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gmst06.c
Go to the documentation of this file.
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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) 2013-2015, 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) 2013-2015, 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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*/
ERFA_DJ00
#define ERFA_DJ00
Definition:
erfam.h:87
eraGmst06
double eraGmst06(double uta, double utb, double tta, double ttb)
Definition:
gmst06.c:3
ERFA_DAS2R
#define ERFA_DAS2R
Definition:
erfam.h:60
eraEra00
double eraEra00(double dj1, double dj2)
Definition:
era00.c:3
ERFA_DJC
#define ERFA_DJC
Definition:
erfam.h:81
erfa.h
t
TT t
Definition:
test_client.c:26
eraAnp
double eraAnp(double a)
Definition:
anp.c:3
erfa
src
gmst06.c
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