DOUBLE PRECISION FUNCTION iau_GMST06 ( UTA, UTB, TTA, TTB ) *+ * - - - - - - - - - - - * i a u _ G M S T 0 6 * - - - - - - - - - - - * * Greenwich mean sidereal time (consistent with IAU 2006 precession). * * This routine is part of the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * * Status: canonical model. * * Given: * UTA,UTB d UT1 as a 2-part Julian Date (Notes 1,2) * TTA,TTB d TT as a 2-part Julian Date (Notes 1,2) * * Returned: * iau_GMST06 d 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 * * 2450123.7D0 0D0 (JD method) * 2451545D0 -1421.3D0 (J2000 method) * 2400000.5D0 50123.2D0 (MJD method) * 2450123.5D0 0.2D0 (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 routine, called internally: maximum accuracy (or, * at least, minimum noise) 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: * iau_ERA00 Earth rotation angle, IAU 2000 * iau_ANP normalize angle into range 0 to 2pi * * Reference: * * Capitaine, N., Wallace, P.T. & Chapront, J., 2005, * Astron.Astrophys. 432, 355 * * This revision: 2020 November 17 * * SOFA release 2021-01-25 * * Copyright (C) 2021 IAU SOFA Board. See notes at end. * *----------------------------------------------------------------------- IMPLICIT NONE DOUBLE PRECISION UTA, UTB, TTA, TTB * Arcseconds to radians DOUBLE PRECISION DAS2R PARAMETER ( DAS2R = 4.848136811095359935899141D-6 ) * Reference epoch (J2000.0), JD DOUBLE PRECISION DJ00 PARAMETER ( DJ00 = 2451545D0 ) * Days per Julian century DOUBLE PRECISION DJC PARAMETER ( DJC = 36525D0 ) DOUBLE PRECISION T DOUBLE PRECISION iau_ANP, iau_ERA00 * - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - * TT Julian centuries since J2000.0. T = ( ( TTA-DJ00 ) + TTB ) / DJC * Greenwich mean sidereal time, IAU 2006. iau_GMST06 = iau_ANP ( iau_ERA00 ( UTA, UTB ) + : ( 0.014506D0 + : ( 4612.156534D0 + : ( 1.3915817D0 + : ( - 0.00000044D0 + : ( - 0.000029956D0 + : ( - 0.0000000368D0 ) : * T ) * T ) * T ) * T ) * T ) * DAS2R ) * Finished. *+---------------------------------------------------------------------- * * Copyright (C) 2021 * Standards Of Fundamental Astronomy Board * of the International Astronomical Union. * * ===================== * SOFA Software License * ===================== * * NOTICE TO USER: * * BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND * CONDITIONS WHICH APPLY TO ITS USE. * * 1. The Software is owned by the IAU SOFA Board ("SOFA"). * * 2. Permission is granted to anyone to use the SOFA software for any * purpose, including commercial applications, free of charge and * without payment of royalties, subject to the conditions and * restrictions listed below. * * 3. You (the user) may copy and distribute SOFA source code to others, * and use and adapt its code and algorithms in your own software, * on a world-wide, royalty-free basis. That portion of your * distribution that does not consist of intact and unchanged copies * of SOFA source code files is a "derived work" that must comply * with the following requirements: * * a) Your work shall be marked or carry a statement that it * (i) uses routines and computations derived by you from * software provided by SOFA under license to you; and * (ii) does not itself constitute software provided by and/or * endorsed by SOFA. * * b) The source code of your derived work must contain descriptions * of how the derived work is based upon, contains and/or differs * from the original SOFA software. * * c) The names of all routines in your derived work shall not * include the prefix "iau" or "sofa" or trivial modifications * thereof such as changes of case. * * d) The origin of the SOFA components of your derived work must * not be misrepresented; you must not claim that you wrote the * original software, nor file a patent application for SOFA * software or algorithms embedded in the SOFA software. * * e) These requirements must be reproduced intact in any source * distribution and shall apply to anyone to whom you have * granted a further right to modify the source code of your * derived work. * * Note that, as originally distributed, the SOFA software is * intended to be a definitive implementation of the IAU standards, * and consequently third-party modifications are discouraged. All * variations, no matter how minor, must be explicitly marked as * such, as explained above. * * 4. You shall not cause the SOFA software to be brought into * disrepute, either by misuse, or use for inappropriate tasks, or * by inappropriate modification. * * 5. The SOFA software is provided "as is" and SOFA makes no warranty * as to its use or performance. SOFA does not and cannot warrant * the performance or results which the user may obtain by using the * SOFA software. SOFA makes no warranties, express or implied, as * to non-infringement of third party rights, merchantability, or * fitness for any particular purpose. In no event will SOFA be * liable to the user for any consequential, incidental, or special * damages, including any lost profits or lost savings, even if a * SOFA representative has been advised of such damages, or for any * claim by any third party. * * 6. The provision of any version of the SOFA software under the terms * and conditions specified herein does not imply that future * versions will also be made available under the same terms and * conditions. * * In any published work or commercial product which uses the SOFA * software directly, acknowledgement (see www.iausofa.org) is * appreciated. * * Correspondence concerning SOFA software should be addressed as * follows: * * By email: sofa@ukho.gov.uk * By post: IAU SOFA Center * HM Nautical Almanac Office * UK Hydrographic Office * Admiralty Way, Taunton * Somerset, TA1 2DN * United Kingdom * *----------------------------------------------------------------------- END