 0.00000000 0.00000000 0.00040000 -0.00000001 -0.00000001 0.00040001 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.00000 0.00000 1.00000 Vy= 0.70711 0.70711 0.00000 Vz= -0.70711 0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00040000 0.00000000 0.00000000 0.00040001 -0.00000001 0.00000000 0.00000000 0.00160000 0.00000000 -0.00000002 0.00160005 0.00000000 0.00000000 0.00000000 0.00640000 0.00000000 0.00000000 0.00639999 """ getTLS_test181new="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.3000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0900000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0200000 0.0400000 0.0800000 tx2,ty2,tz2= 0.0004000 0.0016000 0.0064000 vectors defining the principal Vibration axes 0.00000 0.00000 1.00000 1.00000 1.00000 -0.50000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 0.00000 0.00000 1.00000 V2= 0.70711 0.70711 0.00000 V3= -0.70711 0.70711 0.00000 TLS matrices from Libration in the L-base 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 0.12727922 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.25000000 0.07000002 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 0.07000002 0.25000000 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 -0.08000001 -0.08000001 0.04000000 -0.02000000 -0.02000000 0.01000000 -0.01000000 -0.07000000 0.02000000 V matrix from Vibration in the V-base 0.00040000 0.00000000 0.00000000 0.00000000 0.00160000 0.00000000 0.00000000 0.00000000 0.00640000 V matrix from Vibration in the M-base 0.00400000 -0.00240000 0.00000000 -0.00240000 0.00400000 0.00000000 0.00000000 0.00000000 0.00040000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.25400001 0.06760002 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 0.06760002 0.25400001 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 -0.08000001 -0.08000001 0.04040000 -0.02000000 -0.02000000 0.01000000 -0.01000000 -0.07000000 0.02000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.36146674 -0.00000001 0.00037712 0.09000000 0.00000000 0.00000000 0.18000001 0.12727922 0.00000000 0.00000000 0.18639998 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00037713 0.00000000 0.00053333 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0900000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.3000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= -0.50000 0.00000 1.41421 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00146667 0.00000000 0.00037712 0.00146672 -0.00000001 0.00037712 0.00000000 0.00640000 0.00000000 0.00000000 0.00639999 0.00000000 0.00037712 0.00000000 0.00053333 0.00037713 0.00000000 0.00053333 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00400000 -0.00240000 0.00000000 0.00400002 -0.00239997 -0.00000001 -0.00240000 0.00400000 0.00000000 -0.00239997 0.00400002 -0.00000002 0.00000000 0.00000000 0.00040000 -0.00000001 -0.00000001 0.00040001 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.00000 0.00000 1.00000 Vy= 0.70711 0.70711 0.00000 Vz= -0.70711 0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00040000 0.00000000 0.00000000 0.00040001 -0.00000001 0.00000000 0.00000000 0.00160000 0.00000000 -0.00000002 0.00160005 0.00000000 0.00000000 0.00000000 0.00640000 0.00000000 0.00000000 0.00639999 """ getTLS_test182 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.0300000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0009000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.2000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0400000 0.1600000 0.6400000 vectors defining the principal Vibration axes 0.00000 0.00000 1.00000 1.00000 1.00000 -0.50000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 0.00000 0.00000 1.00000 V2= 0.70711 0.70711 0.00000 V3= -0.70711 0.70711 0.00000 TLS matrices from Libration in the L-base 0.00360000 