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#include "erfa.h" |
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double eraEra00(double dj1, double dj2) |
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/* |
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** - - - - - - - - - |
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** e r a E r a 0 0 |
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** - - - - - - - - - |
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** |
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** Earth rotation angle (IAU 2000 model). |
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** |
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** Given: |
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** dj1,dj2 double UT1 as a 2-part Julian Date (see note) |
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** |
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** Returned (function value): |
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** double Earth rotation angle (radians), range 0-2pi |
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** |
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** Notes: |
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** |
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** 1) The UT1 date dj1+dj2 is a Julian Date, apportioned in any |
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** convenient way between the arguments dj1 and dj2. For example, |
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** JD(UT1)=2450123.7 could be expressed in any of these ways, |
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** among others: |
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** |
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** dj1 dj2 |
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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. The J2000 and MJD methods are good compromises |
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** between resolution and convenience. The date & time method is |
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** best matched to the algorithm used: maximum precision is |
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** delivered when the dj1 argument is for 0hrs UT1 on the day in |
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** question and the dj2 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 algorithm is adapted from Expression 22 of Capitaine et al. |
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** 2000. The time argument has been expressed in days directly, |
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** and, to retain precision, integer contributions have been |
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** eliminated. The same formulation is given in IERS Conventions |
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** (2003), Chap. 5, Eq. 14. |
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** |
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** Called: |
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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., Guinot B. and McCarthy D.D, 2000, Astron. |
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** Astrophys., 355, 398-405. |
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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) 2013-2020, 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 d1, d2, t, f, theta; |
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/* Days since fundamental epoch. */ |
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if (dj1 < dj2) { |
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d1 = dj1; |
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d2 = dj2; |
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} else { |
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d1 = dj2; |
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d2 = dj1; |
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} |
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t = d1 + (d2- ERFA_DJ00); |
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/* Fractional part of T (days). */ |
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f = fmod(d1, 1.0) + fmod(d2, 1.0); |
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/* Earth rotation angle at this UT1. */ |
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theta = eraAnp(ERFA_D2PI * (f + 0.7790572732640 |
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+ 0.00273781191135448 * t)); |
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return theta; |
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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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*/ |