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| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 0 |  |  |  |  |  | void eraAtciqn(double rc, double dc, double pr, double pd, | 
| 4 |  |  |  |  |  |  | double px, double rv, eraASTROM *astrom, | 
| 5 |  |  |  |  |  |  | int n, eraLDBODY b[], double *ri, double *di) | 
| 6 |  |  |  |  |  |  | /* | 
| 7 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 8 |  |  |  |  |  |  | **   e r a A t c i q n | 
| 9 |  |  |  |  |  |  | **  - - - - - - - - - - | 
| 10 |  |  |  |  |  |  | ** | 
| 11 |  |  |  |  |  |  | **  Quick ICRS, epoch J2000.0, to CIRS transformation, given precomputed | 
| 12 |  |  |  |  |  |  | **  star-independent astrometry parameters plus a list of light- | 
| 13 |  |  |  |  |  |  | **  deflecting bodies. | 
| 14 |  |  |  |  |  |  | ** | 
| 15 |  |  |  |  |  |  | **  Use of this function is appropriate when efficiency is important and | 
| 16 |  |  |  |  |  |  | **  where many star positions are to be transformed for one date.  The | 
| 17 |  |  |  |  |  |  | **  star-independent parameters can be obtained by calling one of the | 
| 18 |  |  |  |  |  |  | **  functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13]. | 
| 19 |  |  |  |  |  |  | ** | 
| 20 |  |  |  |  |  |  | ** | 
| 21 |  |  |  |  |  |  | **  If the only light-deflecting body to be taken into account is the | 
| 22 |  |  |  |  |  |  | **  Sun, the eraAtciq function can be used instead.  If in addition the | 
| 23 |  |  |  |  |  |  | **  parallax and proper motions are zero, the eraAtciqz function can be | 
| 24 |  |  |  |  |  |  | **  used. | 
| 25 |  |  |  |  |  |  | ** | 
| 26 |  |  |  |  |  |  | **  Given: | 
| 27 |  |  |  |  |  |  | **     rc,dc  double       ICRS RA,Dec at J2000.0 (radians) | 
| 28 |  |  |  |  |  |  | **     pr     double       RA proper motion (radians/year; Note 3) | 
| 29 |  |  |  |  |  |  | **     pd     double       Dec proper motion (radians/year) | 
| 30 |  |  |  |  |  |  | **     px     double       parallax (arcsec) | 
| 31 |  |  |  |  |  |  | **     rv     double       radial velocity (km/s, +ve if receding) | 
| 32 |  |  |  |  |  |  | **     astrom eraASTROM*   star-independent astrometry parameters: | 
| 33 |  |  |  |  |  |  | **      pmt    double       PM time interval (SSB, Julian years) | 
| 34 |  |  |  |  |  |  | **      eb     double[3]    SSB to observer (vector, au) | 
| 35 |  |  |  |  |  |  | **      eh     double[3]    Sun to observer (unit vector) | 
| 36 |  |  |  |  |  |  | **      em     double       distance from Sun to observer (au) | 
| 37 |  |  |  |  |  |  | **      v      double[3]    barycentric observer velocity (vector, c) | 
| 38 |  |  |  |  |  |  | **      bm1    double       sqrt(1-|v|^2): reciprocal of Lorenz factor | 
| 39 |  |  |  |  |  |  | **      bpn    double[3][3] bias-precession-nutation matrix | 
| 40 |  |  |  |  |  |  | **      along  double       longitude + s' (radians) | 
| 41 |  |  |  |  |  |  | **      xpl    double       polar motion xp wrt local meridian (radians) | 
| 42 |  |  |  |  |  |  | **      ypl    double       polar motion yp wrt local meridian (radians) | 
| 43 |  |  |  |  |  |  | **      sphi   double       sine of geodetic latitude | 
| 44 |  |  |  |  |  |  | **      cphi   double       cosine of geodetic latitude | 
| 45 |  |  |  |  |  |  | **      diurab double       magnitude of diurnal aberration vector | 