0.00000000 0.00000000 0.00090000 0.00000000 0.00000000 0.00180000 0.00127279 0.00000000 0.00000000 0.00180000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00250000 0.00070000 -0.00080000 0.00040000 0.00040000 -0.00020000 0.00020000 0.00140000 -0.00040000 0.00070000 0.00250000 -0.00080000 0.00040000 0.00040000 -0.00020000 0.00020000 0.00140000 -0.00040000 -0.00080000 -0.00080000 0.00040000 -0.00020000 -0.00020000 0.00010000 -0.00010000 -0.00070000 0.00020000 V matrix from Vibration in the V-base 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.40000001 -0.24000001 0.00000000 -0.24000001 0.40000001 0.00000000 0.00000000 0.00000000 0.04000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.40250000 -0.23930001 -0.00080000 0.00040000 0.00040000 -0.00020000 0.00020000 0.00140000 -0.00040000 -0.23930001 0.40250000 -0.00080000 0.00040000 0.00040000 -0.00020000 0.00020000 0.00140000 -0.00040000 -0.00080000 -0.00080000 0.04040000 -0.00020000 -0.00020000 0.00010000 -0.00010000 -0.00070000 0.00020000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.15026666 -0.00000001 0.03771236 0.00090000 0.00000000 0.00000000 0.00180000 0.00127279 0.00000000 -0.00000003 0.64179999 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.03771236 0.00000000 0.05333333 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0009000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.0300000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= -0.50000 0.00000 1.41421 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00360000 0.00000000 0.00000000 0.00360000 0.00000000 0.00000000 0.00000000 0.00180000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00180000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.14666668 0.00000000 0.03771236 0.14666666 -0.00000001 0.03771236 -0.00000001 0.63999999 0.00000000 -0.00000003 0.63999999 -0.00000001 0.03771236 0.00000000 0.05333334 0.03771236 0.00000000 0.05333333 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.40000001 -0.24000001 0.00000000 0.40000001 -0.23999996 0.00000000 -0.24000001 0.40000001 0.00000000 -0.23999999 0.39999998 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.04000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.00000 0.00000 1.00000 Vy= 0.70711 0.70711 0.00000 Vz= -0.70711 0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.04000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000001 -0.00000001 0.00000000 0.00000000 0.64000005 0.00000000 -0.00000003 0.63999993 """ getTLS_test183 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.3000000 0.0000000 0.0000000 dx2,dy2,dz2= 0.0900000 0.0000000 0.0000000 vectors defining the principal Libration axes 1.00000 1.00000 -0.50000 -1.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.2000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0400000 0.1600000 0.6400000 vectors defining the principal Vibration axes 0.00000 0.00000 1.00000 1.00000 1.00000 -0.50000 principal Libration axes (orthonormal L base) L1= 0.66667 0.66667 -0.33333 L2= -0.70711 0.70711 0.00000 L3= 0.23570 0.23570 0.94281 principal Vibration axes (orthonormal V base) V1= 0.00000 0.00000 1.00000 V2= 0.70711 0.70711 0.00000 V3= -0.70711 0.70711 0.00000 TLS matrices from Libration in the L-base 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 0.12727922 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.25000000 0.07000002 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 0.07000002 0.25000000 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 -0.08000001 -0.08000001 0.04000000 -0.02000000 -0.02000000 0.01000000 -0.01000000 -0.07000000 0.02000000 V matrix from Vibration in the V-base 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.40000001 -0.24000001 0.00000000 -0.24000001 0.40000001 0.00000000 0.00000000 0.00000000 