| 1 | #include "erfa.h"
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| 2 |
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| 3 | void eraAtciqn(double rc, double dc, double pr, double pd,
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| 4 | double px, double rv, eraASTROM *astrom,
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| 5 | int n, eraLDBODY b[], double *ri, double *di)
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| 6 | /*
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| 7 | ** - - - - - - - - - -
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| 8 | ** e r a A t c i q n
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| 9 | ** - - - - - - - - - -
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| 10 | **
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| 11 | ** Quick ICRS, epoch J2000.0, to CIRS transformation, given precomputed
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| 12 | ** star-independent astrometry parameters plus a list of light-
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| 13 | ** deflecting bodies.
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| 14 | **
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| 15 | ** Use of this function is appropriate when efficiency is important and
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| 16 | ** where many star positions are to be transformed for one date. The
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| 17 | ** star-independent parameters can be obtained by calling one of the
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| 18 | ** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13].
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| 19 | **
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| 20 | **
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| 21 | ** If the only light-deflecting body to be taken into account is the
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| 22 | ** Sun, the eraAtciq function can be used instead. If in addition the
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| 23 | ** parallax and proper motions are zero, the eraAtciqz function can be
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| 24 | ** used.
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| 25 | **
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| 26 | ** Given:
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| 27 | ** rc,dc double ICRS RA,Dec at J2000.0 (radians)
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| 28 | ** pr double RA proper motion (radians/year; Note 3)
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| 29 | ** pd double Dec proper motion (radians/year)
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| 30 | ** px double parallax (arcsec)
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| 31 | ** rv double radial velocity (km/s, +ve if receding)
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| 32 | ** astrom eraASTROM* star-independent astrometry parameters:
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| 33 | ** pmt double PM time interval (SSB, Julian years)
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| 34 | ** eb double[3] SSB to observer (vector, au)
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| 35 | ** eh double[3] Sun to observer (unit vector)
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| 36 | ** em double distance from Sun to observer (au)
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| 37 | ** v double[3] barycentric observer velocity (vector, c)
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| 38 | ** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
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| 39 | ** bpn double[3][3] bias-precession-nutation matrix
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| 40 | ** along double longitude + s' (radians)
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| 41 | ** xpl double polar motion xp wrt local meridian (radians)
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| 42 | ** ypl double polar motion yp wrt local meridian (radians)
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| 43 | ** sphi double sine of geodetic latitude
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| 44 | ** cphi double cosine of geodetic latitude
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| 45 | ** diurab double magnitude of diurnal aberration vector
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| 46 | ** eral double "local" Earth rotation angle (radians)
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| 47 | ** refa double refraction constant A (radians)
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| 48 | ** refb double refraction constant B (radians)
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| 49 | ** n int number of bodies (Note 3)
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| 50 | ** b eraLDBODY[n] data for each of the n bodies (Notes 3,4):
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| 51 | ** bm double mass of the body (solar masses, Note 5)
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| 52 | ** dl double deflection limiter (Note 6)
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| 53 | ** pv [2][3] barycentric PV of the body (au, au/day)
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| 54 | **
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| 55 | ** Returned:
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| 56 | ** ri,di double CIRS RA,Dec (radians)
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| 57 | **
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| 58 | ** Notes:
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| 59 | **
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| 60 | ** 1) Star data for an epoch other than J2000.0 (for example from the
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| 61 | ** Hipparcos catalog, which has an epoch of J1991.25) will require a
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| 62 | ** preliminary call to eraPmsafe before use.
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| 63 | **
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| 64 | ** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
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| 65 | **
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| 66 | ** 3) The struct b contains n entries, one for each body to be
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| 67 | ** considered. If n = 0, no gravitational light deflection will be
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| 68 | ** applied, not even for the Sun.
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| 69 | **
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| 70 | ** 4) The struct b should include an entry for the Sun as well as for
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| 71 | ** any planet or other body to be taken into account. The entries
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| 72 | ** should be in the order in which the light passes the body.
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| 73 | **
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| 74 | ** 5) In the entry in the b struct for body i, the mass parameter
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| 75 | ** b[i].bm can, as required, be adjusted in order to allow for such
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| 76 | ** effects as quadrupole field.
