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pod |
time |
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/* |
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*+ |
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* Name: |
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4
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* palOne2One |
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6
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* Purpose: |
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7
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* File containing simple PAL wrappers for SLA routines that are identical in SOFA |
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8
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9
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* Invocation: |
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10
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* Matches SLA API |
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12
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* Language: |
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* Starlink ANSI C |
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15
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* Type of Module: |
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* Library routine |
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18
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* Description: |
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19
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* Some SOFA/ERFA routines are identical to their SLA counterparts. PAL provides |
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* direct counterparts to these although it is generally a better idea to |
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21
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* use the SOFA/ERFA routine directly in new code. |
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22
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* |
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23
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* The PAL routines with direct equivalents in SOFA/ERFA are: |
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24
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* - palCldj |
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25
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* - palDbear |
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26
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* - palDaf2r |
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27
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* - palDav2m |
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28
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* - palDcc2s |
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29
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* - palDcs2c |
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30
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* - palDd2tf |
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31
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* - palDimxv |
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32
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* - palDm2av |
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33
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* - palDjcl |
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34
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* - palDmxm |
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35
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* - palDmxv |
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36
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* - palDpav |
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37
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* - palDr2af |
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38
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* - palDr2tf |
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39
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* - palDranrm |
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40
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* - palDsep |
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41
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* - palDsepv |
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42
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* - palDtf2d |
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43
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* - palDtf2r |
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44
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* - palDvdv |
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45
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* - palDvn |
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46
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* - palDvxv |
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47
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* - palEpb |
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48
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* - palEpb2d |
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49
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* - palEpj |
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50
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* - palEpj2d |
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51
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* - palEqeqx |
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52
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* - palFk5hz |
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53
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* - palGmst |
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54
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* - palGmsta |
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55
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* - palHfk5z |
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56
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* - palRefcoq |
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57
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58
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* Authors: |
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59
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* TIMJ: Tim Jenness (JAC, Hawaii) |
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60
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* DSB: David S Berry (JAC, Hawaii) |
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61
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* {enter_new_authors_here} |
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62
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63
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* Notes: |
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64
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* - Do not call these functions from other PAL functions. Always use |
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65
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* the SOFA/ERFA routines directly in new code. |
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66
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* - These are implemented as real functions rather than C preprocessor |
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67
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* macros so there may be a performance penalty in using the PAL |
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68
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* version instead of the SOFA/ERFA version. |
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69
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* - Routines that take MJDs have SOFA/ERFA equivalents that have an explicit |
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70
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* MJD offset included. |
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71
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* - palEqeqx, palGmst and palGmsta use the IAU 2006 precession model. |
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72
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73
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* History: |
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74
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* 2012-02-10 (TIMJ): |
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75
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* Initial version |
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76
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* Adapted with permission from the Fortran SLALIB library. |
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77
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* 2012-03-23 (TIMJ): |
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78
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* Update prologue. |
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79
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* 2012-05-09 (DSBJ): |
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80
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* Move palDrange into a separate file. |
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81
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* 2014-07-15 (TIMJ): |
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82
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* SOFA now has palRefcoq equivalent. |
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83
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* {enter_further_changes_here} |
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84
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85
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* Copyright: |
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86
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* Copyright (C) 2014 Tim Jenness |
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87
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* Copyright (C) 2012 Science and Technology Facilities Council. |
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88
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* All Rights Reserved. |
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89
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90
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* Licence: |
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91
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* This program is free software: you can redistribute it and/or |
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92
