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#include "erfa.h" |
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void eraFk54z(double r2000, double d2000, double bepoch, |
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double *r1950, double *d1950, |
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double *dr1950, double *dd1950) |
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/* |
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** - - - - - - - - - |
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** e r a F k 5 4 z |
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** - - - - - - - - - |
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** |
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** Convert a J2000.0 FK5 star position to B1950.0 FK4, assuming zero |
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** proper motion in FK5 and parallax. |
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** |
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** Given: |
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** r2000,d2000 double J2000.0 FK5 RA,Dec (rad) |
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** bepoch double Besselian epoch (e.g. 1950.0) |
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** |
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** Returned: |
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** r1950,d1950 double B1950.0 FK4 RA,Dec (rad) at epoch BEPOCH |
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** dr1950,dd1950 double B1950.0 FK4 proper motions (rad/trop.yr) |
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** |
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** Notes: |
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** |
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** 1) In contrast to the eraFk524 routine, here the FK5 proper |
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** motions, the parallax and the radial velocity are presumed zero. |
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** |
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** 2) This function converts a star position from the IAU 1976 FK5 |
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** (Fricke) system to the former FK4 (Bessel-Newcomb) system, for |
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** cases such as distant radio sources where it is presumed there is |
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** zero parallax and no proper motion. Because of the E-terms of |
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** aberration, such objects have (in general) non-zero proper motion |
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** in FK4, and the present routine returns those fictitious proper |
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** motions. |
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** |
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** 3) Conversion from B1950.0 FK4 to J2000.0 FK5 only is provided for. |
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** Conversions involving other equinoxes would require additional |
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** treatment for precession. |
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** |
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** 4) The position returned by this routine is in the B1950.0 FK4 |
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** reference system but at Besselian epoch BEPOCH. For comparison |
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** with catalogs the BEPOCH argument will frequently be 1950.0. (In |
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** this context the distinction between Besselian and Julian epoch |
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** is insignificant.) |
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** |
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** 5) The RA component of the returned (fictitious) proper motion is |
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** dRA/dt rather than cos(Dec)*dRA/dt. |
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** |
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** Called: |
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** eraAnp normalize angle into range 0 to 2pi |
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** eraC2s p-vector to spherical |
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** eraFk524 FK4 to FK5 |
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** eraS2c spherical to p-vector |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** Derived, with permission, from the SOFA library. See notes at end of file. |
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*/ |
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{ |
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double r, d, pr, pd, px, rv, p[3], w, v[3]; |
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int i; |
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/* FK5 equinox J2000.0 to FK4 equinox B1950.0. */ |
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eraFk524(r2000, d2000, 0.0, 0.0, 0.0, 0.0, |
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&r, &d, &pr, &pd, &px, &rv); |
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/* Spherical to Cartesian. */ |
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eraS2c(r, d, p); |
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/* Fictitious proper motion (radians per year). */ |
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v[0] = - pr*p[1] - pd*cos(r)*sin(d); |
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v[1] = pr*p[0] - pd*sin(r)*sin(d); |
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v[2] = pd*cos(d); |
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/* Apply the motion. */ |
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w = bepoch - 1950.0; |
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for ( i = 0; i < 3; i++ ) { |
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p[i] += w*v[i]; |
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} |
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/* Cartesian to spherical. */ |
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eraC2s(p, &w, d1950); |
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*r1950 = eraAnp(w); |
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/* Fictitious proper motion. */ |
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*dr1950 = pr; |
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*dd1950 = pd; |
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/* Finished. */ |
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} |
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/*---------------------------------------------------------------------- |
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** |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** All rights reserved. |
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** |
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** This library is derived, with permission, from the International |
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** Astronomical Union's "Standards of Fundamental Astronomy" library, |
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** available from http://www.iausofa.org. |
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** |
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** The ERFA version is intended to retain identical functionality to |
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** the SOFA library, but made distinct through different function and |
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** file names, as set out in the SOFA license conditions. The SOFA |
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** original has a role as a reference standard for the IAU and IERS, |
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** and consequently redistribution is permitted only in its unaltered |
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** state. The ERFA version is not subject to this restriction and |
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** therefore can be included in distributions which do not support the |
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** concept of "read only" software. |
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** |
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** Although the intent is to replicate the SOFA API (other than |
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** replacement of prefix names) and results (with the exception of |
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** bugs; any that are discovered will be fixed), SOFA is not |
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** responsible for any errors found in this version of the library. |
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** |
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** If you wish to acknowledge the SOFA heritage, please acknowledge |
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** that you are using a library derived from SOFA, rather than SOFA |
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** itself. |
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** |
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** |
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** TERMS AND CONDITIONS |
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** |
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** Redistribution and use in source and binary forms, with or without |
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** modification, are permitted provided that the following conditions |
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** are met: |
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** |
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** 1 Redistributions of source code must retain the above copyright |
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** notice, this list of conditions and the following disclaimer. |
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** |
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** 2 Redistributions in binary form must reproduce the above copyright |
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** notice, this list of conditions and the following disclaimer in |
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** the documentation and/or other materials provided with the |
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** distribution. |
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** |
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** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
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** the International Astronomical Union nor the names of its |
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** contributors may be used to endorse or promote products derived |
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** from this software without specific prior written permission. |
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** |
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** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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** POSSIBILITY OF SUCH DAMAGE. |
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** |
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*/ |