Lunar ephemeris long-term development (Kudryavtsev, 2007)

Details Lunar ephemeris long-term development (Kudryavtsev, 2007) Lunar ephemeris long-term development (Kudryavtsev, 2007)

Jun 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007ycat..34711069k&link_type=abstract

VizieR On-line Data Catalog: J/A+A/471/1069. Originally published in: 2007A&A...471.1069K

Computer Science

Ephemerides, Solar System

Scientific paper

The files contain numerical coefficients of the Poisson series representing the geocentric ecliptic spherical coordinates of the Moon R, V and U where R is the geocentric distance, V is the spherical longitude, U is the spherical latitude. The series are obtained by spectral analysis of the long-term numerical ephemeris of the Moon LE-405/406 (Standish 1998: JPL IOM 312.F-98-048).
There are two versions of the Poisson series for lunar coordinates R, V, U: - the complete series, LEA-406a, include 42270 terms of minimal amplitude equivalent to 1 cm and are valid over 1500-2500. - the simplified series, LEA-406b, include 7952 terms of minimal amplitude equivalent to 1 m and are valid over 3000BC-3000AD.
The formulation of the series is: R = {SUM}[k=1,Records;i=0,2](Aki*ti*cos(Argki)) V = V0(t) + {SUM}[k=1,Records;i=0,2](Aki*ti*sin(Argki)) U = {SUM}[k=1,Records;i=0,2](Aki*ti*sin(Argki))
where
t is the time (TDB) in thousands of Julian years from J2000: t=(JulianDate-2451545.0)/365250.0;
V0(t) is the mean longitude of the Moon referred to the moving ecliptic and mean equinox of date as given by Simon et al. (1994A&A..282..663S) [or use Eq.(37) of the paper];
Aki is the amplitude of the "k"th Poisson term of the order i;
Argki is the four-degree time polynomial argument defined as linear combination of integer multipliers of 14 variables (Argj, j=1,14): Delaunay variables l, l', F, D; mean longitude of the ascending node of the Moon {Omega}; mean longitudes of eight major planets {lambda}pl; and the general precession in longitude pA. So that Argki={SUM}[j=1,14](mkj*Argj+phiki), where mkj are the integer multiplies and phiki are the phases. The expressions for Argj are given by Simon et al. (1994A&A..282..663S) [or use Eq.(38)-(51) of the paper].
The lunar coordinates R, V and U given by the series are referred to the moving ecliptic and mean equinox of date. Transformation of the coordinates to the reference frame of the numerical ephemeris LE-405/406 (defined by the mean geoequator and equinox of epoch J2000) should be performed with use of the precession quantities as given by Simon et al. (1994A&A..282..663S) [or use Eq.(52)-(55) of the paper].
A Fortran 77 subroutine for calculation of lunar rectangular coordinates on the base of the suggested Poisson series and two test examples are also given.
(6 data files).

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