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#include "erfa.h" |
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double eraGmst06(double uta, double utb, double tta, double ttb) |
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/* |
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** - - - - - - - - - - |
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** e r a G m s t 0 6 |
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** - - - - - - - - - - |
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** |
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** Greenwich mean sidereal time (consistent with IAU 2006 precession). |
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** |
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** Given: |
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** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2) |
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** tta,ttb double TT as a 2-part Julian Date (Notes 1,2) |
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** |
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** Returned (function value): |
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** double Greenwich mean sidereal time (radians) |
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** |
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** Notes: |
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** |
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** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both |
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** Julian Dates, apportioned in any convenient way between the |
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** argument pairs. For example, JD=2450123.7 could be expressed in |
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** any of these ways, among others: |
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** |
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** Part A Part B |
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** |
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** 2450123.7 0.0 (JD method) |
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** 2451545.0 -1421.3 (J2000 method) |
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** 2400000.5 50123.2 (MJD method) |
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** 2450123.5 0.2 (date & time method) |
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** |
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** The JD method is the most natural and convenient to use in |
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** cases where the loss of several decimal digits of resolution |
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** is acceptable (in the case of UT; the TT is not at all critical |
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** in this respect). The J2000 and MJD methods are good compromises |
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** between resolution and convenience. For UT, the date & time |
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** method is best matched to the algorithm that is used by the Earth |
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** rotation angle function, called internally: maximum precision is |
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** delivered when the uta argument is for 0hrs UT1 on the day in |
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** question and the utb argument lies in the range 0 to 1, or vice |
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** versa. |
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** |
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** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation |
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** and TT to predict the effects of precession. If UT1 is used for |
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** both purposes, errors of order 100 microarcseconds result. |
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** |
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** 3) This GMST is compatible with the IAU 2006 precession and must not |
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** be used with other precession models. |
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** |
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** 4) The result is returned in the range 0 to 2pi. |
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** |
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** Called: |
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** eraEra00 Earth rotation angle, IAU 2000 |
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** eraAnp normalize angle into range 0 to 2pi |
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** |
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** Reference: |
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** |
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** Capitaine, N., Wallace, P.T. & Chapront, J., 2005, |
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** Astron.Astrophys. 432, 355 |
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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 t, gmst; |
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/* TT Julian centuries since J2000.0. */ |
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t = ((tta - ERFA_DJ00) + ttb) / ERFA_DJC; |
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/* Greenwich mean sidereal time, IAU 2006. */ |
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gmst = eraAnp(eraEra00(uta, utb) + |
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( 0.014506 + |
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( 4612.156534 + |
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( 1.3915817 + |
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( -0.00000044 + |
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( -0.000029956 + |
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( -0.0000000368 ) |
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* t) * t) * t) * t) * t) * ERFA_DAS2R); |
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return gmst; |
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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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*/ |