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authorWilliam Joye <wjoye@cfa.harvard.edu>2017-12-08 18:57:06 (GMT)
committerWilliam Joye <wjoye@cfa.harvard.edu>2017-12-08 18:57:06 (GMT)
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-#include "erfa.h"
-
-void eraAticqn(double ri, double di, eraASTROM *astrom,
- int n, eraLDBODY b[], double *rc, double *dc)
-/*
-** - - - - - - - - -
-** e r a A t i c q n
-** - - - - - - - - -
-**
-** Quick CIRS to ICRS astrometric place transformation, given the star-
-** independent astrometry parameters plus a list of light-deflecting
-** bodies.
-**
-** Use of this function is appropriate when efficiency is important and
-** where many star positions are all to be transformed for one date.
-** The star-independent astrometry parameters can be obtained by
-** calling one of the functions eraApci[13], eraApcg[13], eraApco[13]
-** or eraApcs[13].
-*
-* If the only light-deflecting body to be taken into account is the
-* Sun, the eraAticq function can be used instead.
-**
-** Given:
-** ri,di double CIRS RA,Dec (radians)
-** astrom eraASTROM* star-independent astrometry parameters:
-** pmt double PM time interval (SSB, Julian years)
-** eb double[3] SSB to observer (vector, au)
-** eh double[3] Sun to observer (unit vector)
-** em double distance from Sun to observer (au)
-** v double[3] barycentric observer velocity (vector, c)
-** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
-** bpn double[3][3] bias-precession-nutation matrix
-** along double longitude + s' (radians)
-** xpl double polar motion xp wrt local meridian (radians)
-** ypl double polar motion yp wrt local meridian (radians)
-** sphi double sine of geodetic latitude
-** cphi double cosine of geodetic latitude
-** diurab double magnitude of diurnal aberration vector
-** eral double "local" Earth rotation angle (radians)
-** refa double refraction constant A (radians)
-** refb double refraction constant B (radians)
-** n int number of bodies (Note 3)
-** b eraLDBODY[n] data for each of the n bodies (Notes 3,4):
-** bm double mass of the body (solar masses, Note 5)
-** dl double deflection limiter (Note 6)
-** pv [2][3] barycentric PV of the body (au, au/day)
-**
-** Returned:
-** rc,dc double ICRS astrometric RA,Dec (radians)
-**
-** Notes:
-**
-** 1) Iterative techniques are used for the aberration and light
-** deflection corrections so that the functions eraAticqn and
-** eraAtciqn are accurate inverses; even at the edge of the Sun's
-** disk the discrepancy is only about 1 nanoarcsecond.
-**
-** 2) If the only light-deflecting body to be taken into account is the
-** Sun, the eraAticq function can be used instead.
-**
-** 3) The struct b contains n entries, one for each body to be
-** considered. If n = 0, no gravitational light deflection will be
-** applied, not even for the Sun.
-**
-** 4) The struct b should include an entry for the Sun as well as for
-** any planet or other body to be taken into account. The entries
-** should be in the order in which the light passes the body.
-**
-** 5) In the entry in the b struct for body i, the mass parameter
-** b[i].bm can, as required, be adjusted in order to allow for such
-** effects as quadrupole field.
-**
-** 6) The deflection limiter parameter b[i].dl is phi^2/2, where phi is
-** the angular separation (in radians) between star and body at
-** which limiting is applied. As phi shrinks below the chosen
-** threshold, the deflection is artificially reduced, reaching zero
-** for phi = 0. Example values suitable for a terrestrial
-** observer, together with masses, are as follows:
-**
-** body i b[i].bm b[i].dl
-**
-** Sun 1.0 6e-6
-** Jupiter 0.00095435 3e-9
-** Saturn 0.00028574 3e-10
-**
-** 7) For efficiency, validation of the contents of the b array is
-** omitted. The supplied masses must be greater than zero, the
-** position and velocity vectors must be right, and the deflection
-** limiter greater than zero.
-**
-** Called:
-** eraS2c spherical coordinates to unit vector
-** eraTrxp product of transpose of r-matrix and p-vector
-** eraZp zero p-vector
-** eraAb stellar aberration
-** eraLdn light deflection by n bodies
-** eraC2s p-vector to spherical
-** eraAnp normalize angle into range +/- pi
-**
-** Copyright (C) 2013-2016, NumFOCUS Foundation.
