#include "erfa.h" double eraGmst06(double uta, double utb, double tta, double ttb) /* ** - - - - - - - - - - ** e r a G m s t 0 6 ** - - - - - - - - - - ** ** Greenwich mean sidereal time (consistent with IAU 2006 precession). ** ** Given: ** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) ** tta,ttb double TT as a 2-part Julian Date (Notes 1,2) ** ** Returned (function value): ** double Greenwich mean sidereal time (radians) ** ** Notes: ** ** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both ** Julian Dates, apportioned in any convenient way between the ** argument pairs. For example, JD=2450123.7 could be expressed in ** any of these ways, among others: ** ** Part A Part B ** ** 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 (in the case of UT; the TT is not at all critical ** in this respect). 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) Both UT1 and TT are required, UT1 to predict the Earth rotation ** and TT to predict the effects of precession. If UT1 is used for ** both purposes, errors of order 100 microarcseconds result. ** ** 3) This GMST is compatible with the IAU 2006 precession and must not ** be used with other precession models. ** ** 4) The result is returned in the range 0 to 2pi. ** ** Called: ** eraEra00 Earth rotation angle, IAU 2000 ** eraAnp normalize angle into range 0 to 2pi ** ** Reference: ** ** Capitaine, N., Wallace, P.T. & Chapront, J., 2005, ** Astron.Astrophys. 432, 355 ** ** Copyright (C) 2013-2017, NumFOCUS Foundation. ** Derived, with permission, from the SOFA library. See notes at end of file. */ { double t, gmst; /* TT Julian centuries since J2000.0. */ t = ((tta - ERFA_DJ00) + ttb) / ERFA_DJC; /* Greenwich mean sidereal time, IAU 2006. */ gmst = eraAnp(eraEra00(uta, utb) + ( 0.014506 + ( 4612.156534 + ( 1.3915817 + ( -0.00000044 + ( -0.000029956 + ( -0.0000000368 ) * t) * t) * t) * t) * t) * ERFA_DAS2R); return gmst; } /*---------------------------------------------------------------------- ** ** ** Copyright (C) 2013-2017, 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. IN NO EVENT SHALL THE ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE ** POSSIBILITY OF SUCH DAMAGE. ** */