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#include "erfa.h" |
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void eraTpsts(double xi, double eta, double a0, double b0, |
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double *a, double *b) |
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/* |
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** - - - - - - - - - |
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** e r a T p s t s |
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** - - - - - - - - - |
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** |
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** In the tangent plane projection, given the star's rectangular |
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** coordinates and the spherical coordinates of the tangent point, |
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** solve for the spherical coordinates of the star. |
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** |
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** Given: |
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** xi,eta double rectangular coordinates of star image (Note 2) |
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** a0,b0 double tangent point's spherical coordinates |
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** |
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** Returned: |
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** *a,*b double star's spherical coordinates |
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** |
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** 1) The tangent plane projection is also called the "gnomonic |
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** projection" and the "central projection". |
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** |
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** 2) The eta axis points due north in the adopted coordinate system. |
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** If the spherical coordinates are observed (RA,Dec), the tangent |
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** plane coordinates (xi,eta) are conventionally called the |
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** "standard coordinates". If the spherical coordinates are with |
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** respect to a right-handed triad, (xi,eta) are also right-handed. |
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** The units of (xi,eta) are, effectively, radians at the tangent |
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** point. |
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** |
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** 3) All angular arguments are in radians. |
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** |
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** 4) This function is a member of the following set: |
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** |
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** spherical vector solve for |
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** |
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** eraTpxes eraTpxev xi,eta |
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** > eraTpsts < eraTpstv star |
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** eraTpors eraTporv origin |
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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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** |
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** References: |
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** |
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** Calabretta M.R. & Greisen, E.W., 2002, "Representations of |
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** celestial coordinates in FITS", Astron.Astrophys. 395, 1077 |
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** |
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** Green, R.M., "Spherical Astronomy", Cambridge University Press, |
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** 1987, Chapter 13. |
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** |
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** Copyright (C) 2013-2019, 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 sb0, cb0, d; |
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0
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sb0 = sin(b0); |
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0
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cb0 = cos(b0); |
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0
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d = cb0 - eta*sb0; |
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0
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*a = eraAnp(atan2(xi,d) + a0); |
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0
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*b = atan2(sb0+eta*cb0, sqrt(xi*xi+d*d)); |
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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) 2013-2019, 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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*/ |