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* modify it under the terms of the GNU Lesser General Public |
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93
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* License as published by the Free Software Foundation, either |
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94
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* version 3 of the License, or (at your option) any later |
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95
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* version. |
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96
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* |
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97
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* This program is distributed in the hope that it will be useful, |
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98
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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99
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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100
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* GNU Lesser General Public License for more details. |
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101
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* |
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102
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* You should have received a copy of the GNU Lesser General |
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103
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* License along with this program. If not, see |
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104
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* . |
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105
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106
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* Bugs: |
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107
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* {note_any_bugs_here} |
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108
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*- |
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109
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*/ |
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110
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111
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#include "pal.h" |
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112
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#include "palmac.h" |
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113
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#include "pal1sofa.h" |
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114
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115
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/* |
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116
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*+ |
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117
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* Name: |
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118
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* palCldj |
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119
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120
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* Purpose: |
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121
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* Gregorian Calendar to Modified Julian Date |
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122
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123
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* Language: |
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124
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* Starlink ANSI C |
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125
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126
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* Type of Module: |
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127
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* Library routine |
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128
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129
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* Invocation: |
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130
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* palCldj( int iy, int im, int id, double *djm, int *j ); |
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131
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132
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* Arguments: |
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133
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* iy = int (Given) |
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134
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* Year in Gregorian calendar |
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135
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* im = int (Given) |
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136
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* Month in Gregorian calendar |
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137
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* id = int (Given) |
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138
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* Day in Gregorian calendar |
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139
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* djm = double * (Returned) |
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140
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* Modified Julian Date (JD-2400000.5) for 0 hrs |
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141
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* j = int * (Returned) |
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142
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* status: 0 = OK, 1 = bad year (MJD not computed), |
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143
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* 2 = bad month (MJD not computed), 3 = bad day (MJD computed). |
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144
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145
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* Description: |
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146
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* Gregorian calendar to Modified Julian Date. |
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147
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148
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* Notes: |
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149
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* - Uses eraCal2jd(). See SOFA/ERFA documentation for details. |
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150
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151
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*- |
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152
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*/ |
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153
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154
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5
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void palCldj ( int iy, int im, int id, double *djm, int *j ) { |
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155
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double djm0; |
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156
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5
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*j = eraCal2jd( iy, im, id, &djm0, djm ); |
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157
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5
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} |
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158
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159
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/* |
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160
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*+ |
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161
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* Name: |
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162
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* palDbear |
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163
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164
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* Purpose: |
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165
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* Bearing (position angle) of one point on a sphere relative to another |
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166
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167
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* Language: |
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168
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* Starlink ANSI C |
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169
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170
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* Type of Module: |
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171
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* Library routine |
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172
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173
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* Invocation: |
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174
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* pa = palDbear( double a1, double b1, double a2, double b2 ); |
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175
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176
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* Arguments: |
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177
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* a1 = double (Given) |
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178
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* Longitude of point A (e.g. RA) in radians. |
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179
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* a2 = double (Given) |
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180
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* Latitude of point A (e.g. Dec) in radians. |
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181
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* b1 = double (Given) |
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182
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* Longitude of point B in radians. |
