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Construction of a planetary solution with the help of an n-body program and analytical complements(*)

Published online by Cambridge University Press:  04 August 2017

P. Bretagnon
P. Bretagnon*
Affiliation:
Bureau des Longitudes, 77 Avenue Denfert Rochereau, F-75014 Paris France

Abstract

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Up to now we have been dealing with the construction of entirely analytical planetary theories such as VS0P82 (Bretagnon, 1982) and T0P82 (Simon, 1983). These theories take into account the whole of the newtonian perturbations of nine point masses: the Sun, the Earth-Moon barycenter, the planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus and Neptune. They also take into account perturbations due to some minor planets, to the action of the Moon and the relativistic effects. The perturbations of these last three types are in a very simple way under analytical form but they considerably increase the computations when introduced in the numerical integration programs.

Type
Motions of Natural Bodies in the Solar System
Information
Symposium - International Astronomical Union , Volume 114: Relativity in Celestial Mechanics and Astrometry , 1986 , pp. 69
Copyright
Copyright © Reidel 1986 

References

Bretagnon, P., 1982, Astron. and Astrophys., 114, 278.Google Scholar
Simon, J-L., 1983, Astron. and Astrophys., 120, 197.Google Scholar