Direct perturbations of the planets on the moon's motion
Abstract
A method of computing the effects of planetary perturbations on the moon's motion is presented. An algorithm is formulated based upon the Lie transform method, implemented by Henrard's semianalytical lunar ephemeris as the solution of the main problem and Bretagnon's planetary theory. The solution accuracy is expected to be about 0.001 arcsec for periods up to 2000 yr. The results confirm Chapron's data (1976) showing that the phase of all odd terms in D is shifted by 180 deg, which can cause errors in longitude of 400 m.
 Publication:

Celestial Mechanics
 Pub Date:
 November 1980
 DOI:
 10.1007/BF01306910
 Bibcode:
 1980CeMec..22..357S
 Keywords:

 Earth Orbits;
 Four Body Problem;
 Gravitational Effects;
 Orbit Perturbation;
 Selenology;
 Algorithms;
 EarthMoon System;
 Ephemeris Time;
 Lie Groups;
 Numerical Integration;
 Periodic Functions;
 Astronomy