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183
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* b2 = double (Given) |
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184
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* Latitude of point B in radians. |
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185
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186
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* Returned Value: |
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187
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* The result is the bearing (position angle), in radians, of point |
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188
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* A2,B2 as seen from point A1,B1. It is in the range +/- pi. If |
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189
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* A2,B2 is due east of A1,B1 the bearing is +pi/2. Zero is returned |
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190
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* if the two points are coincident. |
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191
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192
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* Description: |
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193
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* Bearing (position angle) of one point in a sphere relative to another. |
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194
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195
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* Notes: |
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196
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* - Uses eraPas(). See SOFA/ERFA documentation for details. |
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197
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198
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*- |
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199
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*/ |
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200
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201
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1
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double palDbear ( double a1, double b1, double a2, double b2 ) { |
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202
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1
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return eraPas( a1, b1, a2, b2 ); |
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203
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} |
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204
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205
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/* |
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206
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*+ |
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207
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* Name: |
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208
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* palDaf2r |
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209
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210
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* Purpose: |
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211
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* Convert degrees, arcminutes, arcseconds to radians |
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212
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213
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* Language: |
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214
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* Starlink ANSI C |
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215
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216
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* Type of Module: |
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217
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* Library routine |
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218
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219
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* Invocation: |
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220
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* palDaf2r( int ideg, int iamin, double asec, double *rad, int *j ); |
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221
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222
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* Arguments: |
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223
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* ideg = int (Given) |
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224
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* Degrees. |
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225
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* iamin = int (Given) |
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226
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* Arcminutes. |
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227
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* iasec = double (Given) |
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* Arcseconds. |
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229
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* rad = double * (Returned) |
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230
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* Angle in radians. |
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231
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* j = int * (Returned) |
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232
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* Status: 0 = OK, 1 = "ideg" out of range 0-359, |
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233
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* 2 = "iamin" outside of range 0-59, |
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* 2 = "asec" outside range 0-59.99999 |
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235
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236
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* Description: |
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237
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* Convert degrees, arcminutes, arcseconds to radians. |
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238
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239
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* Notes: |
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240
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* - Uses eraAf2a(). See SOFA/ERFA documentation for details. |
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241
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242
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*- |
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*/ |
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244
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245
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/* Arguments differ slightly. Assumes that the sign is always positive |
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246
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and dealt with externally. */ |
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247
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5
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void palDaf2r ( int ideg, int iamin, double asec, double *rad, int *j ) { |
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248
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5
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*j = eraAf2a( ' ', ideg, iamin, asec, rad ); |
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249
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5
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} |
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251
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/* |
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252
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*+ |
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253
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* Name: |
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254
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* palDav2m |
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255
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256
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* Purpose: |
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257
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* Form the rotation matrix corresponding to a given axial vector. |
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258
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259
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* Language: |
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* Starlink ANSI C |
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261
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262
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* Type of Module: |
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263
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* Library routine |
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264
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265
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* Invocation: |
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266
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* palDav2m( double axvec[3], double rmat[3][3] ); |
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267
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268
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* Arguments: |
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269
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* axvec = double [3] (Given) |
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270
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* Axial vector (radians) |
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271
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* rmat = double [3][3] (Returned) |
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272
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* Rotation matrix. |
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273
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274
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* Description: |
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275
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* A rotation matrix describes a rotation about some arbitrary axis, |