| 46 |  |  |  |  |  |  | **      eral   double       "local" Earth rotation angle (radians) | 
| 47 |  |  |  |  |  |  | **      refa   double       refraction constant A (radians) | 
| 48 |  |  |  |  |  |  | **      refb   double       refraction constant B (radians) | 
| 49 |  |  |  |  |  |  | **      n     int           number of bodies (Note 3) | 
| 50 |  |  |  |  |  |  | **      b     eraLDBODY[n] data for each of the n bodies (Notes 3,4): | 
| 51 |  |  |  |  |  |  | **       bm    double        mass of the body (solar masses, Note 5) | 
| 52 |  |  |  |  |  |  | **       dl    double        deflection limiter (Note 6) | 
| 53 |  |  |  |  |  |  | **       pv    [2][3]        barycentric PV of the body (au, au/day) | 
| 54 |  |  |  |  |  |  | ** | 
| 55 |  |  |  |  |  |  | **  Returned: | 
| 56 |  |  |  |  |  |  | **     ri,di   double    CIRS RA,Dec (radians) | 
| 57 |  |  |  |  |  |  | ** | 
| 58 |  |  |  |  |  |  | **  Notes: | 
| 59 |  |  |  |  |  |  | ** | 
| 60 |  |  |  |  |  |  | **  1) Star data for an epoch other than J2000.0 (for example from the | 
| 61 |  |  |  |  |  |  | **     Hipparcos catalog, which has an epoch of J1991.25) will require a | 
| 62 |  |  |  |  |  |  | **     preliminary call to eraPmsafe before use. | 
| 63 |  |  |  |  |  |  | ** | 
| 64 |  |  |  |  |  |  | **  2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt. | 
| 65 |  |  |  |  |  |  | ** | 
| 66 |  |  |  |  |  |  | **  3) The struct b contains n entries, one for each body to be | 
| 67 |  |  |  |  |  |  | **     considered.  If n = 0, no gravitational light deflection will be | 
| 68 |  |  |  |  |  |  | **     applied, not even for the Sun. | 
| 69 |  |  |  |  |  |  | ** | 
| 70 |  |  |  |  |  |  | **  4) The struct b should include an entry for the Sun as well as for | 
| 71 |  |  |  |  |  |  | **     any planet or other body to be taken into account.  The entries | 
| 72 |  |  |  |  |  |  | **     should be in the order in which the light passes the body. | 
| 73 |  |  |  |  |  |  | ** | 
| 74 |  |  |  |  |  |  | **  5) In the entry in the b struct for body i, the mass parameter | 
| 75 |  |  |  |  |  |  | **     b[i].bm can, as required, be adjusted in order to allow for such | 
| 76 |  |  |  |  |  |  | **     effects as quadrupole field. | 
| 77 |  |  |  |  |  |  | ** | 
| 78 |  |  |  |  |  |  | **  6) The deflection limiter parameter b[i].dl is phi^2/2, where phi is | 
| 79 |  |  |  |  |  |  | **     the angular separation (in radians) between star and body at | 
| 80 |  |  |  |  |  |  | **     which limiting is applied.  As phi shrinks below the chosen | 
| 81 |  |  |  |  |  |  | **     threshold, the deflection is artificially reduced, reaching zero | 
| 82 |  |  |  |  |  |  | **     for phi = 0.   Example values suitable for a terrestrial | 
| 83 |  |  |  |  |  |  | **     observer, together with masses, are as follows: | 
| 84 |  |  |  |  |  |  | ** | 
| 85 |  |  |  |  |  |  | **        body i     b[i].bm        b[i].dl | 
| 86 |  |  |  |  |  |  | ** | 
| 87 |  |  |  |  |  |  | **        Sun        1.0            6e-6 | 
| 88 |  |  |  |  |  |  | **        Jupiter    0.00095435     3e-9 | 
| 89 |  |  |  |  |  |  | **        Saturn     0.00028574     3e-10 | 
| 90 |  |  |  |  |  |  | ** | 
| 91 |  |  |  |  |  |  | **  7) For efficiency, validation of the contents of the b array is | 
