Planetary Perturbations of the Moon in ELP 2000

Statistics – Computation

Scientific paper

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Moon, Planets, Perturbations, Theoretical Studies, Techniques, Data, Mathematical Models, Main Problem, Comparisons, Venus, Mars, Motion

Scientific paper

A new solution for the planetary perturbations of the Moon is being built in the frame of ELP 2000, using Bretagnon's planetary theories, and achieved at the first order. It contains the two actions commonly distinguished: direct and indirect. The internal precision of computation is 2×10-6 arcsec. First-order planetary perturbations, in the direct case (Venus & Mars), have been compared to Standaert's solution. The major discrepancy reaches 70 cm in the longitude of Venus. Perturbations of the second order with respect to planetary masses, have been undertaken and illustrations are given. Finally, new values for the perigee and node motions are proposed.

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