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use crate*;
use *;
/// The equation of the equinoxes, compatible with IAU 2000 resolutions,
/// given the nutation in longitude and the mean obliquity.
///
/// Given:
/// * date1,date2 TT as a 2-part Julian Date (Note 1)
/// * epsa mean obliquity (Note 2)
/// * dpsi nutation in longitude (Note 3)
///
/// Returned (function value):
/// * equation of the equinoxes (Note 4)
///
/// # 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 obliquity, in radians, is mean of date.
///
/// 3) The result, which is in radians, operates in the following sense:
///
/// Greenwich apparent ST = GMST + equation of the equinoxes
///
/// 4) The result is compatible with the IAU 2000 resolutions. For
/// further details, see IERS Conventions 2003 and Capitaine et al.
/// (2002).
///
/// # Called:
/// * eect00 equation of the equinoxes complementary terms
///
/// # References:
/// * Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
/// implement the IAU 2000 definition of UT1", Astronomy &
/// Astrophysics, 406, 1135-1149 (2003)
/// * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
/// IERS Technical Note No. 32, BKG (2004)
///
/// This revision: 2021 May 11