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#include "erfa.h" |
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double eraEors(double rnpb[3][3], double s) |
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/* |
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** - - - - - - - - |
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** e r a E o r s |
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** - - - - - - - - |
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** |
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** Equation of the origins, given the classical NPB matrix and the |
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** quantity s. |
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** |
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** Given: |
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** rnpb double[3][3] classical nutation x precession x bias matrix |
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** s double the quantity s (the CIO locator) |
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** |
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** Returned (function value): |
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** double the equation of the origins in radians. |
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** |
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** Notes: |
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** |
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** 1) The equation of the origins is the distance between the true |
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** equinox and the celestial intermediate origin and, equivalently, |
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** the difference between Earth rotation angle and Greenwich |
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** apparent sidereal time (ERA-GST). It comprises the precession |
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** (since J2000.0) in right ascension plus the equation of the |
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** equinoxes (including the small correction terms). |
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** |
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** 2) The algorithm is from Wallace & Capitaine (2006). |
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** |
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** References: |
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** |
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** Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 |
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** |
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** Wallace, P. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 |
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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 x, ax, xs, ys, zs, p, q, eo; |
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/* Evaluate Wallace & Capitaine (2006) expression (16). */ |
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x = rnpb[2][0]; |
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ax = x / (1.0 + rnpb[2][2]); |
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xs = 1.0 - ax * x; |
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ys = -ax * rnpb[2][1]; |
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zs = -x; |
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p = rnpb[0][0] * xs + rnpb[0][1] * ys + rnpb[0][2] * zs; |
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q = rnpb[1][0] * xs + rnpb[1][1] * ys + rnpb[1][2] * zs; |
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eo = ((p != 0) || (q != 0)) ? s - atan2(q, p) : s; |
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return eo; |
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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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*/ |