| 92 |  |  |  |  |  |  | **     omitted.  The supplied masses must be greater than zero, the | 
| 93 |  |  |  |  |  |  | **     position and velocity vectors must be right, and the deflection | 
| 94 |  |  |  |  |  |  | **     limiter greater than zero. | 
| 95 |  |  |  |  |  |  | ** | 
| 96 |  |  |  |  |  |  | **  Called: | 
| 97 |  |  |  |  |  |  | **     eraPmpx      proper motion and parallax | 
| 98 |  |  |  |  |  |  | **     eraLdn       light deflection by n bodies | 
| 99 |  |  |  |  |  |  | **     eraAb        stellar aberration | 
| 100 |  |  |  |  |  |  | **     eraRxp       product of r-matrix and pv-vector | 
| 101 |  |  |  |  |  |  | **     eraC2s       p-vector to spherical | 
| 102 |  |  |  |  |  |  | **     eraAnp       normalize angle into range 0 to 2pi | 
| 103 |  |  |  |  |  |  | ** | 
| 104 |  |  |  |  |  |  | **  Copyright (C) 2013-2020, NumFOCUS Foundation. | 
| 105 |  |  |  |  |  |  | **  Derived, with permission, from the SOFA library.  See notes at end of file. | 
| 106 |  |  |  |  |  |  | */ | 
| 107 |  |  |  |  |  |  | { | 
| 108 |  |  |  |  |  |  | double pco[3], pnat[3], ppr[3], pi[3], w; | 
| 109 |  |  |  |  |  |  |  | 
| 110 |  |  |  |  |  |  |  | 
| 111 |  |  |  |  |  |  | /* Proper motion and parallax, giving BCRS coordinate direction. */ | 
| 112 | 0 |  |  |  |  |  | eraPmpx(rc, dc, pr, pd, px, rv, astrom->pmt, astrom->eb, pco); | 
| 113 |  |  |  |  |  |  |  | 
| 114 |  |  |  |  |  |  | /* Light deflection, giving BCRS natural direction. */ | 
| 115 | 0 |  |  |  |  |  | eraLdn(n, b, astrom->eb, pco, pnat); | 
| 116 |  |  |  |  |  |  |  | 
| 117 |  |  |  |  |  |  | /* Aberration, giving GCRS proper direction. */ | 
| 118 | 0 |  |  |  |  |  | eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr); | 
| 119 |  |  |  |  |  |  |  | 
| 120 |  |  |  |  |  |  | /* Bias-precession-nutation, giving CIRS proper direction. */ | 
| 121 | 0 |  |  |  |  |  | eraRxp(astrom->bpn, ppr, pi); | 
| 122 |  |  |  |  |  |  |  | 
| 123 |  |  |  |  |  |  | /* CIRS RA,Dec. */ | 
| 124 | 0 |  |  |  |  |  | eraC2s(pi, &w, di); | 
| 125 | 0 |  |  |  |  |  | *ri = eraAnp(w); | 
| 126 |  |  |  |  |  |  |  | 
| 127 |  |  |  |  |  |  | /* Finished. */ | 
| 128 |  |  |  |  |  |  |  | 
| 129 | 0 |  |  |  |  |  | } | 
| 130 |  |  |  |  |  |  | /*---------------------------------------------------------------------- | 
| 131 |  |  |  |  |  |  | ** | 
| 132 |  |  |  |  |  |  | ** | 
| 133 |  |  |  |  |  |  | **  Copyright (C) 2013-2020, NumFOCUS Foundation. | 
| 134 |  |  |  |  |  |  | **  All rights reserved. | 
| 135 |  |  |  |  |  |  | ** | 
| 136 |  |  |  |  |  |  | **  This library is derived, with permission, from the International | 
| 137 |  |  |  |  |  |  | **  Astronomical Union's "Standards of Fundamental Astronomy" library, | 
| 138 |  |  |  |  |  |  | **  available from http://www.iausofa.org. | 
| 139 |  |  |  |  |  |  | ** | 
| 140 |  |  |  |  |  |  | **  The ERFA version is intended to retain identical functionality to | 
| 141 |  |  |  |  |  |  | **  the SOFA library, but made distinct through different function and | 
| 142 |  |  |  |  |  |  | **  file names, as set out in the SOFA license conditions.  The SOFA | 
| 143 |  |  |  |  |  |  | **  original has a role as a reference standard for the IAU and IERS, | 
| 144 |  |  |  |  |  |  | **  and consequently redistribution is permitted only in its unaltered | 
