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#include "erfa.h" |
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double eraGst00b(double uta, double utb) |
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/* |
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** - - - - - - - - - - |
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** e r a G s t 0 0 b |
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** - - - - - - - - - - |
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** |
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** Greenwich apparent sidereal time (consistent with IAU 2000 |
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** resolutions but using the truncated nutation model IAU 2000B). |
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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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** |
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** Returned (function value): |
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** double Greenwich apparent sidereal time (radians) |
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** |
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** Notes: |
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** |
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** 1) The UT1 date uta+utb is a Julian Date, apportioned in any |
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** convenient way between the argument pair. For example, |
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** JD=2450123.7 could be expressed in any of these ways, among |
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** others: |
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** |
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** uta utb |
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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 cases |
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** where the loss of several decimal digits of resolution is |
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** acceptable. 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) The result is compatible with the IAU 2000 resolutions, except |
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** that accuracy has been compromised for the sake of speed and |
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** convenience in two respects: |
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** |
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** . UT is used instead of TDB (or TT) to compute the precession |
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** component of GMST and the equation of the equinoxes. This |
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** results in errors of order 0.1 mas at present. |
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** |
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** . The IAU 2000B abridged nutation model (McCarthy & Luzum, 2001) |
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** is used, introducing errors of up to 1 mas. |
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** |
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** 3) This GAST is compatible with the IAU 2000 resolutions and must be |
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** used only in conjunction with other IAU 2000 compatible |
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** components such as precession-nutation. |
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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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** 5) The algorithm is from Capitaine et al. (2003) and IERS |
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** Conventions 2003. |
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** |
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** Called: |
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** eraGmst00 Greenwich mean sidereal time, IAU 2000 |
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** eraEe00b equation of the equinoxes, IAU 2000B |
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** eraAnp normalize angle into range 0 to 2pi |
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** |
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** References: |
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** |
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** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to |
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** implement the IAU 2000 definition of UT1", Astronomy & |
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** Astrophysics, 406, 1135-1149 (2003) |
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** |
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** McCarthy, D.D. & Luzum, B.J., "An abridged model of the |
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** precession-nutation of the celestial pole", Celestial Mechanics & |
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** Dynamical Astronomy, 85, 37-49 (2003) |
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** |
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** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), |
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** IERS Technical Note No. 32, BKG (2004) |
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** |
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** Copyright (C) 2013-2019, 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 gmst00, ee00b, gst; |
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gmst00 = eraGmst00(uta, utb, uta, utb); |
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ee00b = eraEe00b(uta, utb); |
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gst = eraAnp(gmst00 + ee00b); |
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return gst; |
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} |
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/*---------------------------------------------------------------------- |
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** |
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** |
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** Copyright (C) 2013-2019, 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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*/ |