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276
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* called the Euler axis. The "axial vector" supplied to this routine |
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277
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* has the same direction as the Euler axis, and its magnitude is the |
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278
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* amount of rotation in radians. |
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279
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280
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* Notes: |
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281
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* - Uses eraRv2m(). See SOFA/ERFA documentation for details. |
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282
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283
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*- |
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284
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*/ |
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285
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286
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0
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void palDav2m ( double axvec[3], double rmat[3][3] ) { |
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287
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0
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eraRv2m( axvec, rmat ); |
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288
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0
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} |
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289
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290
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/* |
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291
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*+ |
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292
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* Name: |
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293
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* palDcc2s |
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294
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295
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* Purpose: |
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296
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* Cartesian to spherical coordinates |
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297
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298
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* Language: |
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299
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* Starlink ANSI C |
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300
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301
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* Type of Module: |
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302
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* Library routine |
|
303
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304
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* Invocation: |
|
305
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* palDcc2s( double v[3], double *a, double *b ); |
|
306
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307
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* Arguments: |
|
308
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* v = double [3] (Given) |
|
309
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* x, y, z vector. |
|
310
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* a = double * (Returned) |
|
311
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* Spherical coordinate (radians) |
|
312
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* b = double * (Returned) |
|
313
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* Spherical coordinate (radians) |
|
314
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|
315
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* Description: |
|
316
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|
* The spherical coordinates are longitude (+ve anticlockwise looking |
|
317
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|
* from the +ve latitude pole) and latitude. The Cartesian coordinates |
|
318
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|
* are right handed, with the x axis at zero longitude and latitude, and |
|
319
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|
* the z axis at the +ve latitude pole. |
|
320
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|
321
|
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|
* Notes: |
|
322
|
|
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|
* - Uses eraC2s(). See SOFA/ERFA documentation for details. |
|
323
|
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|
324
|
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*- |
|
325
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*/ |
|
326
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|
327
|
373
|
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|
void palDcc2s ( double v[3], double *a, double *b ) { |
|
328
|
373
|
|
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|
|
eraC2s( v, a, b ); |
|
329
|
373
|
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|
} |
|
330
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|
331
|
|
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/* |
|
332
|
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*+ |
|
333
|
|
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|
|
* Name: |
|
334
|
|
|
|
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|
|
* palDcs2c |
|
335
|
|
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|
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|
336
|
|
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|
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|
|
* Purpose: |
|
337
|
|
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|
|
* Spherical coordinates to direction cosines |
|
338
|
|
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|
339
|
|
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|
|
* Language: |
|
340
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|
* Starlink ANSI C |
|
341
|
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|
342
|
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|
* Type of Module: |
|
343
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|
* Library routine |
|
344
|
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|
345
|
|
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|
* Invocation: |
|
346
|
|
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|
|
* palDcs2c( double a, double b, double v[3] ); |
|
347
|
|
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|
348
|
|
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|
|
|
|
* Arguments: |
|
349
|
|
|
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|
|
* a = double (Given) |
|
350
|
|
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|
|
* Spherical coordinate in radians (ra, long etc). |
|
351
|
|
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|
|
* b = double (Given) |
|
352
|
|
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|
|
* Spherical coordinate in radians (dec, lat etc). |
|
353
|
|
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|
|
|
|
* v = double [3] (Returned) |
|
354
|
|
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|
|
* x, y, z vector |
|
355
|
|
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|
|
|
|
|
|
356
|
|
|
|
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|
|
* Description: |
|
357
|
|
|
|
|
|
|
* The spherical coordinates are longitude (+ve anticlockwise looking |
|
358
|
|
|
|
|
|
|
* from the +ve latitude pole) and latitude. The Cartesian coordinates |
|
359
|
|
|
|
|
|
|
* are right handed, with the x axis at zero longitude and latitude, and |
|
360
|
|
|
|
|
|
|
* the z axis at the +ve latitude pole. |
|
361
|
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|
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|
|
|
362
|
|
|
|
|
|
|
* Notes: |
|
363
|
|
|
|
|
|
|
* - Uses eraS2c(). See SOFA/ERFA documentation for details. |
|
364
|
|
|
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|
|
|
|
|
365
|
|
|
|
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|
|
*- |
|
366
|
|
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|
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|
|
*/ |
|
367
|
|
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|
|
368
|
11
|
|
|
|
|
|
void palDcs2c ( double a, double b, double v[3] ) { |
|
369
|
11
|
|
|
|
|
|
eraS2c( a, b, v ); |
|
370
|
11
|
|
|
|
|
|
} |
|
371
|
|
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|
372
|
|
|
|
|
|
|
/* |
|
373
|
|
|
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|
|
*+ |
|
374
|
|
|
|
|
|
|
* Name: |
|
375
|
|
|
|
|
|
|
* palDd2tf |
|
376
|
|
|
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|
|
|
|
|
377
|
|
|
|
|
|
|
* Purpose: |
|
378
|
|
|
|
|
|
|
* Convert an interval in days into hours, minutes, seconds |
|
379
|
|
|
|
|
|
|
|
|
380
|
|
|
|
|
|
|
* Language: |
|
381
|
|
|
|
|
|
|
* Starlink ANSI C |
|
382
|
|
|
|
|
|
|
|
|
383
|
|
|
|
|
|
|
* Type of Module: |
|
384
|
|
|
|
|
|
|
* Library routine |
|
385
|
|
|
|
|
|
|
|
|
386
|
|
|
|
|
|
|
* Invocation: |
|
387
|
|
|
|
|
|
|
* palDd2tf( int ndp, double days, char *sign, int ihmsf[4] ); |
|
388
|
|
|
|
|
|
|
|
|
389
|
|
|
|
|
|
|
* Arguments: |
|
390
|
|
|
|
|
|
|
* ndp = int (Given) |
|
391
|
|
|
|
|
|
|
* Number of decimal places of seconds |
|
392
|
|
|
|
|
|
|
* days = double (Given) |
|
393
|
|
|
|
|
|
|
* Interval in days |
|
394
|
|
|
|
|
|
|
* sign = char * (Returned) |
|
395
|
|
|
|
|
|
|
* '+' or '-' (single character, not string) |
|
396
|
|
|
|
|
|
|
* ihmsf = int [4] (Returned) |
|
397
|
|
|
|
|
|
|
* Hours, minutes, seconds, fraction |
|
398
|
|
|
|
|
|
|
|
|
399
|
|
|
|
|
|
|
* Description: |
|
400
|
|
|
|
|
|
|
* Convert and interval in days into hours, minutes, seconds. |
|
401
|
|
|
|
|
|
|
|
|
402
|
|
|
|
|
|
|
* Notes: |
|
403
|
|
|
|
|
|
|
* - Uses eraD2tf(). See SOFA/ERFA documentation for details. |
|
404
|
|
|
|
|
|
|
|
|
405
|
|
|
|
|
|
|
*- |
|
406
|
|
|
|
|
|
|
*/ |
|
407
|
|
|
|
|
|
|
|
|
408
|
1
|
|
|
|
|
|
void palDd2tf ( int ndp, double days, char *sign, int ihmsf[4] ) { |
|
409
|
1
|
|
|
|
|
|
eraD2tf( ndp, days, sign, ihmsf ); |
|
410
|
1
|
|
|
|
|
|
} |
|
411
|
|
|
|
|
|
|
|
|
412
|
|
|
|
|
|
|
/* |
|
413
|
|
|
|
|
|
|
*+ |
|
414
|
|
|
|
|
|
|
* Name: |
|
415
|
|
|
|
|
|
|
* palDimxv |
|
416
|
|
|
|
|
|
|
|
|
417
|
|
|
|
|
|
|
* Purpose: |
|
418
|
|
|
|
|
|
|
* Perform the 3-D backward unitary transformation |