| 145 |  |  |  |  |  |  | **  state.  The ERFA version is not subject to this restriction and | 
| 146 |  |  |  |  |  |  | **  therefore can be included in distributions which do not support the | 
| 147 |  |  |  |  |  |  | **  concept of "read only" software. | 
| 148 |  |  |  |  |  |  | ** | 
| 149 |  |  |  |  |  |  | **  Although the intent is to replicate the SOFA API (other than | 
| 150 |  |  |  |  |  |  | **  replacement of prefix names) and results (with the exception of | 
| 151 |  |  |  |  |  |  | **  bugs;  any that are discovered will be fixed), SOFA is not | 
| 152 |  |  |  |  |  |  | **  responsible for any errors found in this version of the library. | 
| 153 |  |  |  |  |  |  | ** | 
| 154 |  |  |  |  |  |  | **  If you wish to acknowledge the SOFA heritage, please acknowledge | 
| 155 |  |  |  |  |  |  | **  that you are using a library derived from SOFA, rather than SOFA | 
| 156 |  |  |  |  |  |  | **  itself. | 
| 157 |  |  |  |  |  |  | ** | 
| 158 |  |  |  |  |  |  | ** | 
| 159 |  |  |  |  |  |  | **  TERMS AND CONDITIONS | 
| 160 |  |  |  |  |  |  | ** | 
| 161 |  |  |  |  |  |  | **  Redistribution and use in source and binary forms, with or without | 
| 162 |  |  |  |  |  |  | **  modification, are permitted provided that the following conditions | 
| 163 |  |  |  |  |  |  | **  are met: | 
| 164 |  |  |  |  |  |  | ** | 
| 165 |  |  |  |  |  |  | **  1 Redistributions of source code must retain the above copyright | 
| 166 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer. | 
| 167 |  |  |  |  |  |  | ** | 
| 168 |  |  |  |  |  |  | **  2 Redistributions in binary form must reproduce the above copyright | 
| 169 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer in | 
| 170 |  |  |  |  |  |  | **    the documentation and/or other materials provided with the | 
| 171 |  |  |  |  |  |  | **    distribution. | 
| 172 |  |  |  |  |  |  | ** | 
| 173 |  |  |  |  |  |  | **  3 Neither the name of the Standards Of Fundamental Astronomy Board, | 
| 174 |  |  |  |  |  |  | **    the International Astronomical Union nor the names of its | 
| 175 |  |  |  |  |  |  | **    contributors may be used to endorse or promote products derived | 
| 176 |  |  |  |  |  |  | **    from this software without specific prior written permission. | 
| 177 |  |  |  |  |  |  | ** | 
| 178 |  |  |  |  |  |  | **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | 
| 179 |  |  |  |  |  |  | **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | 
| 180 |  |  |  |  |  |  | **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | 
| 181 |  |  |  |  |  |  | **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE | 
| 182 |  |  |  |  |  |  | **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | 
| 183 |  |  |  |  |  |  | **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
| 184 |  |  |  |  |  |  | **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
| 185 |  |  |  |  |  |  | **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | 
| 186 |  |  |  |  |  |  | **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
| 187 |  |  |  |  |  |  | **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | 
| 188 |  |  |  |  |  |  | **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
| 189 |  |  |  |  |  |  | **  POSSIBILITY OF SUCH DAMAGE. | 
| 190 |  |  |  |  |  |  | ** | 
| 191 |  |  |  |  |  |  | */ |