0.04000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.64999998 -0.16999999 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 -0.16999999 0.64999998 -0.08000001 0.04000000 0.04000000 -0.02000000 0.02000001 0.14000000 -0.04000000 -0.08000001 -0.08000001 0.08000001 -0.02000000 -0.02000000 0.01000000 -0.01000000 -0.07000000 0.02000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 0.66667 0.66667 -0.33333 Ly= -0.70711 0.70711 0.00000 Lz= 0.23570 0.23570 0.94281 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.50666672 -0.00000002 0.03771237 0.09000000 0.00000000 0.00000000 0.18000001 0.12727922 0.00000000 0.00000003 0.81999993 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.03771235 -0.00000001 0.05333333 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0900000 0.0000000 0.0000000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.3000000 0.0000000 0.0000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= -0.50000 0.00000 1.41421 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 1.50000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 2.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.17999999 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.14666668 0.00000000 0.03771236 0.14666671 -0.00000002 0.03771237 -0.00000001 0.63999999 0.00000000 0.00000003 0.63999993 0.00000001 0.03771236 0.00000000 0.05333334 0.03771235 -0.00000001 0.05333333 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.40000001 -0.24000001 0.00000000 0.39999998 -0.23999996 0.00000000 -0.24000001 0.40000001 0.00000000 -0.23999992 0.39999998 -0.00000001 0.00000000 0.00000000 0.04000000 -0.00000001 -0.00000001 0.04000001 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.00000 0.00000 1.00000 Vy= 0.70711 0.70711 0.00000 Vz= -0.70711 0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.04000000 0.00000000 0.00000000 0.04000001 -0.00000002 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.16000003 -0.00000003 0.00000000 0.00000000 0.64000005 0.00000000 0.00000003 0.63999987 """ getTLS_test190 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= 1.00000 0.00000 0.00000 L2= 0.00000 1.00000 0.00000 L3= 0.00000 0.00000 1.00000 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= 1.00000 0.00000 0.00000 Ly= 0.00000 1.00000 0.00000 Lz= 0.00000 0.00000 1.00000 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 2.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.36000001 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test191 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes -0.70711 0.70711 0.00000 0.23570 0.23570 0.94281 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= -0.70711 0.70711 0.00000 L2= 0.23570 0.23570 0.94281 L3= 0.66667 0.66667 -0.33333 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.00000000 0.00000000 0.00000000 0.04722228 0.03722228 -0.01111102 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.03722228 0.04722228 -0.01111102 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.01111102 -0.01111102 0.04555546 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.00000000 0.00000000 0.00000000 0.04722228 0.03722228 -0.01111102 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.03722228 0.04722228 -0.01111102 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.01111102 -0.01111102 0.04555546 0.00000000 0.00000000 0.00000000 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= -0.70711 0.70711 0.00000 Ly= 0.23570 0.23570 0.94281 Lz= 0.66667 0.66667 -0.33333 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test192 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes -0.70711 0.70711 0.00000 0.23570 0.23570 0.94281 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 1.00000 1.20000 -2.00000 parallel to j : (wjx,wjy,wjz)= -1.00000 1.30000 0.50000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= -0.70711 