|
419
|
|
|
|
|
|
|
|
|
420
|
|
|
|
|
|
|
* Language: |
|
421
|
|
|
|
|
|
|
* Starlink ANSI C |
|
422
|
|
|
|
|
|
|
|
|
423
|
|
|
|
|
|
|
* Type of Module: |
|
424
|
|
|
|
|
|
|
* Library routine |
|
425
|
|
|
|
|
|
|
|
|
426
|
|
|
|
|
|
|
* Invocation: |
|
427
|
|
|
|
|
|
|
* palDimxv( double dm[3][3], double va[3], double vb[3] ); |
|
428
|
|
|
|
|
|
|
|
|
429
|
|
|
|
|
|
|
* Arguments: |
|
430
|
|
|
|
|
|
|
* dm = double [3][3] (Given) |
|
431
|
|
|
|
|
|
|
* Matrix |
|
432
|
|
|
|
|
|
|
* va = double [3] (Given) |
|
433
|
|
|
|
|
|
|
* vector |
|
434
|
|
|
|
|
|
|
* vb = double [3] (Returned) |
|
435
|
|
|
|
|
|
|
* Result vector |
|
436
|
|
|
|
|
|
|
|
|
437
|
|
|
|
|
|
|
* Description: |
|
438
|
|
|
|
|
|
|
* Perform the 3-D backward unitary transformation. |
|
439
|
|
|
|
|
|
|
|
|
440
|
|
|
|
|
|
|
* Notes: |
|
441
|
|
|
|
|
|
|
* - Uses eraTrxp(). See SOFA/ERFA documentation for details. |
|
442
|
|
|
|
|
|
|
|
|
443
|
|
|
|
|
|
|
*- |
|
444
|
|
|
|
|
|
|
*/ |
|
445
|
|
|
|
|
|
|
|
|
446
|
0
|
|
|
|
|
|
void palDimxv ( double dm[3][3], double va[3], double vb[3] ) { |
|
447
|
0
|
|
|
|
|
|
eraTrxp( dm, va, vb ); |
|
448
|
0
|
|
|
|
|
|
} |
|
449
|
|
|
|
|
|
|
|
|
450
|
|
|
|
|
|
|
/* |
|
451
|
|
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|
|
|
*+ |
|
452
|
|
|
|
|
|
|
* Name: |
|
453
|
|
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|
|
|
|
* palDm2av |
|
454
|
|
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|
|
|
|
455
|
|
|
|
|
|
|
* Purpose: |
|
456
|
|
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|
|
|
|
* From a rotation matrix, determine the corresponding axial vector |
|
457
|
|
|
|
|
|
|
|
|
458
|
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|
|
|
* Language: |
|
459
|
|
|
|
|
|
|
* Starlink ANSI C |
|
460
|
|
|
|
|
|
|
|
|
461
|
|
|
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|
|
* Type of Module: |
|
462
|
|
|
|
|
|
|
* Library routine |
|
463
|
|
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|
|
|
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|
|
464
|
|
|
|
|
|
|
* Invocation: |
|
465
|
|
|
|
|
|
|
* palDm2av( double rmat[3][3], double axvec[3] ); |
|
466
|
|
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|
|
|
|
467
|
|
|
|
|
|
|
* Arguments: |
|
468
|
|
|
|
|
|
|
* rmat = double [3][3] (Given) |
|
469
|
|
|
|
|
|
|
* Rotation matrix |
|
470
|
|
|
|
|
|
|
* axvec = double [3] (Returned) |
|
471
|
|
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|
|
|
* Axial vector (radians) |
|
472
|
|
|
|
|
|
|
|
|
473
|
|
|
|
|
|
|
* Description: |
|
474
|
|
|
|
|
|
|
* A rotation matrix describes a rotation about some arbitrary axis, |
|
475
|
|
|
|
|
|
|
* called the Euler axis. The "axial vector" returned by this routine |
|
476
|
|
|
|
|
|
|
* has the same direction as the Euler axis, and its magnitude is the |
|
477
|
|
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|
|
* amount of rotation in radians. (The magnitude and direction can be |
|
478
|
|
|
|
|
|
|
* separated by means of the routine palDvn.) |
|
479
|
|
|
|
|
|
|
|
|
480
|
|
|
|
|
|
|
* Notes: |
|
481
|
|
|
|
|
|
|
* - Uses eraRm2v(). See SOFA/ERFA documentation for details. |
|
482
|
|
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|
|
|
|
|
|
483
|
|
|
|
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*- |
|
484
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*/ |
|
485
|
|
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|
486
|
0
|
|
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|
|
|
void palDm2av ( double rmat[3][3], double axvec[3] ) { |
|
487
|
0
|
|
|
|
|
|
eraRm2v( rmat, axvec ); |
|
488
|
0
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|
|
} |
|
489
|
|
|
|
|
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|
|
|
490
|
|
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|
/* |
|
491
|
|
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*+ |
|
492
|
|
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|
|
|
|
* Name: |
|
493
|
|
|
|
|
|
|
* palDjcl |
|
494
|
|
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|
|
|
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|
|
495
|
|
|
|
|
|
|
* Purpose: |
|
496
|
|
|
|
|
|
|
* Modified Julian Date to Gregorian year, month, day and fraction of day |
|
497
|
|
|
|
|
|
|
|
|
498
|
|
|
|
|
|
|
* Language: |
|
499
|
|
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|
|
|
|
* Starlink ANSI C |
|
500
|
|
|
|
|
|
|
|
|
501
|
|
|
|
|
|
|
* Type of Module: |
|
502
|
|
|
|
|
|
|
* Library routine |
|
503
|
|
|
|
|
|
|
|
|
504
|
|
|
|
|
|
|
* Invocation: |
|
505
|
|
|
|
|
|
|
* palDjcl( double djm, int *iy, int *im, int *id, double *fd, int *j ); |
|
506
|
|
|
|
|
|
|
|
|
507
|
|
|
|
|
|
|
* Arguments: |
|
508
|
|
|
|
|
|
|
* djm = double (Given) |
|
509
|
|
|
|
|
|
|
* modified Julian Date (JD-2400000.5) |
|
510
|
|
|
|
|
|
|
* iy = int * (Returned) |
|
511
|
|
|
|
|
|
|
* year |
|
512
|
|
|
|
|
|
|
* im = int * (Returned) |
|
513
|
|
|
|
|
|
|
* month |
|
514
|
|
|
|
|
|
|
* id = int * (Returned) |
|
515
|
|
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|
|
|
|
* day |
|
516
|
|
|
|
|
|
|
* fd = double * (Returned) |
|
517
|
|
|
|
|
|
|
* Fraction of day. |
|
518
|
|
|
|
|
|
|
|
|
519
|
|
|
|
|
|
|
* Description: |
|
520
|
|
|
|
|
|
|
* Modified Julian Date to Gregorian year, month, day and fraction of day. |
|
521
|
|
|
|
|
|
|
|
|
522
|
|
|
|
|
|
|
* Notes: |
|
523
|
|
|
|
|
|
|
* - Uses eraJd2cal(). See SOFA/ERFA documentation for details. |
|
524
|
|
|
|
|
|
|
|
|
525
|
|
|
|
|
|
|
*- |
|
526
|
|
|
|
|
|
|
*/ |
|
527
|
|
|
|
|
|
|
|
|
528
|
|
|
|
|
|
|
/* Requires additional SLA MJD reference date */ |
|
529
|
1
|
|
|
|
|
|
void palDjcl ( double djm, int *iy, int *im, int *id, double *fd, int *j ) { |
|
530
|
1
|
|
|
|
|
|
*j = eraJd2cal( PAL__MJD0, djm, iy, im, id, fd ); |
|
531
|
1
|
|
|
|
|
|
} |
|
532
|
|
|
|
|
|
|
|
|
533
|
|
|
|
|
|
|
/* |
|
534
|
|
|
|
|
|
|
*+ |
|
535
|
|
|
|
|
|
|
* Name: |
|
536
|
|
|
|
|
|
|
* palDmxm |
|
537
|
|
|
|
|
|
|
|
|
538
|
|
|
|
|
|
|
* Purpose: |
|
539
|
|
|
|
|
|
|
* Product of two 3x3 matrices |
|
540
|
|
|
|
|
|
|
|
|
541
|
|
|
|
|
|
|
* Language: |
|
542
|
|
|
|
|
|
|
* Starlink ANSI C |
|
543
|
|
|
|
|
|
|
|
|
544
|
|
|
|
|
|
|
* Type of Module: |
|
545
|
|
|
|
|
|
|
* Library routine |
|
546
|
|
|
|
|
|
|
|
|
547
|
|
|
|
|
|
|
* Invocation: |
|
548
|
|
|
|
|
|
|
* palDmxm( double a[3][3], double b[3][3], double c[3][3] ); |
|
549
|
|
|
|
|
|
|
|
|
550
|
|
|
|
|
|
|
* Arguments: |
|
551
|
|
|
|
|
|
|
* a = double [3][3] (Given) |
|
552
|
|
|
|
|
|
|
* Matrix |
|
553
|
|
|
|
|
|
|
* b = double [3][3] (Given) |
|
554
|
|
|
|
|
|
|
* Matrix |
|
555
|
|
|
|
|
|
|
* c = double [3][3] (Returned) |
|
556
|
|
|
|
|
|
|
* Matrix result |
|
557
|
|
|
|
|
|
|
|
|
558
|
|
|
|
|
|
|
* Description: |
|
559
|
|
|
|
|
|
|
* Product of two 3x3 matrices. |
|
560
|
|
|
|
|
|
|
|
|
561
|
|
|
|
|
|
|
* Notes: |
|
562
|
|
|
|
|
|
|
* - Uses eraRxr(). See SOFA/ERFA documentation for details. |
|
563
|
|
|
|
|
|
|
|
|
564
|
|
|
|
|
|
|
*- |
|
565
|
|
|
|
|
|
|
*/ |
|
566
|
|
|
|
|
|
|
|
|
567
|
0
|
|
|
|
|
|
void palDmxm ( double a[3][3], double b[3][3], double c[3][3] ) { |
|
568
|
0
|
|
|
|
|
|
eraRxr( a, b, c ); |
|
569
|
0
|
|
|
|
|
|
} |
|
570
|
|
|
|
|
|
|
|
|
571
|
|
|
|
|
|
|
/* |
|
572
|
|
|
|
|
|
|
*+ |
|
573
|
|
|
|
|
|
|
* Name: |
|
574
|
|
|
|
|
|
|
* palDmxv |
|
575
|
|
|
|
|
|
|
|
|
576
|
|
|
|
|
|
|
* Purpose: |
|
577
|
|
|
|
|
|
|
* Performs the 3-D forward unitary transformation |
|
578
|
|
|
|
|
|
|
|
|
579
|
|
|
|
|
|
|
* Language: |
|
580
|
|
|
|
|
|
|
* Starlink ANSI C |
|
581
|
|
|
|
|
|
|
|
|
582
|
|
|
|
|
|
|
* Type of Module: |
|
583
|
|
|
|
|
|
|
* Library routine |
|
584
|
|
|
|
|
|
|
|
|
585
|
|
|
|
|
|
|
* Invocation: |
|
586
|
|
|
|
|
|
|
* palDmxv( double dm[3][3], double va[3], double vb[3] ); |
|
587
|
|
|
|
|
|
|
|
|
588
|
|
|
|
|
|
|
* Arguments: |
|
589
|
|
|
|
|
|
|
* dm = double [3][3] (Given) |
|
590
|
|
|
|
|
|
|
* matrix |
|
591
|
|
|
|
|
|
|
* va = double [3] (Given) |
|
592
|
|
|
|
|
|
|
* vector |
|
593
|
|
|
|
|
|
|
* dp = double [3] (Returned) |
|
594
|
|
|
|
|
|
|
* result vector |
|
595
|
|
|
|
|
|
|
|
|
596
|
|
|
|
|
|
|
* Description: |
|
597
|
|
|
|
|
|
|
* Performs the 3-D forward unitary transformation. |
|
598
|
|
|
|
|
|
|
|
|
599
|
|
|
|
|
|
|
* Notes: |
|
600
|
|
|
|
|
|
|
* - Uses eraRxp(). See SOFA/ERFA documentation for details. |
|
601
|
|
|
|
|
|
|
|
|
602
|
|
|
|
|
|
|
*- |
|
603
|
|
|
|
|
|
|
*/ |
|
604
|
|
|
|
|
|
|
|
|
605
|
184
|
|
|
|
|
|
void palDmxv ( double dm[3][3], double va[3], double vb[3] ) { |
|
606
|
184
|
|
|
|
|
|
eraRxp( dm, va, vb ); |
|
607
|
184
|
|
|
|
|
|
} |
|
608
|
|
|
|
|
|
|
|
|
609
|
|
|
|
|
|
|
/* |
|
610
|
|
|
|
|
|
|
*+ |
|
611
|
|
|
|
|
|
|
* Name: |
|
612
|
|
|
|
|
|
|
* palDpav |
|
613
|
|
|
|
|
|
|
|
|
614
|
|
|
|
|
|
|
* Purpose: |
|
615
|
|
|
|
|
|
|
* Position angle of one celestial direction with respect to another |
|
616
|
|
|
|
|
|
|
|
|
617
|
|
|
|
|
|
|
* Language: |
|
618
|
|
|
|
|
|
|
* Starlink ANSI C |
|
619
|
|
|
|
|
|
|
|
|
620
|
|
|
|
|
|
|
* Type of Module: |
|
621
|
|
|
|
|
|
|
* Library routine |
|
622
|
|
|
|
|
|
|
|
|
623
|
|
|
|
|
|
|
* Invocation: |
|
624
|
|
|
|
|
|
|
* pa = palDpav( double v1[3], double v2[3] ); |
|
625
|
|
|
|
|
|
|
|
|
626
|
|
|
|
|
|
|
* Arguments: |
|
627
|
|
|
|
|
|
|
* v1 = double [3] (Given) |
|
628
|
|
|
|
|
|
|
* direction cosines of one point. |
|
629
|
|
|
|
|
|
|
* v2 = double [3] (Given) |
|
630
|
|
|
|
|
|
|
* direction cosines of the other point. |
|
631
|
|
|
|
|
|
|
|
|
632
|
|
|
|
|
|
|
* Returned Value: |
|
633
|
|
|
|
|
|
|
* The result is the bearing (position angle), in radians, of point |
|
634
|
|
|
|
|
|
|
* V2 with respect to point V1. It is in the range +/- pi. The |
|
635
|
|
|
|
|
|
|
* sense is such that if V2 is a small distance east of V1, the |
|
636
|
|
|
|
|
|
|
* bearing is about +pi/2. Zero is returned if the two points |
|
637
|
|
|
|
|
|
|
* are coincident. |
|
638
|
|
|
|
|
|
|
|
|
639
|
|
|
|
|
|
|
* Description: |
|
640
|
|
|
|
|
|
|
* Position angle of one celestial direction with respect to another. |
|
641
|
|
|
|
|
|
|
|
|
642
|
|
|
|
|
|
|
* Notes: |
|
643
|
|
|
|
|
|
|
* - The coordinate frames correspond to RA,Dec, Long,Lat etc. |
|
644
|
|
|
|
|
|
|
* - Uses eraPap(). See SOFA/ERFA documentation for details. |
|
645
|
|
|
|
|
|
|
|
|
646
|
|
|
|
|
|
|
*- |
|
647
|
|
|
|
|
|
|
*/ |
|
648
|
|
|
|
|
|
|
|
|
649
|
0
|
|
|
|
|
|
double palDpav ( double v1[3], double v2[3] ) { |
|
650
|
0
|
|
|
|
|
|
return eraPap( v1, v2 ); |
|
651
|
|
|
|
|
|
|
} |
|
652
|
|
|
|
|
|
|
|
|
653
|
|
|
|
|
|
|
/* |
|
654
|
|
|
|
|
|
|
*+ |
|
655
|
|
|
|
|
|
|
* Name: |
|
656
|
|
|
|
|
|
|
* palDr2af |
|
657
|
|
|
|
|
|
|
|
|
658
|
|
|
|
|
|
|
* Purpose: |
|
659
|
|
|
|
|
|
|
* Convert an angle in radians to degrees, arcminutes, arcseconds |
|
660
|
|
|
|
|
|
|
|
|
661
|
|
|
|
|
|
|
* Language: |
|
662
|
|
|
|
|
|
|
* Starlink ANSI C |
|
663
|
|
|
|
|
|
|
|
|
664
|
|
|
|
|
|
|
* Type of Module: |
|
665
|
|
|
|
|
|
|
* Library routine |
|
