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Diffstat (limited to 'ast/erfa/nut80.c')
| -rw-r--r-- | ast/erfa/nut80.c | 334 |
1 files changed, 0 insertions, 334 deletions
diff --git a/ast/erfa/nut80.c b/ast/erfa/nut80.c deleted file mode 100644 index 5ffb23c..0000000 --- a/ast/erfa/nut80.c +++ /dev/null @@ -1,334 +0,0 @@ -#include "erfa.h" - -void eraNut80(double date1, double date2, double *dpsi, double *deps) -/* -** - - - - - - - - - -** e r a N u t 8 0 -** - - - - - - - - - -** -** Nutation, IAU 1980 model. -** -** Given: -** date1,date2 double TT as a 2-part Julian Date (Note 1) -** -** Returned: -** dpsi double nutation in longitude (radians) -** deps double nutation in obliquity (radians) -** -** Notes: -** -** 1) The TT date date1+date2 is a Julian Date, apportioned in any -** convenient way between the two arguments. For example, -** JD(TT)=2450123.7 could be expressed in any of these ways, -** among others: -** -** date1 date2 -** -** 2450123.7 0.0 (JD method) -** 2451545.0 -1421.3 (J2000 method) -** 2400000.5 50123.2 (MJD method) -** 2450123.5 0.2 (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. The J2000 method is best matched to the way -** the argument is handled internally and will deliver the -** optimum resolution. The MJD method and the date & time methods -** are both good compromises between resolution and convenience. -** -** 2) The nutation components are with respect to the ecliptic of -** date. -** -** Called: -** eraAnpm normalize angle into range +/- pi -** -** Reference: -** -** Explanatory Supplement to the Astronomical Almanac, -** P. Kenneth Seidelmann (ed), University Science Books (1992), -** Section 3.222 (p111). -** -** Copyright (C) 2013-2016, NumFOCUS Foundation. -** Derived, with permission, from the SOFA library. See notes at end of file. -*/ -{ - double t, el, elp, f, d, om, dp, de, arg, s, c; - int j; - -/* Units of 0.1 milliarcsecond to radians */ - const double U2R = ERFA_DAS2R / 1e4; - -/* ------------------------------------------------ */ -/* Table of multiples of arguments and coefficients */ -/* ------------------------------------------------ */ - -/* The units for the sine and cosine coefficients are 0.1 mas and */ -/* the same per Julian century */ - - static const struct { - int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */ - double sp,spt; /* longitude sine, 1 and t coefficients */ - double ce,cet; /* obliquity cosine, 1 and t coefficients */ - } x[] = { - - /* 1-10 */ - { 0, 0, 0, 0, 1, -171996.0, -174.2, 92025.0, 8.9 }, - { 0, 0, 0, 0, 2, 2062.0, 0.2, -895.0, 0.5 }, - { -2, 0, 2, 0, 1, 46.0, 0.0, -24.0, 0.0 }, - { 2, 0, -2, 0, 0, 11.0, 0.0, 0.0, 0.0 }, - { -2, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 }, - { 1, -1, 0, -1, 0, -3.0, 0.0, 0.0, 0.0 }, - { 0, -2, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 }, - { 2, 0, -2, 0, 1, 1.0, 0.0, 0.0, 0.0 }, - { 0, 0, 2, -2, 2, -13187.0, -1.6, 5736.0, -3.1 }, - { 0, 1, 0, 0, 0, 1426.0, -3.4, 54.0, -0.1 }, - - /* 11-20 */ - { 0, 1, 2, -2, 2, -517.0, 1.2, 224.0, -0.6 }, - { 0, -1, 2, -2, 2, 217.0, -0.5, -95.0, 0.3 }, - { 0, 0, 2, -2, 1, 129.0, 0.1, -70.0, 0.0 }, - { 2, 0, 0, -2, 0, 48.0, 0.0, 1.0, 0.0 }, - { 0, 0, 2, -2, 0, -22.0, 0.0, 0.0, 0.0 }, - { 0, 2, 0, 0, 0, 17.0, -0.1, 0.0, 0.0 }, - { 0, 1, 0, 0, 1, -15.0, 0.0, 9.0, 0.0 }, - { 0, 2, 2, -2, 2, -16.0, 0.1, 7.0, 0.0 }, - { 0, -1, 0, 0, 1, -12.0, 0.0, 6.0, 0.0 }, - { -2, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 }, - - /* 21-30 */ - { 0, -1, 2, -2, 1, -5.0, 0.0, 3.0, 0.0 }, - { 2, 0, 0, -2, 1, 4.0, 0.0, -2.0, 0.0 }, - { 0, 1, 2, -2, 1, 4.0, 0.0, -2.0, 0.0 }, - { 1, 0, 0, -1, 0, -4.0, 0.0, 0.0, 0.0 }, - { 2, 1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 }, - { 0, 0, -2, 2, 1, 1.0, 0.0, 0.0, 0.0 }, - { 0, 1, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 }, - { 0, 1, 0, 0, 2, 1.0, 0.0, 0.0, 0.0 }, - { -1, 0, 0, 1, 1, 1.0, 0.0, 0.0, 0.0 }, - { 0, 1, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 }, - - /* 31-40 */ - { 0, 0, 2, 0, 2, -2274.0, -0.2, 977.0, -0.5 }, - { 1, 0, 0, 0, 0, 712.0, 0.1, -7.0, 0.0 }, - { 0, 0, 2, 0, 1, -386.0, -0.4, 200.0, 0.0 }, - { 1, 0, 2, 0, 2, -301.0, 0.0, 129.0, -0.1 }, - { 1, 0, 0, -2, 0, -158.0, 0.0, -1.0, 0.0 }, - { -1, 0, 2, 0, 2, 123.0, 0.0, -53.0, 0.0 }, - { 0, 0, 0, 2, 0, 63.0, 0.0, -2.0, 0.0 }, - { 1, 0, 0, 0, 1, 63.0, 0.1, -33.0, 0.0 }, - { -1, 0, 0, 0, 1, -58.0, -0.1, 32.0, 0.0 }, - { -1, 0, 2, 2, 2, -59.0, 0.0, 26.0, 0.0 }, - - /* 41-50 */ - { 1, 0, 2, 0, 1, -51.0, 0.0, 27.0, 0.0 }, - { 0, 0, 2, 2, 2, -38.0, 0.0, 16.0, 0.0 }, - { 2, 0, 0, 0, 0, 29.0, 0.0, -1.0, 0.0 }, - { 1, 0, 2, -2, 2, 29.0, 0.0, -12.0, 0.0 }, - { 2, 0, 2, 0, 2, -31.0, 0.0, 13.0, 0.0 }, - { 0, 0, 2, 0, 0, 26.0, 0.0, -1.0, 0.0 }, - { -1, 0, 2, 0, 1, 21.0, 0.0, -10.0, 0.0 }, - { -1, 0, 0, 2, 1, 16.0, 0.0, -8.0, 0.0 }, - { 1, 0, 0, -2, 1, -13.0, 0.0, 7.0, 0.0 }, - { -1, 0, 2, 2, 1, -10.0, 0.0, 5.0, 0.0 }, - - /* 51-60 */ - { 1, 1, 0, -2, 0, -7.0, 0.0, 0.0, 0.0 }, - { 0, 1, 2, 0, 2, 7.0, 0.0, -3.0, 0.0 }, - { 0, -1, 2, 0, 2, -7.0, 0.0, 3.0, 0.0 }, - { 1, 0, 2, 2, 2, -8.0, 0.0, 3.0, 0.0 }, - { 1, 0, 0, 2, 0, 6.0, 0.0, 0.0, 0.0 }, - { 2, 0, 2, -2, 2, 6.0, 0.0, -3.0, 0.0 }, - { 0, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 }, - { 0, 0, 2, 2, 1, -7.0, 0.0, 3.0, 0.0 }, - { 1, 0, 2, -2, 1, 6.0, 0.0, -3.0, 0.0 }, - { 0, 0, 0, -2, 1, -5.0, 0.0, 3.0, 0.0 }, - - /* 61-70 */ - { 1, -1, 0, 0, 0, 5.0, 0.0, 0.0, 0.0 }, - { 2, 0, 2, 0, 1, -5.0, 0.0, 3.0, 0.0 }, - { 0, 1, 0, -2, 0, -4.0, 0.0, 0.0, 0.0 }, - { 1, 0, -2, 0, 0, 4.0, 0.0, 0.0, 0.0 }, - { 0, 0, 0, 1, 0, -4.0, 0.0, 0.0, 0.0 }, - { 1, 1, 0, 0, 0, -3.0, 0.0, 0.0, 0.0 }, - { 1, 0, 2, 0, 0, 3.0, 0.0, 0.0, 0.0 }, - { 1, -1, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 }, - { -1, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 }, - { -2, 0, 0, 0, 1, -2.0, 0.0, 1.0, 0.0 }, - - /* 71-80 */ - { 3, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 }, - { 0, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 }, - { 1, 1, 2, 0, 2, 2.0, 0.0, -1.0, 0.0 }, - { -1, 0, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 }, - { 2, 0, 0, 0, 1, 2.0, 0.0, -1.0, 0.0 }, - { 1, 0, 0, 0, 2, -2.0, 0.0, 1.0, 0.0 }, - { 3, 0, 0, 0, 0, 2.0, 0.0, 0.0, 0.0 }, - { 0, 0, 2, 1, 2, 2.0, 0.0, -1.0, 0.0 }, - { -1, 0, 0, 0, 2, 1.0, 0.0, -1.0, 0.0 }, - { 1, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 }, - - /* 81-90 */ - { -2, 0, 2, 2, 2, 1.0, 0.0, -1.0, 0.0 }, - { -1, 0, 2, 4, 2, -2.0, 0.0, 1.0, 0.0 }, - { 2, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 }, - { 1, 1, 2, -2, 2, 1.0, 0.0, -1.0, 0.0 }, - { 1, 0, 2, 2, 1, -1.0, 0.0, 1.0, 0.0 }, - { -2, 0, 2, 4, 2, -1.0, 0.0, 1.0, 0.0 }, - { -1, 0, 4, 0, 2, 1.0, 0.0, 0.0, 0.0 }, - { 1, -1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 }, - { 2, 0, 2, -2, 1, 1.0, 0.0, -1.0, 0.0 }, - { 2, 0, 2, 2, 2, -1.0, 0.0, 0.0, 0.0 }, - - /* 91-100 */ - { 1, 0, 0, 2, 1, -1.0, 0.0, 0.0, 0.0 }, - { 0, 0, 4, -2, 2, 1.0, 0.0, 0.0, 0.0 }, - { 3, 0, 2, -2, 2, 1.0, 0.0, 0.0, 0.0 }, - { 1, 0, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 }, - { 0, 1, 2, 0, 1, 1.0, 0.0, 0.0, 0.0 }, - { -1, -1, 0, 2, 1, 1.0, 0.0, 0.0, 0.0 }, - { 0, 0, -2, 0, 1, -1.0, 0.0, 0.0, 0.0 }, - { 0, 0, 2, -1, 2, -1.0, 0.0, 0.0, 0.0 }, - { 0, 1, 0, 2, 0, -1.0, 0.0, 0.0, 0.0 }, - { 1, 0, -2, -2, 0, -1.0, 0.0, 0.0, 0.0 }, - - /* 101-106 */ - { 0, -1, 2, 0, 1, -1.0, 0.0, 0.0, 0.0 }, - { 1, 1, 0, -2, 1, -1.0, 0.0, 0.0, 0.0 }, - { 1, 0, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 }, - { 2, 0, 0, 2, 0, 1.0, 0.0, 0.0, 0.0 }, - { 0, 0, 2, 4, 2, -1.0, 0.0, 0.0, 0.0 }, - { 0, 1, 0, 1, 0, 1.0, 0.0, 0.0, 0.0 } - }; - -/* Number of terms in the series */ - const int NT = (int) (sizeof x / sizeof x[0]); - -/*--------------------------------------------------------------------*/ - -/* Interval between fundamental epoch J2000.0 and given date (JC). */ - t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; - -/* --------------------- */ -/* Fundamental arguments */ -/* --------------------- */ - -/* Mean longitude of Moon minus mean longitude of Moon's perigee. */ - el = eraAnpm( - (485866.733 + (715922.633 + (31.310 + 0.064 * t) * t) * t) - * ERFA_DAS2R + fmod(1325.0 * t, 1.0) * ERFA_D2PI); - -/* Mean longitude of Sun minus mean longitude of Sun's perigee. */ - elp = eraAnpm( - (1287099.804 + (1292581.224 + (-0.577 - 0.012 * t) * t) * t) - * ERFA_DAS2R + fmod(99.0 * t, 1.0) * ERFA_D2PI); - -/* Mean longitude of Moon minus mean longitude of Moon's node. */ - f = eraAnpm( - (335778.877 + (295263.137 + (-13.257 + 0.011 * t) * t) * t) - * ERFA_DAS2R + fmod(1342.0 * t, 1.0) * ERFA_D2PI); - -/* Mean elongation of Moon from Sun. */ - d = eraAnpm( - (1072261.307 + (1105601.328 + (-6.891 + 0.019 * t) * t) * t) - * ERFA_DAS2R + fmod(1236.0 * t, 1.0) * ERFA_D2PI); - -/* Longitude of the mean ascending node of the lunar orbit on the */ -/* ecliptic, measured from the mean equinox of date. */ - om = eraAnpm( - (450160.280 + (-482890.539 + (7.455 + 0.008 * t) * t) * t) - * ERFA_DAS2R + fmod(-5.0 * t, 1.0) * ERFA_D2PI); - -/* --------------- */ -/* Nutation series */ -/* --------------- */ - -/* Initialize nutation components. */ - dp = 0.0; - de = 0.0; - -/* Sum the nutation terms, ending with the biggest. */ - for (j = NT-1; j >= 0; j--) { - - /* Form argument for current term. */ - arg = (double)x[j].nl * el - + (double)x[j].nlp * elp - + (double)x[j].nf * f - + (double)x[j].nd * d - + (double)x[j].nom * om; - - /* Accumulate current nutation term. */ - s = x[j].sp + x[j].spt * t; - c = x[j].ce + x[j].cet * t; - if (s != 0.0) dp += s * sin(arg); - if (c != 0.0) de += c * cos(arg); - } - -/* Convert results from 0.1 mas units to radians. */ - *dpsi = dp * U2R; - *deps = de * U2R; - - return; - -} -/*---------------------------------------------------------------------- -** -** -** Copyright (C) 2013-2016, NumFOCUS Foundation. -** All rights reserved. -** -** This library is derived, with permission, from the International -** Astronomical Union's "Standards of Fundamental Astronomy" library, -** available from http://www.iausofa.org. -** -** The ERFA version is intended to retain identical functionality to -** the SOFA library, but made distinct through different function and -** file names, as set out in the SOFA license conditions. The SOFA -** original has a role as a reference standard for the IAU and IERS, -** and consequently redistribution is permitted only in its unaltered -** state. The ERFA version is not subject to this restriction and -** therefore can be included in distributions which do not support the -** concept of "read only" software. -** -** Although the intent is to replicate the SOFA API (other than -** replacement of prefix names) and results (with the exception of -** bugs; any that are discovered will be fixed), SOFA is not -** responsible for any errors found in this version of the library. -** -** If you wish to acknowledge the SOFA heritage, please acknowledge -** that you are using a library derived from SOFA, rather than SOFA -** itself. -** -** -** TERMS AND CONDITIONS -** -** Redistribution and use in source and binary forms, with or without -** modification, are permitted provided that the following conditions -** are met: -** -** 1 Redistributions of source code must retain the above copyright -** notice, this list of conditions and the following disclaimer. -** -** 2 Redistributions in binary form must reproduce the above copyright -** notice, this list of conditions and the following disclaimer in -** the documentation and/or other materials provided with the -** distribution. -** -** 3 Neither the name of the Standards Of Fundamental Astronomy Board, -** the International Astronomical Union nor the names of its -** contributors may be used to endorse or promote products derived -** from this software without specific prior written permission. -** -** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -** POSSIBILITY OF SUCH DAMAGE. -** -*/ |