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#include "erfa.h" |
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void eraAb(double pnat[3], double v[3], double s, double bm1, |
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double ppr[3]) |
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/* |
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** - - - - - - |
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** e r a A b |
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** - - - - - - |
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** |
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** Apply aberration to transform natural direction into proper |
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** direction. |
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** |
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** Given: |
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** pnat double[3] natural direction to the source (unit vector) |
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** v double[3] observer barycentric velocity in units of c |
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** s double distance between the Sun and the observer (au) |
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** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor |
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** |
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** Returned: |
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** ppr double[3] proper direction to source (unit vector) |
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** |
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** Notes: |
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** |
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** 1) The algorithm is based on Expr. (7.40) in the Explanatory |
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** Supplement (Urban & Seidelmann 2013), but with the following |
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** changes: |
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** |
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** o Rigorous rather than approximate normalization is applied. |
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** |
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** o The gravitational potential term from Expr. (7) in |
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** Klioner (2003) is added, taking into account only the Sun's |
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** contribution. This has a maximum effect of about |
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** 0.4 microarcsecond. |
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** |
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** 2) In almost all cases, the maximum accuracy will be limited by the |
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** supplied velocity. For example, if the ERFA eraEpv00 function is |
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** used, errors of up to 5 microarcseconds could occur. |
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** |
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** References: |
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** |
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** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to |
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** the Astronomical Almanac, 3rd ed., University Science Books |
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** (2013). |
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** |
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** Klioner, Sergei A., "A practical relativistic model for micro- |
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** arcsecond astrometry in space", Astr. J. 125, 1580-1597 (2003). |
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** |
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** Called: |
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** eraPdp scalar product of two p-vectors |
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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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int i; |
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double pdv, w1, w2, r2, w, p[3], r; |
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pdv = eraPdp(pnat, v); |
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w1 = 1.0 + pdv/(1.0 + bm1); |
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w2 = ERFA_SRS/s; |
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r2 = 0.0; |
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for (i = 0; i < 3; i++) { |
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w = pnat[i]*bm1 + w1*v[i] + w2*(v[i] - pdv*pnat[i]); |
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p[i] = w; |
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r2 = r2 + w*w; |
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} |
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r = sqrt(r2); |
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for (i = 0; i < 3; i++) { |
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ppr[i] = p[i]/r; |
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} |
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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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*/ |