666
|
|
|
|
|
|
|
|
|
667
|
|
|
|
|
|
|
* Invocation: |
|
668
|
|
|
|
|
|
|
* palDr2af( int ndp, double angle, char *sign, int idmsf[4] ); |
|
669
|
|
|
|
|
|
|
|
|
670
|
|
|
|
|
|
|
* Arguments: |
|
671
|
|
|
|
|
|
|
* ndp = int (Given) |
|
672
|
|
|
|
|
|
|
* number of decimal places of arcseconds |
|
673
|
|
|
|
|
|
|
* angle = double (Given) |
|
674
|
|
|
|
|
|
|
* angle in radians |
|
675
|
|
|
|
|
|
|
* sign = char * (Returned) |
|
676
|
|
|
|
|
|
|
* '+' or '-' (single character) |
|
677
|
|
|
|
|
|
|
* idmsf = int [4] (Returned) |
|
678
|
|
|
|
|
|
|
* Degrees, arcminutes, arcseconds, fraction |
|
679
|
|
|
|
|
|
|
|
|
680
|
|
|
|
|
|
|
* Description: |
|
681
|
|
|
|
|
|
|
* Convert an angle in radians to degrees, arcminutes, arcseconds. |
|
682
|
|
|
|
|
|
|
|
|
683
|
|
|
|
|
|
|
* Notes: |
|
684
|
|
|
|
|
|
|
* - Uses eraA2af(). See SOFA/ERFA documentation for details. |
|
685
|
|
|
|
|
|
|
|
|
686
|
|
|
|
|
|
|
*- |
|
687
|
|
|
|
|
|
|
*/ |
|
688
|
|
|
|
|
|
|
|
|
689
|
31
|
|
|
|
|
|
void palDr2af ( int ndp, double angle, char *sign, int idmsf[4] ) { |
|
690
|
31
|
|
|
|
|
|
eraA2af( ndp, angle, sign, idmsf ); |
|
691
|
31
|
|
|
|
|
|
} |
|
692
|
|
|
|
|
|
|
|
|
693
|
|
|
|
|
|
|
/* |
|
694
|
|
|
|
|
|
|
*+ |
|
695
|
|
|
|
|
|
|
* Name: |
|
696
|
|
|
|
|
|
|
* palDr2tf |
|
697
|
|
|
|
|
|
|
|
|
698
|
|
|
|
|
|
|
* Purpose: |
|
699
|
|
|
|
|
|
|
* Convert an angle in radians to hours, minutes, seconds |
|
700
|
|
|
|
|
|
|
|
|
701
|
|
|
|
|
|
|
* Language: |
|
702
|
|
|
|
|
|
|
* Starlink ANSI C |
|
703
|
|
|
|
|
|
|
|
|
704
|
|
|
|
|
|
|
* Type of Module: |
|
705
|
|
|
|
|
|
|
* Library routine |
|
706
|
|
|
|
|
|
|
|
|
707
|
|
|
|
|
|
|
* Invocation: |
|
708
|
|
|
|
|
|
|
* palDr2tf ( int ndp, double angle, char *sign, int ihmsf[4] ); |
|
709
|
|
|
|
|
|
|
|
|
710
|
|
|
|
|
|
|
* Arguments: |
|
711
|
|
|
|
|
|
|
* ndp = int (Given) |
|
712
|
|
|
|
|
|
|
* number of decimal places of arcseconds |
|
713
|
|
|
|
|
|
|
* angle = double (Given) |
|
714
|
|
|
|
|
|
|
* angle in radians |
|
715
|
|
|
|
|
|
|
* sign = char * (Returned) |
|
716
|
|
|
|
|
|
|
* '+' or '-' (single character) |
|
717
|
|
|
|
|
|
|
* idmsf = int [4] (Returned) |
|
718
|
|
|
|
|
|
|
* Hours, minutes, seconds, fraction |
|
719
|
|
|
|
|
|
|
|
|
720
|
|
|
|
|
|
|
* Description: |
|
721
|
|
|
|
|
|
|
* Convert an angle in radians to hours, minutes, seconds. |
|
722
|
|
|
|
|
|
|
|
|
723
|
|
|
|
|
|
|
* Notes: |
|
724
|
|
|
|
|
|
|
* - Uses eraA2tf(). See SOFA/ERFA documentation for details. |
|
725
|
|
|
|
|
|
|
|
|
726
|
|
|
|
|
|
|
*- |
|
727
|
|
|
|
|
|
|
*/ |
|
728
|
|
|
|
|
|
|
|
|
729
|
29
|
|
|
|
|
|
void palDr2tf( int ndp, double angle, char *sign, int ihmsf[4] ) { |
|
730
|
29
|
|
|
|
|
|
eraA2tf( ndp, angle, sign, ihmsf ); |
|
731
|
29
|
|
|
|
|
|
} |
|
732
|
|
|
|
|
|
|
|
|
733
|
|
|
|
|
|
|
/* |
|
734
|
|
|
|
|
|
|
*+ |
|
735
|
|
|
|
|
|
|
* Name: |
|
736
|
|
|
|
|
|
|
* palDranrm |
|
737
|
|
|
|
|
|
|
|
|
738
|
|
|
|
|
|
|
* Purpose: |
|
739
|
|
|
|
|
|
|
* Normalize angle into range 0-2 pi |
|
740
|
|
|
|
|
|
|
|
|
741
|
|
|
|
|
|
|
* Language: |
|
742
|
|
|
|
|
|
|
* Starlink ANSI C |
|
743
|
|
|
|
|
|
|
|
|
744
|
|
|
|
|
|
|
* Type of Module: |
|
745
|
|
|
|
|
|
|
* Library routine |
|
746
|
|
|
|
|
|
|
|
|
747
|
|
|
|
|
|
|
* Invocation: |
|
748
|
|
|
|
|
|
|
* norm = palDranrm( double angle ); |
|
749
|
|
|
|
|
|
|
|
|
750
|
|
|
|
|
|
|
* Arguments: |
|
751
|
|
|
|
|
|
|
* angle = double (Given) |
|
752
|
|
|
|
|
|
|
* angle in radians |
|
753
|
|
|
|
|
|
|
|
|
754
|
|
|
|
|
|
|
* Returned Value: |
|
755
|
|
|
|
|
|
|
* Angle expressed in the range 0-2 pi |
|
756
|
|
|
|
|
|
|
|
|
757
|
|
|
|
|
|
|
* Description: |
|
758
|
|
|
|
|
|
|
* Normalize angle into range 0-2 pi. |
|
759
|
|
|
|
|
|
|
|
|
760
|
|
|
|
|
|
|
* Notes: |
|
761
|
|
|
|
|
|
|
* - Uses eraAnp(). See SOFA/ERFA documentation for details. |
|
762
|
|
|
|
|
|
|
|
|
763
|
|
|
|
|
|
|
*- |
|
764
|
|
|
|
|
|
|
*/ |
|
765
|
|
|
|
|
|
|
|
|
766
|
46
|
|
|
|
|
|
double palDranrm ( double angle ) { |
|
767
|
46
|
|
|
|
|
|
return eraAnp( angle ); |
|
768
|
|
|
|
|
|
|
} |
|
769
|
|
|
|
|
|
|
|
|
770
|
|
|
|
|
|
|
/* |
|
771
|
|
|
|
|
|
|
*+ |
|
772
|
|
|
|
|
|
|
* Name: |
|
773
|
|
|
|
|
|
|
* palDsep |
|
774
|
|
|
|
|
|
|
|
|
775
|
|
|
|
|
|
|
* Purpose: |
|
776
|
|
|
|
|
|
|
* Angle between two points on a sphere |
|
777
|
|
|
|
|
|
|
|
|
778
|
|
|
|
|
|
|
* Language: |
|
779
|
|
|
|
|
|
|
* Starlink ANSI C |
|
780
|
|
|
|
|
|
|
|
|
781
|
|
|
|
|
|
|
* Type of Module: |
|
782
|
|
|
|
|
|
|
* Library routine |
|
783
|
|
|
|
|
|
|
|
|
784
|
|
|
|
|
|
|
* Invocation: |
|
785
|
|
|
|
|
|
|
* ang = palDsep( double a1, double b1, double a2, double b2 ); |
|
786
|
|
|
|
|
|
|
|
|
787
|
|
|
|
|
|
|
* Arguments: |
|
788
|
|
|
|
|
|
|
* a1 = double (Given) |
|
789
|
|
|
|
|
|
|
* Spherical coordinate of one point (radians) |
|
790
|
|
|
|
|
|
|
* b1 = double (Given) |
|
791
|
|
|
|
|
|
|
* Spherical coordinate of one point (radians) |
|
792
|
|
|
|
|
|
|
* a2 = double (Given) |
|
793
|
|
|
|
|
|
|
* Spherical coordinate of other point (radians) |
|
794
|
|
|
|
|
|
|
* b2 = double (Given) |
|
795
|
|
|
|
|
|
|
* Spherical coordinate of other point (radians) |
|
796
|
|
|
|
|
|
|
|
|
797
|
|
|
|
|
|
|
* Returned Value: |
|
798
|
|
|
|
|
|
|
* Angle, in radians, between the two points. Always positive. |
|
799
|
|
|
|
|
|
|
|
|
800
|
|
|
|
|
|
|
* Description: |
|
801
|
|
|
|
|
|
|
* Angle between two points on a sphere. |
|
802
|
|
|
|
|
|
|
|
|
803
|
|
|
|
|
|
|
* Notes: |
|
804
|
|
|
|
|
|
|
* - The spherical coordinates are [RA,Dec], [Long,Lat] etc, in radians. |
|
805
|
|
|
|
|
|
|
* - Uses eraSeps(). See SOFA/ERFA documentation for details. |
|
806
|
|
|
|
|
|
|
|
|
807
|
|
|
|
|
|
|
*- |
|
808
|
|
|
|
|
|
|
*/ |
|
809
|
|
|
|
|
|
|
|
|
810
|
181
|
|
|
|
|
|
double palDsep ( double a1, double b1, double a2, double b2 ) { |
|
811
|
181
|
|
|
|
|
|
return eraSeps( a1, b1, a2, b2 ); |
|
812
|
|
|
|
|
|
|
} |
|
813
|
|
|
|
|
|
|
|
|
814
|
|
|
|
|
|
|
/* |
|
815
|
|
|
|
|
|
|
*+ |
|
816
|
|
|
|
|
|
|
* Name: |
|
817
|
|
|
|
|
|
|
* palDsepv |
|
818
|
|
|
|
|
|
|
|
|
819
|
|
|
|
|
|
|
* Purpose: |
|
820
|
|
|
|
|
|
|
* Angle between two vectors |
|
821
|
|
|
|
|
|
|
|
|
822
|
|
|
|
|
|
|
* Language: |
|
823
|
|
|
|
|
|
|
* Starlink ANSI C |
|
824
|
|
|
|
|
|
|
|
|
825
|
|
|
|
|
|
|
* Type of Module: |
|
826
|
|
|
|
|
|
|
* Library routine |
|
827
|
|
|
|
|
|
|
|
|
828
|
|
|
|
|
|
|
* Invocation: |
|
829
|
|
|
|
|
|
|
* ang = palDsepv( double v1[3], double v2[3] ); |
|
830
|
|
|
|
|
|
|
|
|
831
|
|
|
|
|
|
|
* Arguments: |
|
832
|
|
|
|
|
|
|
* v1 = double [3] (Given) |
|
833
|
|
|
|
|
|
|
* First vector |
|
834
|
|
|
|
|
|
|
* v2 = double [3] (Given) |
|
835
|
|
|
|
|
|
|
* Second vector |
|
836
|
|
|
|
|
|
|
|
|
837
|
|
|
|
|
|
|
* Returned Value: |
|
838
|
|
|
|
|
|
|
* Angle, in radians, between the two points. Always positive. |
|
839
|
|
|
|
|
|
|
|
|
840
|
|
|
|
|
|
|
* Description: |
|
841
|
|
|
|
|
|
|
* Angle between two vectors. |
|
842
|
|
|
|
|
|
|
|
|
843
|
|
|
|
|
|
|
* Notes: |
|
844
|
|
|
|
|
|
|
* - Uses eraSepp(). See SOFA/ERFA documentation for details. |
|
845
|
|
|
|
|
|
|
|
|
846
|
|
|
|
|
|
|
*- |
|
847
|
|
|
|
|
|
|
*/ |
|
848
|
|
|
|
|
|
|
|
|
849
|
0
|
|
|
|
|
|
double palDsepv ( double v1[3], double v2[3] ) { |
|
850
|
0
|
|
|
|
|
|
return eraSepp( v1, v2 ); |
|
851
|
|
|
|
|
|
|
} |
|
852
|
|
|
|
|
|
|
|
|
853
|
|
|
|
|
|
|
/* |
|
854
|
|
|
|
|
|
|
*+ |
|
855
|
|
|
|
|
|
|
* Name: |
|
856
|
|
|
|
|
|
|
* palDtf2d |
|
857
|
|
|
|
|
|
|
|
|
858
|
|
|
|
|
|
|
* Purpose: |
|
859
|
|
|
|
|
|
|
* Convert hours, minutes, seconds to days |
|
860
|
|
|
|
|
|
|
|
|
861
|
|
|
|
|
|
|
* Language: |
|
862
|
|
|
|
|
|
|
* Starlink ANSI C |
|
863
|
|
|
|
|
|
|
|
|
864
|
|
|
|
|
|
|
* Type of Module: |
|
865
|
|
|
|
|
|
|
* Library routine |
|
866
|
|
|
|
|
|
|
|
|
867
|
|
|
|
|
|
|
* Invocation: |
|
868
|
|
|
|
|
|
|
* palDtf2d( int ihour, int imin, double sec, double *days, int *j ); |
|
869
|
|
|
|
|
|
|
|
|
870
|
|
|
|
|
|
|
* Arguments: |
|
871
|
|
|
|
|
|
|
* ihour = int (Given) |
|
872
|
|
|
|
|
|
|
* Hours |
|
873
|
|
|
|
|
|
|
* imin = int (Given) |
|
874
|
|
|
|
|
|
|
* Minutes |
|
875
|
|
|
|
|
|
|
* sec = double (Given) |
|
876
|
|
|
|
|
|
|
* Seconds |
|
877
|
|
|
|
|
|
|
* days = double * (Returned) |
|
878
|
|
|
|
|
|
|
* Interval in days |
|
879
|
|
|
|
|
|
|
* j = int * (Returned) |
|
880
|
|
|
|
|
|
|
* status: 0 = ok, 1 = ihour outside range 0-23, |
|
881
|
|
|
|
|
|
|
* 2 = imin outside range 0-59, 3 = sec outside range 0-59.999... |
|
882
|
|
|
|
|
|
|
|
|
883
|
|
|
|
|
|
|
* Description: |
|
884
|
|
|
|
|
|
|
* Convert hours, minutes, seconds to days. |
|
885
|
|
|
|
|
|
|
|
|
886
|
|
|
|
|
|
|
* Notes: |
|
887
|
|
|
|
|
|
|
* - Uses eraTf2d(). See SOFA/ERFA documentation for details. |
|
888
|
|
|
|
|
|
|
|
|
889
|
|
|
|
|
|
|
*- |
|
890
|
|
|
|
|
|
|
*/ |
|
891
|
|
|
|
|
|
|
|
|
892
|
|
|
|
|
|
|
/* Assumes that the sign is always positive and is dealt with externally */ |
|
893
|
183
|
|
|
|
|
|
void palDtf2d ( int ihour, int imin, double sec, double *days, int *j ) { |
|
894
|
183
|
|
|
|
|
|
*j = eraTf2d( ' ', ihour, imin, sec, days ); |
|
895
|
183
|
|
|
|
|
|
} |
|
896
|
|
|
|
|
|
|
|
|
897
|
|
|
|
|
|
|
/* |
|
898
|
|
|
|
|
|
|
*+ |
|
899
|
|
|
|
|
|
|
* Name: |
|
900
|
|
|
|
|
|
|
* palDtf2r |
|
901
|
|
|
|
|
|
|
|
|
902
|
|
|
|
|
|
|
* Purpose: |
|
903
|
|
|
|
|
|
|
* Convert hours, minutes, seconds to radians |
|
904
|
|
|
|
|
|
|
|
|
905
|
|
|
|
|
|
|
* Language: |
|
906
|
|
|
|
|
|
|
* Starlink ANSI C |
|
907
|
|
|
|
|
|
|
|
|
908
|
|
|
|
|
|
|
* Type of Module: |
|
909
|
|
|
|
|
|
|
* Library routine |
|
910
|
|
|
|
|
|
|
|
|
911
|
|
|
|
|
|
|
* Invocation: |
|
912
|
|
|
|
|
|
|
* palDtf2r( int ihour, int imin, double sec, double *rad, int *j ); |
|
913
|
|
|
|
|
|
|
|
|
914
|
|
|
|
|
|
|
* Arguments: |
|
915
|
|
|
|
|
|
|
* ihour = int (Given) |
|
916
|
|
|
|
|
|
|
* Hours |
|
917
|
|
|
|
|
|
|
* imin = int (Given) |
|
918
|
|
|
|
|
|
|
* Minutes |
|
919
|
|
|
|
|
|
|
* sec = double (Given) |
|
920
|
|
|
|
|
|
|
* Seconds |
|
921
|
|
|
|
|
|
|
* days = double * (Returned) |
|
922
|
|
|
|
|
|
|
* Angle in radians |
|
923
|
|
|
|
|
|
|
* j = int * (Returned) |
|
924
|
|
|
|
|
|
|
* status: 0 = ok, 1 = ihour outside range 0-23, |
|
925
|
|
|
|
|
|
|
* 2 = imin outside range 0-59, 3 = sec outside range 0-59.999... |
|
926
|
|
|
|
|
|
|
|
|
927
|
|
|
|
|
|
|
* Description: |
|
928
|
|
|
|
|
|
|
* Convert hours, minutes, seconds to radians. |
|
929
|
|
|
|
|
|
|
|
|
930
|
|
|
|
|
|
|
* Notes: |
|
931
|
|
|
|
|
|
|
* - Uses eraTf2a(). See SOFA/ERFA documentation for details. |
|
932
|
|
|
|
|
|
|
|
|
933
|
|
|
|
|
|
|
*- |
|
934
|
|
|
|
|
|
|
*/ |
|
935
|
|
|
|
|
|
|
|
|
936
|
|
|
|
|
|
|
/* Assumes that the sign is dealt with outside this routine */ |
|
937
|
5
|
|
|
|
|
|
void palDtf2r ( int ihour, int imin, double sec, double *rad, int *j ) { |
|
938
|
5
|
|
|
|
|
|
*j = eraTf2a( ' ', ihour, imin, sec, rad ); |
|
939
|
5
|
|
|
|
|
|
} |
|
940
|
|
|
|
|
|
|
|
|
941
|
|
|
|
|
|
|
/* |
|
942
|
|
|
|
|
|