0.70711 0.00000 L2= 0.23570 0.23570 0.94281 L3= 0.66667 0.66667 -0.33333 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.18004490 0.00000000 -0.00216858 0.01000000 0.00000000 0.00000000 0.00000000 0.02133329 0.01367080 0.00000000 0.04551093 0.02916432 0.00000000 0.04000000 0.00000000 -0.00133340 0.00000000 0.06505383 -0.00216858 0.02916432 0.12448908 0.00000000 0.00000000 0.09000000 0.12727939 0.00000000 0.00000000 TLS matrices from Libration in the M-base 0.15908936 -0.02300013 -0.00202204 0.04722228 0.03722228 -0.01111102 -0.05955578 0.06000006 -0.01611102 -0.02300012 0.15500022 -0.00099978 0.03722228 0.04722228 -0.01111102 -0.03955578 0.08000006 0.00588899 -0.00202205 -0.00099978 0.03595534 -0.01111102 -0.01111102 0.04555546 0.07177768 0.01000030 -0.02044428 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.15908936 -0.02300013 -0.00202204 0.04722228 0.03722228 -0.01111102 -0.05955578 0.06000006 -0.01611102 -0.02300012 0.15500022 -0.00099978 0.03722228 0.04722228 -0.01111102 -0.03955578 0.08000006 0.00588899 -0.00202205 -0.00099978 0.03595534 -0.01111102 -0.01111102 0.04555546 0.07177768 0.01000030 -0.02044428 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= -0.70711 0.70711 0.00000 Ly= 0.23570 0.23570 0.94281 Lz= 0.66667 0.66667 -0.33333 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.18004490 0.00000000 -0.00216858 0.01000000 0.00000000 0.00000000 0.00000000 0.02133329 0.01367080 0.00000000 0.04551093 0.02916432 0.00000000 0.04000000 0.00000000 -0.00133340 0.00000000 0.06505383 -0.00216859 0.02916432 0.12448908 0.00000000 0.00000000 0.09000000 0.12727939 0.00000000 0.00000000 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.14142 -1.36708 2.13333 Wly, axis parallel to ly : (wjx,wjy,wjz)= 1.62635 0.54212 0.03334 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 1.41422 -0.50000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 1.00000 1.20000 -2.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= -1.00000 1.30000 0.50000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 0.000000 0.000000 0.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.18004490 0.00000000 -0.00216858 0.00000000 0.00000000 0.00000000 0.18004490 0.00000000 -0.00216858 0.00000000 0.04551093 0.02916432 0.00000000 0.00000000 0.00000000 0.00000000 0.04551093 0.02916432 -0.00216858 0.02916432 0.12448908 0.00000000 0.00000000 0.00000000 -0.00216858 0.02916432 0.12448908 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 """ getTLS_test193 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes -0.70711 0.70711 0.00000 0.23570 0.23570 0.94281 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 parallel to j : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 correlation shifts sx,sy,sz for the libration axes 1.000000 -1.000000 2.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= -0.70711 0.70711 0.00000 L2= 0.23570 0.23570 0.94281 L3= 0.66667 0.66667 -0.33333 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.01000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 -0.04000000 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 TLS matrices from Libration in the M-base 0.16722256 0.15722257 -0.07111052 0.04722228 0.03722228 -0.01111102 0.08277801 0.07277802 -0.04888849 0.15722257 0.16722256 -0.07111052 0.03722228 0.04722228 -0.01111102 0.07277802 0.08277801 -0.04888849 -0.07111052 -0.07111052 0.07555489 -0.01111102 -0.01111102 0.04555546 -0.04888849 -0.04888849 -0.01555602 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.16722256 0.15722257 -0.07111052 0.04722228 0.03722228 -0.01111102 0.08277801 0.07277802 -0.04888849 0.15722257 0.16722256 -0.07111052 0.03722228 0.04722228 -0.01111102 0.07277802 0.08277801 -0.04888849 -0.07111052 -0.07111052 0.07555489 -0.01111102 -0.01111102 0.04555546 -0.04888849 -0.04888849 -0.01555602 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= -0.70711 0.70711 0.00000 Ly= 0.23570 0.23570 0.94281 Lz= 0.66667 0.66667 -0.33333 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.00999999 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.04000001 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 -0.04000000 0.00000000 -0.00000001 0.00000000 0.36000001 0.00000000 0.00000000 0.09000000 0.00000000 0.00000000 0.18000001 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.00000 0.00000 0.