#include "sofa.h" void iauNut06a(double date1, double date2, double *dpsi, double *deps) /* ** - - - - - - - - - - ** i a u N u t 0 6 a ** - - - - - - - - - - ** ** IAU 2000A nutation with adjustments to match the IAU 2006 ** precession. ** ** Given: ** date1,date2 double TT as a 2-part Julian Date (Note 1) ** ** Returned: ** dpsi,deps double nutation, luni-solar + planetary (Note 2) ** ** Status: canonical model. ** ** 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 in longitude and obliquity are in radians ** and with respect to the mean equinox and ecliptic of date, ** IAU 2006 precession model (Hilton et al. 2006, Capitaine et al. ** 2005). ** ** 3) The function first computes the IAU 2000A nutation, then applies ** adjustments for (i) the consequences of the change in obliquity ** from the IAU 1980 ecliptic to the IAU 2006 ecliptic and (ii) the ** secular variation in the Earth's dynamical form factor J2. ** ** 4) The present function provides classical nutation, complementing ** the IAU 2000 frame bias and IAU 2006 precession. It delivers a ** pole which is at current epochs accurate to a few tens of ** microarcseconds, apart from the free core nutation. ** ** Called: ** iauNut00a nutation, IAU 2000A ** ** References: ** ** Chapront, J., Chapront-Touze, M. & Francou, G. 2002, ** Astron.Astrophys. 387, 700 ** ** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977, ** Astron.Astrophys. 58, 1-16 ** ** Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res. ** 107, B4. The MHB_2000 code itself was obtained on 9th September ** 2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A. ** ** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., ** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 ** ** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, ** Astron.Astrophys.Supp.Ser. 135, 111 ** ** Wallace, P.T., "Software for Implementing the IAU 2000 ** Resolutions", in IERS Workshop 5.1 (2002) ** ** This revision: 2013 June 18 ** ** SOFA release 2018-01-30 ** ** Copyright (C) 2018 IAU SOFA Board. See notes at end. */ { double t, fj2, dp, de; /* Interval between fundamental date J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Factor correcting for secular variation of J2. */ fj2 = -2.7774e-6 * t; /* Obtain IAU 2000A nutation. */ iauNut00a(date1, date2, &dp, &de); /* Apply P03 adjustments (Wallace & Capitaine, 2006, Eqs.5). */ *dpsi = dp + dp * (0.4697e-6 + fj2); *deps = de + de * fj2; return; /*---------------------------------------------------------------------- ** ** Copyright (C) 2018 ** Standards Of Fundamental Astronomy Board ** of the International Astronomical Union. ** ** ===================== ** SOFA Software License ** ===================== ** ** NOTICE TO USER: ** ** BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND ** CONDITIONS WHICH APPLY TO ITS USE. ** ** 1. The Software is owned by the IAU SOFA Board ("SOFA"). ** ** 2. Permission is granted to anyone to use the SOFA software for any ** purpose, including commercial applications, free of charge and ** without payment of royalties, subject to the conditions and ** restrictions listed below. ** ** 3. You (the user) may copy and distribute SOFA source code to others, ** and use and adapt its code and algorithms in your own software, ** on a world-wide, royalty-free basis. 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