#include "erfa.h" double eraGst00b(double uta, double utb) /* ** - - - - - - - - - - ** e r a G s t 0 0 b ** - - - - - - - - - - ** ** Greenwich apparent sidereal time (consistent with IAU 2000 ** resolutions but using the truncated nutation model IAU 2000B). ** ** Given: ** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) ** ** Returned (function value): ** double Greenwich apparent sidereal time (radians) ** ** Notes: ** ** 1) The UT1 date uta+utb is a Julian Date, apportioned in any ** convenient way between the argument pair. For example, ** JD=2450123.7 could be expressed in any of these ways, among ** others: ** ** uta utb ** ** 2450123.7 0.0 (JD method) ** 2451545.0 -1421.3 (J2000 method) ** 2400000.5 50123.2 (MJD method) ** 2450123.5 0.2 (date & time method) ** ** The JD method is the most natural and convenient to use in cases ** where the loss of several decimal digits of resolution is ** acceptable. The J2000 and MJD methods are good compromises ** between resolution and convenience. For UT, the date & time ** method is best matched to the algorithm that is used by the Earth ** Rotation Angle function, called internally: maximum precision is ** delivered when the uta argument is for 0hrs UT1 on the day in ** question and the utb argument lies in the range 0 to 1, or vice ** versa. ** ** 2) The result is compatible with the IAU 2000 resolutions, except ** that accuracy has been compromised for the sake of speed and ** convenience in two respects: ** ** . UT is used instead of TDB (or TT) to compute the precession ** component of GMST and the equation of the equinoxes. This ** results in errors of order 0.1 mas at present. ** ** . The IAU 2000B abridged nutation model (McCarthy & Luzum, 2001) ** is used, introducing errors of up to 1 mas. ** ** 3) This GAST is compatible with the IAU 2000 resolutions and must be ** used only in conjunction with other IAU 2000 compatible ** components such as precession-nutation. ** ** 4) The result is returned in the range 0 to 2pi. ** ** 5) The algorithm is from Capitaine et al. (2003) and IERS ** Conventions 2003. ** ** Called: ** eraGmst00 Greenwich mean sidereal time, IAU 2000 ** eraEe00b equation of the equinoxes, IAU 2000B ** eraAnp normalize angle into range 0 to 2pi ** ** References: ** ** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to ** implement the IAU 2000 definition of UT1", Astronomy & ** Astrophysics, 406, 1135-1149 (2003) ** ** McCarthy, D.D. & Luzum, B.J., "An abridged model of the ** precession-nutation of the celestial pole", Celestial Mechanics & ** Dynamical Astronomy, 85, 37-49 (2003) ** ** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), ** IERS Technical Note No. 32, BKG (2004) ** ** Copyright (C) 2013-2016, NumFOCUS Foundation. ** Derived, with permission, from the SOFA library. See notes at end of file. */ { double gmst00, ee00b, gst; gmst00 = eraGmst00(uta, utb, uta, utb); ee00b = eraEe00b(uta, utb); gst = eraAnp(gmst00 + ee00b); return gst; } /*---------------------------------------------------------------------- ** ** ** Copyright (C) 2013-2016, NumFOCUS Foundation. ** All rights reserved. ** ** This library is derived, with permission, from the International ** Astronomical Union's "Standards of Fundamental Astronomy" library, ** available from http://www.iausofa.org. ** ** The ERFA version is intended to retain identical functionality to ** the SOFA library, but made distinct through different function and ** file names, as set out in the SOFA license conditions. The SOFA ** original has a role as a reference standard for the IAU and IERS, ** and consequently redistribution is permitted only in its unaltered ** state. The ERFA version is not subject to this restriction and ** therefore can be included in distributions which do not support the ** concept of "read only" software. ** ** Although the intent is to replicate the SOFA API (other than ** replacement of prefix names) and results (with the exception of ** bugs; any that are discovered will be fixed), SOFA is not ** responsible for any errors found in this version of the library. ** ** If you wish to acknowledge the SOFA heritage, please acknowledge ** that you are using a library derived from SOFA, rather than SOFA ** itself. ** ** ** TERMS AND CONDITIONS ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** 1 Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** 2 Redistributions in binary form must reproduce the above copyright ** notice, this list of conditions and the following disclaimer in ** the documentation and/or other materials provided with the ** distribution. ** ** 3 Neither the name of the Standards Of Fundamental Astronomy Board, ** the International Astronomical Union nor the names of its ** contributors may be used to endorse or promote products derived ** from this software without specific prior written permission. ** ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 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