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= 0.00000 0.00000 0.00000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 0.00000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 1.000000 -1.000000 2.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.00000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.01000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.36000001 0.00000000 0.00000000 0.36000001 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 -0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 """ getTLS_test194 = """\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes -0.70711 0.70711 0.00000 0.23570 0.23570 0.94281 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 1.00000 1.20000 -2.00000 parallel to j : (wjx,wjy,wjz)= -1.00000 1.30000 0.50000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 correlation shifts sx,sy,sz for the libration axes 1.000000 -1.000000 2.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.0000000 0.0000000 0.0000000 tx2,ty2,tz2= 0.0000000 0.0000000 0.0000000 vectors defining the principal Vibration axes 1.00000 0.00000 0.00000 0.00000 1.00000 0.00000 principal Libration axes (orthonormal L base) L1= -0.70711 0.70711 0.00000 L2= 0.23570 0.23570 0.94281 L3= 0.66667 0.66667 -0.33333 principal Vibration axes (orthonormal V base) V1= 1.00000 0.00000 0.00000 V2= 0.00000 1.00000 0.00000 V3= 0.00000 0.00000 1.00000 TLS matrices from Libration in the L-base 0.19004491 0.00000000 -0.00216858 0.01000000 0.00000000 0.00000000 0.01000000 0.02133329 0.01367080 0.00000000 0.08551092 0.02916432 0.00000000 0.04000000 0.00000000 -0.00133340 -0.04000000 0.06505383 -0.00216858 0.02916432 0.48448908 0.00000000 0.00000000 0.09000000 0.12727939 0.00000000 0.18000001 TLS matrices from Libration in the M-base 0.32631192 0.13422243 -0.07313257 0.04722228 0.03722228 -0.01111102 0.02322223 0.13277806 -0.06499951 0.13422246 0.32222280 -0.07211030 0.03722228 0.04722228 -0.01111102 0.03322224 0.16277806 -0.04299950 -0.07313257 -0.07211030 0.11151022 -0.01111102 -0.01111102 0.04555546 0.02288919 -0.03888819 -0.03600030 V matrix from Vibration in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 V matrix from Vibration in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.32631192 0.13422243 -0.07313257 0.04722228 0.03722228 -0.01111102 0.02322223 0.13277806 -0.06499951 0.13422246 0.32222280 -0.07211030 0.03722228 0.04722228 -0.01111102 0.03322224 0.16277806 -0.04299950 -0.07313257 -0.07211030 0.11151022 -0.01111102 -0.01111102 0.04555546 0.02288919 -0.03888819 -0.03600030 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= -0.70711 0.70711 0.00000 Ly= 0.23570 0.23570 0.94281 Lz= 0.66667 0.66667 -0.33333 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.19004489 0.00000000 -0.00216857 0.01000000 0.00000000 0.00000000 0.01000000 0.02133329 0.01367080 0.00000000 0.08551093 0.02916432 0.00000000 0.04000000 0.00000000 -0.00133340 -0.04000000 0.06505383 -0.00216860 0.02916433 0.48448908 0.00000000 0.00000000 0.09000000 0.12727939 0.00000000 0.18000001 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.14142 -1.36708 2.13333 Wly, axis parallel to ly : (wjx,wjy,wjz)= 1.62635 0.54212 0.03334 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 1.41422 -0.50000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 1.00000 1.20000 -2.