-** Derived, with permission, from the SOFA library. See notes at end of file.
-*/
-{
- int j, i;
- double pi[3], ppr[3], pnat[3], pco[3], w, d[3], before[3], r2, r,
- after[3];
-
-
-/* CIRS RA,Dec to Cartesian. */
- eraS2c(ri, di, pi);
-
-/* Bias-precession-nutation, giving GCRS proper direction. */
- eraTrxp(astrom->bpn, pi, ppr);
-
-/* Aberration, giving GCRS natural direction. */
- eraZp(d);
- for (j = 0; j < 2; j++) {
- r2 = 0.0;
- for (i = 0; i < 3; i++) {
- w = ppr[i] - d[i];
- before[i] = w;
- r2 += w*w;
- }
- r = sqrt(r2);
- for (i = 0; i < 3; i++) {
- before[i] /= r;
- }
- eraAb(before, astrom->v, astrom->em, astrom->bm1, after);
- r2 = 0.0;
- for (i = 0; i < 3; i++) {
- d[i] = after[i] - before[i];
- w = ppr[i] - d[i];
- pnat[i] = w;
- r2 += w*w;
- }
- r = sqrt(r2);
- for (i = 0; i < 3; i++) {
- pnat[i] /= r;
- }
- }
-
-/* Light deflection, giving BCRS coordinate direction. */
- eraZp(d);
- for (j = 0; j < 5; j++) {
- r2 = 0.0;
- for (i = 0; i < 3; i++) {
- w = pnat[i] - d[i];
- before[i] = w;
- r2 += w*w;
- }
- r = sqrt(r2);
- for (i = 0; i < 3; i++) {
- before[i] /= r;
- }
- eraLdn(n, b, astrom->eb, before, after);
- r2 = 0.0;
- for (i = 0; i < 3; i++) {
- d[i] = after[i] - before[i];
- w = pnat[i] - d[i];
- pco[i] = w;
- r2 += w*w;
- }
- r = sqrt(r2);
- for (i = 0; i < 3; i++) {
- pco[i] /= r;
- }
- }
-
-/* ICRS astrometric RA,Dec. */
- eraC2s(pco, &w, dc);
- *rc = eraAnp(w);
-
-/* Finished. */
-
-}
-/*----------------------------------------------------------------------
-**
-**
-** Copyright (C) 2013-2016, NumFOCUS Foundation.
-** All rights reserved.
-**
-** This library is derived, with permission, from the International
-** Astronomical Union's "Standards of Fundamental Astronomy" library,
-** available from http://www.iausofa.org.
-**
-** The ERFA version is intended to retain identical functionality to
-** the SOFA library, but made distinct through different function and
-** file names, as set out in the SOFA license conditions. The SOFA
-** original has a role as a reference standard for the IAU and IERS,
-** and consequently redistribution is permitted only in its unaltered
-** state. The ERFA version is not subject to this restriction and
-** therefore can be included in distributions which do not support the
-** concept of "read only" software.
-**
-** Although the intent is to replicate the SOFA API (other than
-** replacement of prefix names) and results (with the exception of
-** bugs; any that are discovered will be fixed), SOFA is not
-** responsible for any errors found in this version of the library.
-**
-** If you wish to acknowledge the SOFA heritage, please acknowledge
-** that you are using a library derived from SOFA, rather than SOFA
-** itself.
-**
-**
-** TERMS AND CONDITIONS
-**
-** Redistribution and use in source and binary forms, with or without
-** modification, are permitted provided that the following conditions
-** are met:
-**
-** 1 Redistributions of source code must retain the above copyright
-** notice, this list of conditions and the following disclaimer.
-**
-** 2 Redistributions in binary form must reproduce the above copyright
-** notice, this list of conditions and the following disclaimer in
-** the documentation and/or other materials provided with the
-** distribution.
-**
-** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
-** the International Astronomical Union nor the names of its
-** contributors may be used to endorse or promote products derived
-** from this software without specific prior written permission.
-**
-** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
-** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
-** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
-** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
-** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
-** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
-** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
-** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
-** POSSIBILITY OF SUCH DAMAGE.
-**
-*/