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| 77 | **
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| 78 | ** 6) The deflection limiter parameter b[i].dl is phi^2/2, where phi is
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| 79 | ** the angular separation (in radians) between star and body at
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| 80 | ** which limiting is applied. As phi shrinks below the chosen
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| 81 | ** threshold, the deflection is artificially reduced, reaching zero
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| 82 | ** for phi = 0. Example values suitable for a terrestrial
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| 83 | ** observer, together with masses, are as follows:
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| 84 | **
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| 85 | ** body i b[i].bm b[i].dl
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| 86 | **
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| 87 | ** Sun 1.0 6e-6
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| 88 | ** Jupiter 0.00095435 3e-9
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| 89 | ** Saturn 0.00028574 3e-10
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| 90 | **
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| 91 | ** 7) For efficiency, validation of the contents of the b array is
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| 92 | ** omitted. The supplied masses must be greater than zero, the
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| 93 | ** position and velocity vectors must be right, and the deflection
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| 94 | ** limiter greater than zero.
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| 95 | **
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| 96 | ** Called:
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| 97 | ** eraPmpx proper motion and parallax
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| 98 | ** eraLdn light deflection by n bodies
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| 99 | ** eraAb stellar aberration
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| 100 | ** eraRxp product of r-matrix and pv-vector
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| 101 | ** eraC2s p-vector to spherical
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| 102 | ** eraAnp normalize angle into range 0 to 2pi
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| 103 | **
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| 104 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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| 105 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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| 106 | */
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| 107 | {
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| 108 | double pco[3], pnat[3], ppr[3], pi[3], w;
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| 109 |
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| 110 |
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| 111 | /* Proper motion and parallax, giving BCRS coordinate direction. */
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| 112 | eraPmpx(rc, dc, pr, pd, px, rv, astrom->pmt, astrom->eb, pco);
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| 113 |
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| 114 | /* Light deflection, giving BCRS natural direction. */
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| 115 | eraLdn(n, b, astrom->eb, pco, pnat);
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| 116 |
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| 117 | /* Aberration, giving GCRS proper direction. */
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| 118 | eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr);
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| 119 |
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| 120 | /* Bias-precession-nutation, giving CIRS proper direction. */
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| 121 | eraRxp(astrom->bpn, ppr, pi);
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| 122 |
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| 123 | /* CIRS RA,Dec. */
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| 124 | eraC2s(pi, &w, di);
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| 125 | *ri = eraAnp(w);
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| 126 |
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| 127 | /* Finished. */
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| 128 |
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| 129 | }
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| 130 | /*----------------------------------------------------------------------
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| 131 | **
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| 132 | **
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| 133 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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| 134 | ** All rights reserved.
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| 135 | **
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| 136 | ** This library is derived, with permission, from the International
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| 137 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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| 138 | ** available from http://www.iausofa.org.
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| 139 | **
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| 140 | ** The ERFA version is intended to retain identical functionality to
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| 141 | ** the SOFA library, but made distinct through different function and
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| 142 | ** file names, as set out in the SOFA license conditions. The SOFA
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| 143 | ** original has a role as a reference standard for the IAU and IERS,
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| 144 | ** and consequently redistribution is permitted only in its unaltered
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| 145 | ** state. The ERFA version is not subject to this restriction and
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| 146 | ** therefore can be included in distributions which do not support the
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| 147 | ** concept of "read only" software.
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| 148 | **
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| 149 | ** Although the intent is to replicate the SOFA API (other than
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| 150 | ** replacement of prefix names) and results (with the exception of
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| 151 | ** bugs; any that are discovered will be fixed), SOFA is not
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| 152 | ** responsible for any errors found in this version of the library.
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| 153 | **
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| 154 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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| 155 | ** that you are using a library derived from SOFA, rather than SOFA
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| 156 | ** itself.
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| 157 | **
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| 158 | **
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| 159 | ** TERMS AND CONDITIONS
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| 160 | **
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| 161 | ** Redistribution and use in source and binary forms, with or without
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| 162 | ** modification, are permitted provided that the following conditions
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| 163 | ** are met:
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| 164 | **
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| 165 | ** 1 Redistributions of source code must retain the above copyright
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| 166 | ** notice, this list of conditions and the following disclaimer.
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| 167 | **
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| 168 | ** 2 Redistributions in binary form must reproduce the above copyright
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| 169 | ** notice, this list of conditions and the following disclaimer in
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| 170 | ** the documentation and/or other materials provided with the
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| 171 | ** distribution.
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| 172 | **
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| 173 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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| 174 | ** the International Astronomical Union nor the names of its
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| 175 | ** contributors may be used to endorse or promote products derived
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| 176 | ** from this software without specific prior written permission.
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| 177 | **
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| 178 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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| 179 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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| 180 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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| 181 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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| 182 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 183 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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| 184 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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| 185 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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| 186 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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| 187 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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| 188 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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| 189 | ** POSSIBILITY OF SUCH DAMAGE.
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| 190 | **
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| 191 | */
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