|
*+ |
|
943
|
|
|
|
|
|
|
* Name: |
|
944
|
|
|
|
|
|
|
* palDvdv |
|
945
|
|
|
|
|
|
|
|
|
946
|
|
|
|
|
|
|
* Purpose: |
|
947
|
|
|
|
|
|
|
* Scalar product of two 3-vectors |
|
948
|
|
|
|
|
|
|
|
|
949
|
|
|
|
|
|
|
* Language: |
|
950
|
|
|
|
|
|
|
* Starlink ANSI C |
|
951
|
|
|
|
|
|
|
|
|
952
|
|
|
|
|
|
|
* Type of Module: |
|
953
|
|
|
|
|
|
|
* Library routine |
|
954
|
|
|
|
|
|
|
|
|
955
|
|
|
|
|
|
|
* Invocation: |
|
956
|
|
|
|
|
|
|
* prod = palDvdv ( double va[3], double vb[3] ); |
|
957
|
|
|
|
|
|
|
|
|
958
|
|
|
|
|
|
|
* Arguments: |
|
959
|
|
|
|
|
|
|
* va = double [3] (Given) |
|
960
|
|
|
|
|
|
|
* First vector |
|
961
|
|
|
|
|
|
|
* vb = double [3] (Given) |
|
962
|
|
|
|
|
|
|
* Second vector |
|
963
|
|
|
|
|
|
|
|
|
964
|
|
|
|
|
|
|
* Returned Value: |
|
965
|
|
|
|
|
|
|
* Scalar product va.vb |
|
966
|
|
|
|
|
|
|
|
|
967
|
|
|
|
|
|
|
* Description: |
|
968
|
|
|
|
|
|
|
* Scalar product of two 3-vectors. |
|
969
|
|
|
|
|
|
|
|
|
970
|
|
|
|
|
|
|
* Notes: |
|
971
|
|
|
|
|
|
|
* - Uses eraPdp(). See SOFA/ERFA documentation for details. |
|
972
|
|
|
|
|
|
|
|
|
973
|
|
|
|
|
|
|
*- |
|
974
|
|
|
|
|
|
|
*/ |
|
975
|
|
|
|
|
|
|
|
|
976
|
0
|
|
|
|
|
|
double palDvdv ( double va[3], double vb[3] ) { |
|
977
|
0
|
|
|
|
|
|
return eraPdp( va, vb ); |
|
978
|
|
|
|
|
|
|
} |
|
979
|
|
|
|
|
|
|
|
|
980
|
|
|
|
|
|
|
/* |
|
981
|
|
|
|
|
|
|
*+ |
|
982
|
|
|
|
|
|
|
* Name: |
|
983
|
|
|
|
|
|
|
* palDvn |
|
984
|
|
|
|
|
|
|
|
|
985
|
|
|
|
|
|
|
* Purpose: |
|
986
|
|
|
|
|
|
|
* Normalizes a 3-vector also giving the modulus |
|
987
|
|
|
|
|
|
|
|
|
988
|
|
|
|
|
|
|
* Language: |
|
989
|
|
|
|
|
|
|
* Starlink ANSI C |
|
990
|
|
|
|
|
|
|
|
|
991
|
|
|
|
|
|
|
* Type of Module: |
|
992
|
|
|
|
|
|
|
* Library routine |
|
993
|
|
|
|
|
|
|
|
|
994
|
|
|
|
|
|
|
* Invocation: |
|
995
|
|
|
|
|
|
|
* palDvn( double v[3], double uv[3], double *vm ); |
|
996
|
|
|
|
|
|
|
|
|
997
|
|
|
|
|
|
|
* Arguments: |
|
998
|
|
|
|
|
|
|
* v = double [3] (Given) |
|
999
|
|
|
|
|
|
|
* vector |
|
1000
|
|
|
|
|
|
|
* uv = double [3] (Returned) |
|
1001
|
|
|
|
|
|
|
* unit vector in direction of "v" |
|
1002
|
|
|
|
|
|
|
* vm = double * (Returned) |
|
1003
|
|
|
|
|
|
|
* modulus of "v" |
|
1004
|
|
|
|
|
|
|
|
|
1005
|
|
|
|
|
|
|
* Description: |
|
1006
|
|
|
|
|
|
|
* Normalizes a 3-vector also giving the modulus. |
|
1007
|
|
|
|
|
|
|
|
|
1008
|
|
|
|
|
|
|
* Notes: |
|
1009
|
|
|
|
|
|
|
* - Uses eraPn(). See SOFA/ERFA documentation for details. |
|
1010
|
|
|
|
|
|
|
|
|
1011
|
|
|
|
|
|
|
*- |
|
1012
|
|
|
|
|
|
|
*/ |
|
1013
|
|
|
|
|
|
|
|
|
1014
|
|
|
|
|
|
|
/* Note that the arguments are flipped */ |
|
1015
|
0
|
|
|
|
|
|
void palDvn ( double v[3], double uv[3], double *vm ) { |
|
1016
|
0
|
|
|
|
|
|
eraPn( v, vm, uv ); |
|
1017
|
0
|
|
|
|
|
|
} |
|
1018
|
|
|
|
|
|
|
|
|
1019
|
|
|
|
|
|
|
/* |
|
1020
|
|
|
|
|
|
|
*+ |
|
1021
|
|
|
|
|
|
|
* Name: |
|
1022
|
|
|
|
|
|
|
* palDvxv |
|
1023
|
|
|
|
|
|
|
|
|
1024
|
|
|
|
|
|
|
* Purpose: |
|
1025
|
|
|
|
|
|
|
* Vector product of two 3-vectors |
|
1026
|
|
|
|
|
|
|
|
|
1027
|
|
|
|
|
|
|
* Language: |
|
1028
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1029
|
|
|
|
|
|
|
|
|
1030
|
|
|
|
|
|
|
* Type of Module: |
|
1031
|
|
|
|
|
|
|
* Library routine |
|
1032
|
|
|
|
|
|
|
|
|
1033
|
|
|
|
|
|
|
* Invocation: |
|
1034
|
|
|
|
|
|
|
* palDvxv( double va[3], double vb[3], double vc[3] ); |
|
1035
|
|
|
|
|
|
|
|
|
1036
|
|
|
|
|
|
|
* Arguments: |
|
1037
|
|
|
|
|
|
|
* va = double [3] (Given) |
|
1038
|
|
|
|
|
|
|
* First vector |
|
1039
|
|
|
|
|
|
|
* vb = double [3] (Given) |
|
1040
|
|
|
|
|
|
|
* Second vector |
|
1041
|
|
|
|
|
|
|
* vc = double [3] (Returned) |
|
1042
|
|
|
|
|
|
|
* Result vector |
|
1043
|
|
|
|
|
|
|
|
|
1044
|
|
|
|
|
|
|
* Description: |
|
1045
|
|
|
|
|
|
|
* Vector product of two 3-vectors. |
|
1046
|
|
|
|
|
|
|
|
|
1047
|
|
|
|
|
|
|
* Notes: |
|
1048
|
|
|
|
|
|
|
* - Uses eraPxp(). See SOFA/ERFA documentation for details. |
|
1049
|
|
|
|
|
|
|
|
|
1050
|
|
|
|
|
|
|
*- |
|
1051
|
|
|
|
|
|
|
*/ |
|
1052
|
|
|
|
|
|
|
|
|
1053
|
0
|
|
|
|
|
|
void palDvxv ( double va[3], double vb[3], double vc[3] ) { |
|
1054
|
0
|
|
|
|
|
|
eraPxp( va, vb, vc ); |
|
1055
|
0
|
|
|
|
|
|
} |
|
1056
|
|
|
|
|
|
|
|
|
1057
|
|
|
|
|
|
|
/* |
|
1058
|
|
|
|
|
|
|
*+ |
|
1059
|
|
|
|
|
|
|
* Name: |
|
1060
|
|
|
|
|
|
|
* palEpb |
|
1061
|
|
|
|
|
|
|
|
|
1062
|
|
|
|
|
|
|
* Purpose: |
|
1063
|
|
|
|
|
|
|
* Conversion of modified Julian Data to Besselian Epoch |
|
1064
|
|
|
|
|
|
|
|
|
1065
|
|
|
|
|
|
|
* Language: |
|
1066
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1067
|
|
|
|
|
|
|
|
|
1068
|
|
|
|
|
|
|
* Type of Module: |
|
1069
|
|
|
|
|
|
|
* Library routine |
|
1070
|
|
|
|
|
|
|
|
|
1071
|
|
|
|
|
|
|
* Invocation: |
|
1072
|
|
|
|
|
|
|
* epb = palEpb ( double date ); |
|
1073
|
|
|
|
|
|
|
|
|
1074
|
|
|
|
|
|
|
* Arguments: |
|
1075
|
|
|
|
|
|
|
* date = double (Given) |
|
1076
|
|
|
|
|
|
|
* Modified Julian Date (JD - 2400000.5) |
|
1077
|
|
|
|
|
|
|
|
|
1078
|
|
|
|
|
|
|
* Returned Value: |
|
1079
|
|
|
|
|
|
|
* Besselian epoch. |
|
1080
|
|
|
|
|
|
|
|
|
1081
|
|
|
|
|
|
|
* Description: |
|
1082
|
|
|
|
|
|
|
* Conversion of modified Julian Data to Besselian Epoch. |
|
1083
|
|
|
|
|
|
|
|
|
1084
|
|
|
|
|
|
|
* Notes: |
|
1085
|
|
|
|
|
|
|
* - Uses eraEpb(). See SOFA/ERFA documentation for details. |
|
1086
|
|
|
|
|
|
|
|
|
1087
|
|
|
|
|
|
|
*- |
|
1088
|
|
|
|
|
|
|
*/ |
|
1089
|
|
|
|
|
|
|
|
|
1090
|
|
|
|
|
|
|
/* Requires additional SLA MJD reference date */ |
|
1091
|
1
|
|
|
|
|
|
double palEpb ( double date ) { |
|
1092
|
1
|
|
|
|
|
|
return eraEpb( PAL__MJD0, date ); |
|
1093
|
|
|
|
|
|
|
} |
|
1094
|
|
|
|
|
|
|
|
|
1095
|
|
|
|
|
|
|
/* |
|
1096
|
|
|
|
|
|
|
*+ |
|
1097
|
|
|
|
|
|
|
* Name: |
|
1098
|
|
|
|
|
|
|
* palEpb2d |
|
1099
|
|
|
|
|
|
|
|
|
1100
|
|
|
|
|
|
|
* Purpose: |
|
1101
|
|
|
|
|
|
|
* Conversion of Besselian Epoch to Modified Julian Date |
|
1102
|
|
|
|
|
|
|
|
|
1103
|
|
|
|
|
|
|
* Language: |
|
1104
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1105
|
|
|
|
|
|
|
|
|
1106
|
|
|
|
|
|
|
* Type of Module: |
|
1107
|
|
|
|
|
|
|
* Library routine |
|
1108
|
|
|
|
|
|
|
|
|
1109
|
|
|
|
|
|
|
* Invocation: |
|
1110
|
|
|
|
|
|
|
* mjd = palEpb2d ( double epb ); |
|
1111
|
|
|
|
|
|
|
|
|
1112
|
|
|
|
|
|
|
* Arguments: |
|
1113
|
|
|
|
|
|
|
* epb = double (Given) |
|
1114
|
|
|
|
|
|
|
* Besselian Epoch |
|
1115
|
|
|
|
|
|
|
|
|
1116
|
|
|
|
|
|
|
* Returned Value: |
|
1117
|
|
|
|
|
|
|
* Modified Julian Date (JD - 2400000.5) |
|
1118
|
|
|
|
|
|
|
|
|
1119
|
|
|
|
|
|
|
* Description: |
|
1120
|
|
|
|
|
|
|
* Conversion of Besselian Epoch to Modified Julian Date. |
|
1121
|
|
|
|
|
|
|
|
|
1122
|
|
|
|
|
|
|
* Notes: |
|
1123
|
|
|
|
|
|
|
* - Uses eraEpb2jd(). See SOFA/ERFA documentation for details. |
|
1124
|
|
|
|
|
|
|
|
|
1125
|
|
|
|
|
|
|
*- |
|
1126
|
|
|
|
|
|
|
*/ |
|
1127
|
|
|
|
|
|
|
|
|
1128
|
|
|
|
|
|
|
|
|
1129
|
5
|
|
|
|
|
|
double palEpb2d ( double epb ) { |
|
1130
|
|
|
|
|
|
|
double djm0, djm; |
|
1131
|
5
|
|
|
|
|
|
eraEpb2jd( epb, &djm0, &djm ); |
|
1132
|
5
|
|
|
|
|
|
return djm; |
|
1133
|
|
|
|
|
|
|
} |
|
1134
|
|
|
|
|
|
|
|
|
1135
|
|
|
|
|
|
|
/* |
|
1136
|
|
|
|
|
|
|
*+ |
|
1137
|
|
|
|
|
|
|
* Name: |
|
1138
|
|
|
|
|
|
|
* palEpj |
|
1139
|
|
|
|
|
|
|
|
|
1140
|
|
|
|
|
|
|
* Purpose: |
|
1141
|
|
|
|
|
|
|
* Conversion of Modified Julian Date to Julian Epoch |
|
1142
|
|
|
|
|
|
|
|
|
1143
|
|
|
|
|
|
|
* Language: |
|
1144
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1145
|
|
|
|
|
|
|
|
|
1146
|
|
|
|
|
|
|
* Type of Module: |
|
1147
|
|
|
|
|
|
|
* Library routine |
|
1148
|
|
|
|
|
|
|
|
|
1149
|
|
|
|
|
|
|
* Invocation: |
|
1150
|
|
|
|
|
|
|
* epj = palEpj ( double date ); |
|
1151
|
|
|
|
|
|
|
|
|
1152
|
|
|
|
|
|
|
* Arguments: |
|
1153
|
|
|
|
|
|
|
* date = double (Given) |
|
1154
|
|
|
|
|
|
|
* Modified Julian Date (JD - 2400000.5) |
|
1155
|
|
|
|
|
|
|
|
|
1156
|
|
|
|
|
|
|
* Returned Value: |
|
1157
|
|
|
|
|
|
|
* The Julian Epoch. |
|
1158
|
|
|
|
|
|
|
|
|
1159
|
|
|
|
|
|
|
* Description: |
|
1160
|
|
|
|
|
|
|
* Conversion of Modified Julian Date to Julian Epoch. |
|
1161
|
|
|
|
|
|
|
|
|
1162
|
|
|
|
|
|
|
* Notes: |
|
1163
|
|
|
|
|
|
|
* - Uses eraEpj(). See SOFA/ERFA documentation for details. |
|
1164
|
|
|
|
|
|
|
|
|
1165
|
|
|
|
|
|
|
*- |
|
1166
|
|
|
|
|
|
|
*/ |
|
1167
|
|
|
|
|
|
|
|
|
1168
|
|
|
|
|
|
|
/* Requires additional SLA MJD reference date */ |
|
1169
|
196
|
|
|
|
|
|
double palEpj ( double date ) { |
|
1170
|
196
|
|
|
|
|
|
return eraEpj( PAL__MJD0, date ); |
|
1171
|
|
|
|
|
|
|
} |
|
1172
|
|
|
|
|
|
|
|
|
1173
|
|
|
|
|
|
|
/* |
|
1174
|
|
|
|
|
|
|
*+ |
|
1175
|
|
|
|
|
|
|
* Name: |
|
1176
|
|
|
|
|
|
|
* palEpj2d |
|
1177
|
|
|
|
|
|
|
|
|
1178
|
|
|
|
|
|
|
* Purpose: |
|
1179
|
|
|
|
|
|
|
* Conversion of Julian Epoch to Modified Julian Date |
|
1180
|
|
|
|
|
|
|
|
|
1181
|
|
|
|
|
|
|
* Language: |
|
1182
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1183
|
|
|
|
|
|
|
|
|
1184
|
|
|
|
|
|
|
* Type of Module: |
|
1185
|
|
|
|
|
|
|
* Library routine |
|
1186
|
|
|
|
|
|
|
|
|
1187
|
|
|
|
|
|
|
* Invocation: |
|
1188
|
|
|
|
|
|
|
* mjd = palEpj2d ( double epj ); |
|
1189
|
|
|
|
|
|
|
|
|
1190
|
|
|
|
|
|
|
* Arguments: |
|
1191
|
|
|
|
|
|
|
* epj = double (Given) |
|
1192
|
|
|
|
|
|
|
* Julian Epoch. |
|
1193
|
|
|
|
|
|
|
|
|
1194
|
|
|
|
|
|
|
* Returned Value: |
|
1195
|
|
|
|
|
|
|
* Modified Julian Date (JD - 2400000.5) |
|
1196
|
|
|
|
|
|
|
|
|
1197
|
|
|
|
|
|
|
* Description: |
|
1198
|
|
|
|
|
|
|
* Conversion of Julian Epoch to Modified Julian Date. |
|
1199
|
|
|
|
|
|
|
|
|
1200
|
|
|
|
|
|
|
* Notes: |
|
1201
|
|
|
|
|
|
|
* - Uses eraEpj2d(). See SOFA/ERFA documentation for details. |
|
1202
|
|
|
|
|
|
|
|
|
1203
|
|
|
|
|
|
|
*- |
|
1204
|
|
|
|
|
|
|
*/ |
|
1205
|
2
|
|
|
|
|
|
double palEpj2d ( double epj ) { |
|
1206
|
|
|
|
|
|
|
double djm0, djm; |
|
1207
|
2
|
|
|
|
|
|
eraEpj2jd( epj, &djm0, &djm ); |
|
1208
|
2
|
|
|
|
|
|
return djm; |
|
1209
|
|
|
|
|
|
|
} |
|
1210
|
|
|
|
|
|
|
|
|
1211
|
|
|
|
|
|
|
/* |
|
1212
|
|
|
|
|
|
|
*+ |
|
1213
|
|
|
|
|
|
|
* Name: |
|
1214
|
|
|
|
|
|
|
* palEqeqx |
|
1215
|
|
|
|
|
|
|
|
|
1216
|
|
|
|
|
|
|
* Purpose: |
|
1217
|
|
|
|
|
|
|
* Equation of the equinoxes (IAU 2000/2006) |
|
1218
|
|
|
|
|
|
|
|
|
1219
|
|
|
|
|
|
|
* Language: |
|
1220
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1221
|
|
|
|
|
|
|
|
|
1222
|
|
|
|
|
|
|
* Type of Module: |
|
1223
|
|
|
|
|
|
|
* Library routine |
|
1224
|
|
|
|
|
|
|
|
|
1225
|
|
|
|
|
|
|
* Invocation: |
|
1226
|
|
|
|
|
|
|
* palEqeqx( double date ); |
|
1227
|
|
|
|
|
|
|
|
|
1228
|
|
|
|
|
|
|
* Arguments: |
|
1229
|
|
|
|
|
|
|
* date = double (Given) |
|
1230
|
|
|
|
|
|
|
* TT as Modified Julian Date (JD-400000.5) |
|
1231
|
|
|
|
|
|
|
|
|
1232
|
|
|
|
|
|
|
* Description: |
|
1233
|
|
|
|
|
|
|
* Equation of the equinoxes (IAU 2000/2006). |
|
1234
|