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= -1.00000 1.30000 0.50000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 1.000000 -1.000000 2.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.18004490 0.00000000 -0.00216858 0.01000000 0.00000000 0.00000000 0.19004491 0.00000000 -0.00216858 0.00000000 0.04551093 0.02916432 0.00000000 0.04000000 0.00000000 0.00000000 0.08551092 0.02916432 -0.00216858 0.02916432 0.12448908 0.00000000 0.00000000 0.36000001 -0.00216858 0.02916432 0.48448908 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000000 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000002 0.00000001 0.00000000 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000001 0.00000000 0.00000000 0.00000000 0.00000003 -0.00000001 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 1.00000 0.00000 0.00000 Vy= 0.00000 1.00000 0.00000 Vz= 0.00000 0.00000 1.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000001 0.00000001 0.00000000 0.00000000 0.00000000 0.00000003 -0.00000001 0.00000001 0.00000000 0.00000000 0.00000000 0.00000000 0.00000001 0.00000000 """ getTLS_test195="""\n ** control information -NOT FOR COMPARISON- SKIP IT** rms and rms2 Libration around i,j,k dx ,dy ,dz = 0.1000000 0.2000000 0.3000000 dx2,dy2,dz2= 0.0100000 0.0400000 0.0900000 vectors defining the principal Libration axes -0.70711 0.70711 0.00000 0.23570 0.23570 0.94281 rotation axes pass through the points in the M-system parallel to i : (wix,wiy,wiz)= 1.00000 1.20000 -2.00000 parallel to j : (wjx,wjy,wjz)= -1.00000 1.30000 0.50000 parallel to k : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 correlation shifts sx,sy,sz for the libration axes 1.000000 -1.000000 2.000000 rms and rms2 Vibration along x,y,z tx ,ty ,tz = 0.2000000 0.4000000 0.8000000 tx2,ty2,tz2= 0.0400000 0.1600000 0.6400000 vectors defining the principal Vibration axes 0.00000 0.00000 1.00000 1.00000 1.00000 -0.50000 principal Libration axes (orthonormal L base) L1= -0.70711 0.70711 0.00000 L2= 0.23570 0.23570 0.94281 L3= 0.66667 0.66667 -0.33333 principal Vibration axes (orthonormal V base) V1= 0.00000 0.00000 1.00000 V2= 0.70711 0.70711 0.00000 V3= -0.70711 0.70711 0.00000 TLS matrices from Libration in the L-base 0.19004491 0.00000000 -0.00216858 0.01000000 0.00000000 0.00000000 0.01000000 0.02133329 0.01367080 0.00000000 0.08551092 0.02916432 0.00000000 0.04000000 0.00000000 -0.00133340 -0.04000000 0.06505383 -0.00216858 0.02916432 0.48448908 0.00000000 0.00000000 0.09000000 0.12727939 0.00000000 0.18000001 TLS matrices from Libration in the M-base 0.32631192 0.13422243 -0.07313257 0.04722228 0.03722228 -0.01111102 0.02322223 0.13277806 -0.06499951 0.13422246 0.32222280 -0.07211030 0.03722228 0.04722228 -0.01111102 0.03322224 0.16277806 -0.04299950 -0.07313257 -0.07211030 0.11151022 -0.01111102 -0.01111102 0.04555546 0.02288919 -0.03888819 -0.03600030 V matrix from Vibration in the V-base 0.04000000 0.00000000 0.00000000 0.00000000 0.16000001 0.00000000 0.00000000 0.00000000 0.64000005 V matrix from Vibration in the M-base 0.40000001 -0.24000001 0.00000000 -0.24000001 0.40000001 0.00000000 0.00000000 0.00000000 0.04000000 ************* INFORMATION FOR COMPARISON ********** *** T[M] L[M] S[M] *** total TLS matrices in the main base (initial information) *** 0.72631192 -0.10577758 -0.07313257 0.04722228 0.03722228 -0.01111102 0.02322223 0.13277806 -0.06499951 -0.10577755 0.72222281 -0.07211030 0.03722228 0.04722228 -0.01111102 0.03322224 0.16277806 -0.04299950 -0.07313257 -0.07211030 0.15151022 -0.01111102 -0.01111102 0.04555546 0.02288919 -0.03888819 -0.03600030 *** Lx Ly Lz *** principal Libration axes (orthonormal L base) Lx= -0.70711 0.70711 0.00000 Ly= 0.23570 0.23570 0.94281 Lz= 0.66667 0.66667 -0.33333 *** T[L] L[L] S[L] *** total TLS matrices in the L base *** 0.83004487 -0.00000001 -0.00216855 0.01000000 0.00000000 0.00000000 0.01000000 0.02133329 0.01367080 0.00000001 0.13884401 0.06687638 0.00000000 0.04000000 0.00000000 -0.00133340 -0.04000000 0.06505383 -0.00216862 0.06687639 0.63115603 0.00000000 0.00000000 0.09000000 0.12727939 0.00000000 0.18000001 *** dx2 dy2 dz2 *** rms^2: Libration around lx,ly,lz 0.0100000 0.0400000 0.0900000 *** dx dy dz *** rms : Libration around lx,ly,lz 0.1000000 0.2000000 0.3000000 *** Wlx[L] Wly[L] Wlz[L] *** rotation axes pass through the points in the L-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 0.14142 -1.36708 2.13333 Wly, axis parallel to ly : (wjx,wjy,wjz)= 1.62635 0.54212 0.03334 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 1.41422 -0.50000 *** Wlx[M] Wly[M] Wlz[M] *** rotation axes pass through the points in the M-base Wlx, axis parallel to lx : (wix,wiy,wiz)= 1.00000 1.20000 -2.00000 Wly, axis parallel to ly : (wjx,wjy,wjz)= -1.00000 1.30000 0.50000 Wlz, axis parallel to lz : (wkx,wky,wkz)= 0.00000 0.00000 1.50000 *** sx sy sz *** correlation shifts sx,sy,sz for the libration axes 1.000000 -1.000000 2.000000 *** CW[L] CS[L] C[L]=CW[L]+CS[L] *** translation matrices from libration in the L base *** 0.18004490 0.00000000 -0.00216858 0.01000000 0.00000000 0.00000000 0.19004491 0.00000000 -0.00216858 0.00000000 0.04551093 0.02916432 0.00000000 0.04000000 0.00000000 0.00000000 0.08551092 0.02916432 -0.00216858 0.02916432 0.12448908 0.00000000 0.00000000 0.36000001 -0.00216858 0.02916432 0.48448908 *** V[L] V[L]=T[L]-C[L] *** vibration matrix in the L-base 0.63999999 0.00000000 0.00000001 0.63999999 -0.00000001 0.00000002 0.00000000 0.05333309 0.03771205 0.00000001 0.05333309 0.03771206 0.00000001 0.03771205 0.14666691 -0.00000004 0.03771207 0.14666694 *** V[M] V[M]=RML*VM*RMLtr *** vibration matrix in the M-base 0.40000001 -0.24000001 0.00000000 0.40000001 -0.23999999 0.00000001 -0.24000001 0.40000001 0.00000000 -0.23999994 0.40000001 0.00000000 0.00000000 0.00000000 0.04000000 -0.00000001 0.00000001 0.04000000 *** Vx Vy Vz *** principal Vibration axes (orthonormal V base) Vx= 0.00000 0.00000 1.00000 Vy= 0.70711 0.70711 0.00000 Vz= -0.70711 0.70711 0.00000 *** V[V] V[V]=RMVtr*VM*RMV *** vibration matrix in the V-base 0.04000000 0.00000000 0.00000000 0.04000000 0.00000000 0.00000002 0.00000000 0.16000001 0.00000000 0.00000001 0.16000006 -0.00000004 0.00000000 0.00000000 0.64000005 -0.00000001 0.00000002 0.63999993 """ def generate_input_pdb(T,L,S, pdb_lines, prefix): pi = iotbx.pdb.input(source_info=None, lines=pdb_lines) ph = pi.construct_hierarchy() xrs = pi.xray_structure_simple() sel = [flex.bool(xrs.scatterers().size(), True).iselection()] tlsos = mmtbx.tls.tools.generate_tlsos( selections = sel, xray_structure = xrs, T=[T.as_sym_mat3()], L=[L.as_sym_mat3()], S=[S]) u_cart_from_tls = mmtbx.tls.tools.u_cart_from_tls( sites_cart = xrs.sites_cart(), selections = sel, tlsos = tlsos) xrs.convert_to_anisotropic() xrs.set_u_cart(u_cart=u_cart_from_tls) ph.adopt_xray_structure(xrs) of = open("%s_start.pdb"%prefix, "w") mmtbx.tls.tools.remark_3_tls(tlsos=tlsos, selection_strings=["all"], out=of) of.close() ph.write_pdb_file( file_name = "%s_start.pdb"%prefix, open_append = True, crystal_symmetry = xrs.crystal_symmetry()) def generate_ensemble(pdb_lines, r, prefix): # read inputs pdb_inp = iotbx.pdb.input(source_info=None, lines=pdb_lines) xrs = pdb_inp.xray_structure_simple() xrs.convert_to_isotropic() xrs = xrs.set_b_iso(value=0) sites_cart = xrs.sites_cart() h = pdb_inp.construct_hierarchy() #states = mmtbx.utils.states(xray_structure=xrs, pdb_hierarchy=h) # #remark_3_records = pdb_inp.extract_remark_iii_records(3) #tls_extract = mmtbx.tls.tools.tls_from_pdb_inp( # remark_3_records = remark_3_records, # pdb_hierarchy = h) #assert len(tls_extract.tls_params)==1 #tlso = tls_extract.tls_params[0] #print "Input T:", tlso.t #print " L:", tlso.l #print " S:", tlso.s #T = matrix.sym(sym_mat3=tlso.t) #L = matrix.sym(sym_mat3=tlso.l)#*sc #??? #S = matrix.sqr(tlso.s) # run through steps #r = tls_as_xyz.decompose_tls(T=T, L=L, S=S) # iteratable tls_as_xyz.ensemble_generator( decompose_tls_object = r, pdb_hierarchy = h, xray_structure = xrs, n_models = 499, # that's how many my version of Pymol can show log = sys.stdout).write_pdb_file( file_name="%s_ensemble.pdb"%prefix) def run_core(lines, prefix, comp, generate): log = open("%s.log"%prefix, "w") print_step("Test %s:"%prefix, log) e = extract(s=lines) r = tls_as_xyz.decompose_tls(T=e.T_M, L=e.L_M, S=e.S_M, log=log) log.close() if(comp): compare(e, r) if(generate): generate_input_pdb(T=e.T_M,L=e.L_M,S=e.S_M,pdb_lines=pdb_str,prefix=prefix) generate_ensemble(pdb_lines=pdb_str, r=r, prefix=prefix) def exercises_0(): for lines, prefix in [(getTLS3_test001, "getTLS3_test001"), (getTLS3_test004, "getTLS3_test004"), (getTLS3_test011, "getTLS3_test011"), (getTLS3_test014, "getTLS3_test014"), (getTLS3_test021, "getTLS3_test021"), (getTLS3_test024, "getTLS3_test024"), (getTLS3_test031, "getTLS3_test031"), (getTLS3_test034, "getTLS3_test034"), (getTLS3_test041, "getTLS3_test041"), (getTLS3_test044, "getTLS3_test044")]: run_core(lines=lines, prefix=prefix, comp=True, generate=False) def exercises_1(): for lines, prefix in [(getTLS_test111, "getTLS_test111"), (getTLS_test112, "getTLS_test112"), (getTLS_test113, "getTLS_test113"), (getTLS_test114, "getTLS_test114"), (getTLS_test121, "getTLS_test121"), (getTLS_test122, "getTLS_test122"), (getTLS_test123, "getTLS_test123"), (getTLS_test124, "getTLS_test124"), (getTLS_test131, "getTLS_test131"), (getTLS_test132, "getTLS_test132"), (getTLS_test133, "getTLS_test133"), (getTLS_test134, "getTLS_test134"), (getTLS_test141, "getTLS_test141"), (getTLS_test142, "getTLS_test142"), (getTLS_test143, "getTLS_test143"), (getTLS_test144, "getTLS_test144") ]: run_core(lines=lines, prefix=prefix, comp=True, generate=True) def exercises_2(): # ensembles from 16x series must be exactly the same as from 17x for lines, prefix in [(getTLS_test161, "getTLS_test161"), (getTLS_test162, "getTLS_test162"), (getTLS_test163, "getTLS_test163"), (getTLS_test164, "getTLS_test164") ]: run_core(lines=lines, prefix=prefix, comp=False, generate=True) for lines, prefix in [(getTLS_test171, "getTLS_test171"), (getTLS_test172, "getTLS_test172"), (getTLS_test173, "getTLS_test173"), (getTLS_test174, "getTLS_test174"), (getTLS_test174new, "getTLS_test174new"), (getTLS_test175, "getTLS_test175"), (getTLS_test176, "getTLS_test176")]: run_core(lines=lines, prefix=prefix, comp=False, generate=True) # XXX Also check ensembles 16x == 17x def exercises_3(): # Vot seriya 18x; napravleniya vekrotov translyacii i vrascheniya odinakovy # dlya vseh treh sluchaev, no v 181 vraschenie >> translyacii, v 182 # vreaschenie << translyacii, v 183 oni sravnimy (kam mne kazhetsya # teoreticheski). # Da, kazhetsya , my esche ne probovali vraschenie srazu vokrug treh osej ? # Dlya etogo seriya 19x. No tut glazom uzhe slozhno proveryatx. Razve chto # sravnitx tvoi i moj chisla ? for lines, prefix in [(getTLS_test181, "getTLS_test181"), (getTLS_test181new, "getTLS_test181new"), (getTLS_test182, "getTLS_test182"), (getTLS_test183, "getTLS_test183"), (getTLS_test191, "getTLS_test191"), #(getTLS_test192, "getTLS_test192"), #(getTLS_test193, "getTLS_test193"), #(getTLS_test194, "getTLS_test194"), #(getTLS_test195, "getTLS_test195") ]: run_core(lines=lines, prefix=prefix, comp=True, generate=True) if (__name__ == "__main__"): if(1): exercises_0() if(0): exercises_1() # currently fails if(1): exercises_2() if(1): exercises_3()