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#include "erfa.h" |
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void eraFk5hz(double r5, double d5, double date1, double date2, |
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double *rh, double *dh) |
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/* |
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** - - - - - - - - - |
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** e r a F k 5 h z |
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** - - - - - - - - - |
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** |
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** Transform an FK5 (J2000.0) star position into the system of the |
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** Hipparcos catalogue, assuming zero Hipparcos proper motion. |
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** |
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** Given: |
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** r5 double FK5 RA (radians), equinox J2000.0, at date |
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** d5 double FK5 Dec (radians), equinox J2000.0, at date |
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** date1,date2 double TDB date (Notes 1,2) |
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** |
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** Returned: |
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** rh double Hipparcos RA (radians) |
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** dh double Hipparcos Dec (radians) |
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** |
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** Notes: |
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** |
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** 1) This function converts a star position from the FK5 system to |
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** the Hipparcos system, in such a way that the Hipparcos proper |
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** motion is zero. Because such a star has, in general, a non-zero |
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** proper motion in the FK5 system, the function requires the date |
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** at which the position in the FK5 system was determined. |
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** |
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** 2) The TT date date1+date2 is a Julian Date, apportioned in any |
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** convenient way between the two arguments. For example, |
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** JD(TT)=2450123.7 could be expressed in any of these ways, |
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** among others: |
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** |
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** date1 date2 |
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** |
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** 2450123.7 0.0 (JD method) |
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** 2451545.0 -1421.3 (J2000 method) |
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** 2400000.5 50123.2 (MJD method) |
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** 2450123.5 0.2 (date & time method) |
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** |
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** The JD method is the most natural and convenient to use in |
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** cases where the loss of several decimal digits of resolution |
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** is acceptable. The J2000 method is best matched to the way |
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** the argument is handled internally and will deliver the |
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** optimum resolution. The MJD method and the date & time methods |
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** are both good compromises between resolution and convenience. |
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** |
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** 3) The FK5 to Hipparcos transformation is modeled as a pure |
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** rotation and spin; zonal errors in the FK5 catalogue are not |
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** taken into account. |
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** |
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** 4) The position returned by this function is in the Hipparcos |
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** reference system but at date date1+date2. |
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** |
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** 5) See also eraFk52h, eraH2fk5, eraHfk5z. |
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** |
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** Called: |
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** eraS2c spherical coordinates to unit vector |
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** eraFk5hip FK5 to Hipparcos rotation and spin |
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** eraSxp multiply p-vector by scalar |
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** eraRv2m r-vector to r-matrix |
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** eraTrxp product of transpose of r-matrix and p-vector |
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** eraPxp vector product of two p-vectors |
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** eraC2s p-vector to spherical |
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** eraAnp normalize angle into range 0 to 2pi |
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** |
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** Reference: |
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** |
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** F.Mignard & M.Froeschle, 2000, Astron.Astrophys. 354, 732-739. |
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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 t, p5e[3], r5h[3][3], s5h[3], vst[3], rst[3][3], p5[3], |
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ph[3], w; |
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/* Interval from given date to fundamental epoch J2000.0 (JY). */ |
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t = - ((date1 - ERFA_DJ00) + date2) / ERFA_DJY; |
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/* FK5 barycentric position vector. */ |
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eraS2c(r5, d5, p5e); |
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/* FK5 to Hipparcos orientation matrix and spin vector. */ |
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eraFk5hip(r5h, s5h); |
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/* Accumulated Hipparcos wrt FK5 spin over that interval. */ |
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eraSxp(t, s5h, vst); |
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/* Express the accumulated spin as a rotation matrix. */ |
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eraRv2m(vst, rst); |
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/* Derotate the vector's FK5 axes back to date. */ |
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eraTrxp(rst, p5e, p5); |
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/* Rotate the vector into the Hipparcos system. */ |
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eraRxp(r5h, p5, ph); |
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/* Hipparcos vector to spherical. */ |
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eraC2s(ph, &w, dh); |
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*rh = eraAnp(w); |
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return; |
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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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*/ |