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/* |
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*+ |
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* Name: |
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4
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* palMapqkz |
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6
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* Purpose: |
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7
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* Quick mean to apparent place (no proper motion or parallax). |
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8
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9
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* Language: |
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* Starlink ANSI C |
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11
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12
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* Type of Module: |
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13
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* Library routine |
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15
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* Invocation: |
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16
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* void palMapqkz( double rm, double dm, double amprms[21], |
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17
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* double *ra, double *da ) |
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18
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19
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* Arguments: |
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20
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* rm = double (Given) |
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21
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* Mean RA (radians). |
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22
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* dm = double (Given) |
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23
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* Mean Dec (radians). |
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24
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* amprms = double[21] (Given) |
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25
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* Star-independent mean-to-apparent parameters (see palMappa): |
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26
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* (0-3) not used |
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27
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* (4-6) heliocentric direction of the Earth (unit vector) |
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* (7) not used |
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29
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* (8-10) abv: barycentric Earth velocity in units of c |
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30
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* (11) sqrt(1-v^2) where v=modulus(abv) |
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31
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* (12-20) precession/nutation (3,3) matrix |
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32
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* ra = double * (Returned) |
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33
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* Apparent RA (radians). |
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34
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* da = double * (Returned) |
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35
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* Apparent Dec (radians). |
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36
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37
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* Description: |
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38
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* Quick mean to apparent place: transform a star RA,dec from |
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39
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* mean place to geocentric apparent place, given the |
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40
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* star-independent parameters, and assuming zero parallax |
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41
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* and proper motion. |
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42
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* |
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43
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* Use of this function is appropriate when efficiency is important |
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44
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* and where many star positions, all with parallax and proper |
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45
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* motion either zero or already allowed for, and all referred to |
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46
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* the same equator and equinox, are to be transformed for one |
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47
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* epoch. The star-independent parameters can be obtained by |
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48
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* calling the palMappa function. |
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49
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* |
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50
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* The corresponding function for the case of non-zero parallax |
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51
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* and proper motion is palMapqk. |
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52
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53
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* Notes: |
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54
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* - The reference systems and timescales used are IAU 2006. |
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55
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* - The mean place rm, dm and the vectors amprms[1-3] and amprms[4-6] |
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56
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* are referred to the mean equinox and equator of the epoch |
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57
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* specified when generating the precession/nutation matrix |
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58
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* amprms[12-20]. In the call to palMappa (q.v.) normally used |
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59
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* to populate amprms, this epoch is the first argument (eq). |
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60
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* - The vector amprms(4-6) is referred to the mean equinox and |
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61
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* equator of epoch eq. |
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62
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* - Strictly speaking, the routine is not valid for solar-system |
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63
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* sources, though the error will usually be extremely small. |
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64
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* However, to prevent gross errors in the case where the |
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65
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* position of the Sun is specified, the gravitational |
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66
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* deflection term is restrained within about 920 arcsec of the |
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67
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* centre of the Sun's disc. The term has a maximum value of |
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68
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* about 1.85 arcsec at this radius, and decreases to zero as |
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69
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* the centre of the disc is approached. |
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70
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71
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* Authors: |
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72
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* PTW: Pat Wallace (STFC) |
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73
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* {enter_new_authors_here} |
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74
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75
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* History: |
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76
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* 2012-02-13 (PTW): |
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77
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* Initial version. |
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78
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* Adapted with permission from the Fortran SLALIB library. |
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79
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* {enter_further_changes_here} |
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80
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81
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* Copyright: |
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* Copyright (C) 1999 Rutherford Appleton Laboratory |
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83
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* Copyright (C) 2012 Science and Technology Facilities Council. |
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84
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* All Rights Reserved. |
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85
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86
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* Licence: |
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87
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* This program is free software: you can redistribute it and/or |
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88
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* modify it under the terms of the GNU Lesser General Public |
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89
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* License as published by the Free Software Foundation, either |
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90
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* version 3 of the License, or (at your option) any later |
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91
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* version. |
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92
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* |
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93
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* This program is distributed in the hope that it will be useful, |
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94
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* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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95
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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96
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* GNU Lesser General Public License for more details. |
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97
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* |
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98
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* You should have received a copy of the GNU Lesser General |
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99
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* License along with this program. If not, see |
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100
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* . |
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101
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102
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* Bugs: |
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103
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* {note_any_bugs_here} |
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104
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*- |
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105
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*/ |
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106
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107
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#include "pal.h" |
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108
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#include "pal1sofa.h" |
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109
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110
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0
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void palMapqkz ( double rm, double dm, double amprms[21], double *ra, |
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111
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double *da ){ |
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112
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113
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/* Local Variables: */ |
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114
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int i; |
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115
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double ab1, abv[3], p[3], w, p1dv, p2[3], p3[3]; |
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116
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double gr2e, pde, pdep1, ehn[3], p1[3]; |
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117
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118
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/* Unpack scalar and vector parameters. */ |
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119
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0
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ab1 = amprms[11]; |
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120
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0
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gr2e = amprms[7]; |
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121
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0
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0
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for( i = 0; i < 3; i++ ) { |
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122
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0
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abv[i] = amprms[i+8]; |
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123
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0
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ehn[i] = amprms[i+4]; |
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124
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} |
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125
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126
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/* Spherical to x,y,z. */ |
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127
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0
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eraS2c( rm, dm, p ); |
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128
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129
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/* Light deflection (restrained within the Sun's disc) */ |
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130
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0
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pde = eraPdp( p, ehn ); |
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131
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0
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pdep1 = pde + 1.0; |
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132
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0
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0
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w = gr2e / ( pdep1 > 1.0e-5 ? pdep1 : 1.0e-5 ); |
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133
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0
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0
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for( i = 0; i < 3; i++) { |
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134
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0
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p1[i] = p[i] + w * ( ehn[i] - pde * p[i] ); |
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135
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} |
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136
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137
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/* Aberration. */ |
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138
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0
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p1dv = eraPdp( p1, abv ); |
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139
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0
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w = 1.0 + p1dv / ( ab1 + 1.0 ); |
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140
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0
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0
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for( i = 0; i < 3; i++ ) { |
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141
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0
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p2[i] = ( ( ab1 * p1[i] ) + ( w * abv[i] ) ); |
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142
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} |
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143
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144
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/* Precession and nutation. */ |
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145
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0
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eraRxp( (double(*)[3]) &rms[12], p2, p3 ); |
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146
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147
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/* Geocentric apparent RA,dec. */ |
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148
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0
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eraC2s( p3, ra, da ); |
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149
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0
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*ra = eraAnp( *ra ); |
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150
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0
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} |