Statistics – Computation
Scientific paper
Jan 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..26..113s&link_type=abstract
Celestial Mechanics, Volume 26, Issue 1, pp.113-119
Statistics
Computation
3
Moon, Motion, Perturbations, Venus, Mars, Computer Techniques, Analysis, Mathematical Models, Amplitude, Resonance
Scientific paper
In a previous paper (Standaert, 1980) we have described an algorithm to compute the direct perturbation of the planets on the Moon's motion. A short summary of this algorithm is presented in Section 2 of this paper. Our first results permit us to present some complements and comments about these computations. The algorithm is based upon the Lie transform method and is implemented using Chapront's ELP as solution of the main problem with the partial derivatives of Henrard's Semi-Analytical Lunar Ephemeris (SALE), and Bretagnon's mean Keplerian orbit. An analysis of truncation errors in intermediate results is presented including the resonance effects. The final accuracy of the solution is intended to be about 0″.0005 for terms of period up to 2000 yr in the case of Venus and up to 5000 yr in the case of Mars. The effects of second-order terms in the masses are investigated. Only those depending upon the second derivatives of the mean motions are found to be significant to the given accuracy and are included.
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