|
|
|
|
|
|
|
|
1235
|
|
|
|
|
|
|
* Notes: |
|
1236
|
|
|
|
|
|
|
* - Uses eraEe06a(). See SOFA/ERFA documentation for details. |
|
1237
|
|
|
|
|
|
|
|
|
1238
|
|
|
|
|
|
|
*- |
|
1239
|
|
|
|
|
|
|
*/ |
|
1240
|
|
|
|
|
|
|
|
|
1241
|
|
|
|
|
|
|
/* Requires additional SLA MJD reference date */ |
|
1242
|
3
|
|
|
|
|
|
double palEqeqx ( double date ) { |
|
1243
|
3
|
|
|
|
|
|
return eraEe06a( PAL__MJD0, date ); |
|
1244
|
|
|
|
|
|
|
} |
|
1245
|
|
|
|
|
|
|
|
|
1246
|
|
|
|
|
|
|
/* |
|
1247
|
|
|
|
|
|
|
*+ |
|
1248
|
|
|
|
|
|
|
* Name: |
|
1249
|
|
|
|
|
|
|
* palFk5hz |
|
1250
|
|
|
|
|
|
|
|
|
1251
|
|
|
|
|
|
|
* Purpose: |
|
1252
|
|
|
|
|
|
|
* Transform an FK5 (J2000) star position into the frame of the |
|
1253
|
|
|
|
|
|
|
* Hipparcos catalogue. |
|
1254
|
|
|
|
|
|
|
|
|
1255
|
|
|
|
|
|
|
* Language: |
|
1256
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1257
|
|
|
|
|
|
|
|
|
1258
|
|
|
|
|
|
|
* Type of Module: |
|
1259
|
|
|
|
|
|
|
* Library routine |
|
1260
|
|
|
|
|
|
|
|
|
1261
|
|
|
|
|
|
|
* Invocation: |
|
1262
|
|
|
|
|
|
|
* palFk5hz ( double r5, double d5, double epoch, |
|
1263
|
|
|
|
|
|
|
* double *rh, double *dh ); |
|
1264
|
|
|
|
|
|
|
|
|
1265
|
|
|
|
|
|
|
* Arguments: |
|
1266
|
|
|
|
|
|
|
* r5 = double (Given) |
|
1267
|
|
|
|
|
|
|
* FK5 RA (radians), equinox J2000, epoch "epoch" |
|
1268
|
|
|
|
|
|
|
* d5 = double (Given) |
|
1269
|
|
|
|
|
|
|
* FK5 dec (radians), equinox J2000, epoch "epoch" |
|
1270
|
|
|
|
|
|
|
* epoch = double (Given) |
|
1271
|
|
|
|
|
|
|
* Julian epoch |
|
1272
|
|
|
|
|
|
|
* rh = double * (Returned) |
|
1273
|
|
|
|
|
|
|
* RA (radians) |
|
1274
|
|
|
|
|
|
|
* dh = double * (Returned) |
|
1275
|
|
|
|
|
|
|
* Dec (radians) |
|
1276
|
|
|
|
|
|
|
|
|
1277
|
|
|
|
|
|
|
* Description: |
|
1278
|
|
|
|
|
|
|
* Transform an FK5 (J2000) star position into the frame of the |
|
1279
|
|
|
|
|
|
|
* Hipparcos catalogue. |
|
1280
|
|
|
|
|
|
|
|
|
1281
|
|
|
|
|
|
|
* Notes: |
|
1282
|
|
|
|
|
|
|
* - Assumes zero Hipparcos proper motion. |
|
1283
|
|
|
|
|
|
|
* - Uses eraEpj2jd() and eraFk5hz. |
|
1284
|
|
|
|
|
|
|
* See SOFA/ERFA documentation for details. |
|
1285
|
|
|
|
|
|
|
|
|
1286
|
|
|
|
|
|
|
*- |
|
1287
|
|
|
|
|
|
|
*/ |
|
1288
|
|
|
|
|
|
|
|
|
1289
|
0
|
|
|
|
|
|
void palFk5hz ( double r5, double d5, double epoch, |
|
1290
|
|
|
|
|
|
|
double *rh, double *dh ) { |
|
1291
|
|
|
|
|
|
|
/* Need to convert epoch to Julian date first */ |
|
1292
|
|
|
|
|
|
|
double date1, date2; |
|
1293
|
0
|
|
|
|
|
|
eraEpj2jd( epoch, &date1, &date2 ); |
|
1294
|
0
|
|
|
|
|
|
eraFk5hz( r5, d5, date1, date2, rh, dh ); |
|
1295
|
0
|
|
|
|
|
|
} |
|
1296
|
|
|
|
|
|
|
|
|
1297
|
|
|
|
|
|
|
/* |
|
1298
|
|
|
|
|
|
|
*+ |
|
1299
|
|
|
|
|
|
|
* Name: |
|
1300
|
|
|
|
|
|
|
* palGmst |
|
1301
|
|
|
|
|
|
|
|
|
1302
|
|
|
|
|
|
|
* Purpose: |
|
1303
|
|
|
|
|
|
|
* Greenwich mean sidereal time (consistent with IAU 2006 precession). |
|
1304
|
|
|
|
|
|
|
|
|
1305
|
|
|
|
|
|
|
* Language: |
|
1306
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1307
|
|
|
|
|
|
|
|
|
1308
|
|
|
|
|
|
|
* Type of Module: |
|
1309
|
|
|
|
|
|
|
* Library routine |
|
1310
|
|
|
|
|
|
|
|
|
1311
|
|
|
|
|
|
|
* Invocation: |
|
1312
|
|
|
|
|
|
|
* mst = palGmst ( double ut1 ); |
|
1313
|
|
|
|
|
|
|
|
|
1314
|
|
|
|
|
|
|
* Arguments: |
|
1315
|
|
|
|
|
|
|
* ut1 = double (Given) |
|
1316
|
|
|
|
|
|
|
* Universal time (UT1) expressed as modified Julian Date (JD-2400000.5) |
|
1317
|
|
|
|
|
|
|
|
|
1318
|
|
|
|
|
|
|
* Returned Value: |
|
1319
|
|
|
|
|
|
|
* Greenwich mean sidereal time |
|
1320
|
|
|
|
|
|
|
|
|
1321
|
|
|
|
|
|
|
* Description: |
|
1322
|
|
|
|
|
|
|
* Greenwich mean sidereal time (consistent with IAU 2006 precession). |
|
1323
|
|
|
|
|
|
|
|
|
1324
|
|
|
|
|
|
|
* Notes: |
|
1325
|
|
|
|
|
|
|
* - Uses eraGmst06(). See SOFA/ERFA documentation for details. |
|
1326
|
|
|
|
|
|
|
|
|
1327
|
|
|
|
|
|
|
*- |
|
1328
|
|
|
|
|
|
|
*/ |
|
1329
|
|
|
|
|
|
|
|
|
1330
|
|
|
|
|
|
|
/* Note that SOFA/ERFA has more accurate time arguments |
|
1331
|
|
|
|
|
|
|
and we use the 2006 precession model */ |
|
1332
|
11
|
|
|
|
|
|
double palGmst ( double ut1 ) { |
|
1333
|
11
|
|
|
|
|
|
return eraGmst06( PAL__MJD0, ut1, PAL__MJD0, ut1 ); |
|
1334
|
|
|
|
|
|
|
} |
|
1335
|
|
|
|
|
|
|
|
|
1336
|
|
|
|
|
|
|
/* |
|
1337
|
|
|
|
|
|
|
*+ |
|
1338
|
|
|
|
|
|
|
* Name: |
|
1339
|
|
|
|
|
|
|
* palGmsta |
|
1340
|
|
|
|
|
|
|
|
|
1341
|
|
|
|
|
|
|
* Purpose: |
|
1342
|
|
|
|
|
|
|
* Greenwich mean sidereal time (consistent with IAU 2006 precession). |
|
1343
|
|
|
|
|
|
|
|
|
1344
|
|
|
|
|
|
|
* Language: |
|
1345
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1346
|
|
|
|
|
|
|
|
|
1347
|
|
|
|
|
|
|
* Type of Module: |
|
1348
|
|
|
|
|
|
|
* Library routine |
|
1349
|
|
|
|
|
|
|
|
|
1350
|
|
|
|
|
|
|
* Invocation: |
|
1351
|
|
|
|
|
|
|
* mst = palGmsta ( double date, double ut1 ); |
|
1352
|
|
|
|
|
|
|
|
|
1353
|
|
|
|
|
|
|
* Arguments: |
|
1354
|
|
|
|
|
|
|
* date = double (Given) |
|
1355
|
|
|
|
|
|
|
* UT1 date (MJD: integer part of JD-2400000.5) |
|
1356
|
|
|
|
|
|
|
* ut1 = double (Given) |
|
1357
|
|
|
|
|
|
|
* UT1 time (fraction of a day) |
|
1358
|
|
|
|
|
|
|
|
|
1359
|
|
|
|
|
|
|
* Returned Value: |
|
1360
|
|
|
|
|
|
|
* Greenwich mean sidereal time (in range 0 to 2 pi) |
|
1361
|
|
|
|
|
|
|
|
|
1362
|
|
|
|
|
|
|
* Description: |
|
1363
|
|
|
|
|
|
|
* Greenwich mean sidereal time (consistent with IAU 2006 precession). |
|
1364
|
|
|
|
|
|
|
|
|
1365
|
|
|
|
|
|
|
* Notes: |
|
1366
|
|
|
|
|
|
|
* - For best accuracy use eraGmst06() directly. |
|
1367
|
|
|
|
|
|
|
* - Uses eraGmst06(). See SOFA/ERFA documentation for details. |
|
1368
|
|
|
|
|
|
|
|
|
1369
|
|
|
|
|
|
|
*- |
|
1370
|
|
|
|
|
|
|
*/ |
|
1371
|
|
|
|
|
|
|
|
|
1372
|
|
|
|
|
|
|
/* Slightly better but still not as accurate as SOFA/ERFA */ |
|
1373
|
|
|
|
|
|
|
|
|
1374
|
2
|
|
|
|
|
|
double palGmsta( double date, double ut ) { |
|
1375
|
2
|
|
|
|
|
|
date += PAL__MJD0; |
|
1376
|
2
|
|
|
|
|
|
return eraGmst06( date, ut, date, ut ); |
|
1377
|
|
|
|
|
|
|
} |
|
1378
|
|
|
|
|
|
|
|
|
1379
|
|
|
|
|
|
|
/* |
|
1380
|
|
|
|
|
|
|
*+ |
|
1381
|
|
|
|
|
|
|
* Name: |
|
1382
|
|
|
|
|
|
|
* palHfk5z |
|
1383
|
|
|
|
|
|
|
|
|
1384
|
|
|
|
|
|
|
* Purpose: |
|
1385
|
|
|
|
|
|
|
* Hipparcos star position to FK5 J2000 |
|
1386
|
|
|
|
|
|
|
|
|
1387
|
|
|
|
|
|
|
* Language: |
|
1388
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1389
|
|
|
|
|
|
|
|
|
1390
|
|
|
|
|
|
|
* Type of Module: |
|
1391
|
|
|
|
|
|
|
* Library routine |
|
1392
|
|
|
|
|
|
|
|
|
1393
|
|
|
|
|
|
|
* Invocation: |
|
1394
|
|
|
|
|
|
|
* palHfk5z( double rh, double dh, double epoch, |
|
1395
|
|
|
|
|
|
|
* double *r5, double *d5, double *dr5, double *dd5 ); |
|
1396
|
|
|
|
|
|
|
|
|
1397
|
|
|
|
|
|
|
* Arguments: |
|
1398
|
|
|
|
|
|
|
* rh = double (Given) |
|
1399
|
|
|
|
|
|
|
* Hipparcos RA (radians) |
|
1400
|
|
|
|
|
|
|
* dh = double (Given) |
|
1401
|
|
|
|
|
|
|
* Hipparcos Dec (radians) |
|
1402
|
|
|
|
|
|
|
* epoch = double (Given) |
|
1403
|
|
|
|
|
|
|
* Julian epoch (TDB) |
|
1404
|
|
|
|
|
|
|
* r5 = double * (Returned) |
|
1405
|
|
|
|
|
|
|
* RA (radians, FK5, equinox J2000, epoch "epoch") |
|
1406
|
|
|
|
|
|
|
* d5 = double * (Returned) |
|
1407
|
|
|
|
|
|
|
* Dec (radians, FK5, equinox J2000, epoch "epoch") |
|
1408
|
|
|
|
|
|
|
|
|
1409
|
|
|
|
|
|
|
* Description: |
|
1410
|
|
|
|
|
|
|
* Transform a Hipparcos star position into FK5 J2000, assuming |
|
1411
|
|
|
|
|
|
|
* zero Hipparcos proper motion. |
|
1412
|
|
|
|
|
|
|
|
|
1413
|
|
|
|
|
|
|
* Notes: |
|
1414
|
|
|
|
|
|
|
* - Uses eraEpj2jd and eraHfk5z(). See SOFA/ERFA documentation for details. |
|
1415
|
|
|
|
|
|
|
|
|
1416
|
|
|
|
|
|
|
*- |
|
1417
|
|
|
|
|
|
|
*/ |
|
1418
|
|
|
|
|
|
|
|
|
1419
|
0
|
|
|
|
|
|
void palHfk5z ( double rh, double dh, double epoch, |
|
1420
|
|
|
|
|
|
|
double *r5, double *d5, double *dr5, double *dd5 ) { |
|
1421
|
|
|
|
|
|
|
/* Need to convert epoch to Julian date first */ |
|
1422
|
|
|
|
|
|
|
double date1, date2; |
|
1423
|
0
|
|
|
|
|
|
eraEpj2jd( epoch, &date1, &date2 ); |
|
1424
|
0
|
|
|
|
|
|
eraHfk5z( rh, dh, date1, date2, r5, d5, dr5, dd5 ); |
|
1425
|
0
|
|
|
|
|
|
} |
|
1426
|
|
|
|
|
|
|
|
|
1427
|
|
|
|
|
|
|
/* |
|
1428
|
|
|
|
|
|
|
*+ |
|
1429
|
|
|
|
|
|
|
* Name: |
|
1430
|
|
|
|
|
|
|
* palRefcoq |
|
1431
|
|
|
|
|
|
|
|
|
1432
|
|
|
|
|
|
|
* Purpose: |
|
1433
|
|
|
|
|
|
|
* Determine the constants A and B in the atmospheric refraction model |
|
1434
|
|
|
|
|
|
|
|
|
1435
|
|
|
|
|
|
|
* Language: |
|
1436
|
|
|
|
|
|
|
* Starlink ANSI C |
|
1437
|
|
|
|
|
|
|
|
|
1438
|
|
|
|
|
|
|
* Type of Module: |
|
1439
|
|
|
|
|
|
|
* Library routine |
|
1440
|
|
|
|
|
|
|
|
|
1441
|
|
|
|
|
|
|
* Invocation: |
|
1442
|
|
|
|
|
|
|
* palRefcoq( double tdk, double pmb, double rh, double wl, |
|
1443
|
|
|
|
|
|
|
* double *refa, double *refb ); |
|
1444
|
|
|
|
|
|
|
|
|
1445
|
|
|
|
|
|
|
* Arguments: |
|
1446
|
|
|
|
|
|
|
* tdk = double (Given) |
|
1447
|
|
|
|
|
|
|
* Ambient temperature at the observer (K) |
|
1448
|
|
|
|
|
|
|
* pmb = double (Given) |
|
1449
|
|
|
|
|
|
|
* Pressure at the observer (millibar) |
|
1450
|
|
|
|
|
|
|
* rh = double (Given) |
|
1451
|
|
|
|
|
|
|
* Relative humidity at the observer (range 0-1) |
|
1452
|
|
|
|
|
|
|
* wl = double (Given) |
|
1453
|
|
|
|
|
|
|
* Effective wavelength of the source (micrometre). |
|
1454
|
|
|
|
|
|
|
* Radio refraction is chosen by specifying wl > 100 micrometres. |
|
1455
|
|
|
|
|
|
|
* refa = double * (Returned) |
|
1456
|
|
|
|
|
|
|
* tan Z coefficient (radian) |
|
1457
|
|
|
|
|
|
|
* refb = double * (Returned) |
|
1458
|
|
|
|
|
|
|
* tan**3 Z coefficient (radian) |
|
1459
|
|
|
|
|
|
|
|
|
1460
|
|
|
|
|
|
|
* Description: |
|
1461
|
|
|
|
|
|
|
* Determine the constants A and B in the atmospheric refraction |
|
1462
|
|
|
|
|
|
|
* model dZ = A tan Z + B tan**3 Z. This is a fast alternative |
|
1463
|
|
|
|
|
|
|
* to the palRefco routine. |
|
1464
|
|
|
|
|
|
|
* |
|
1465
|
|
|
|
|
|
|
* Z is the "observed" zenith distance (i.e. affected by refraction) |
|
1466
|
|
|
|
|
|
|
* and dZ is what to add to Z to give the "topocentric" (i.e. in vacuo) |
|
1467
|
|
|
|
|
|
|
* zenith distance. |
|
1468
|
|
|
|
|
|
|
|
|
1469
|
|
|
|
|
|
|
* Notes: |
|
1470
|
|
|
|
|
|
|
* - Uses eraRefco(). See SOFA/ERFA documentation for details. |
|
1471
|
|
|
|
|
|
|
* - Note that the SOFA/ERFA routine uses different order of |
|
1472
|
|
|
|
|
|
|
* of arguments and uses deg C rather than K. |
|
1473
|
|
|
|
|
|
|
|
|
1474
|
|
|
|
|
|
|
*- |
|
1475
|
|
|
|
|
|
|
*/ |
|
1476
|
|
|
|
|
|
|
|
|
1477
|
3
|
|
|
|
|
|
void palRefcoq ( double tdk, double pmb, double rh, double wl, |
|
1478
|
|
|
|
|
|
|
double *refa, double *refb ) { |
|
1479
|
|
|
|
|
|
|
/* Note that SLA (and therefore PAL) uses units of kelvin |
|
1480
|
|
|
|
|
|
|
but SOFA/ERFA uses deg C */ |
|
1481
|
3
|
|
|
|
|
|
eraRefco( pmb, tdk - 273.15, rh, wl, refa, refb ); |
|
1482
|
3
|
|
|
|
|
|
} |