Construction of a planetary solution with the help of an N-body program, and analytical complements

Statistics – Computation

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Many Body Problem, Nonrelativistic Mechanics, Numerical Integration, Orbit Calculation, Solar System, Moon, Orbit Perturbation, Planets, Relativistic Effects

Scientific paper

Entirely analytical planetary theories such as VSOP82 (Bretagnon, 1982) and TOP82 (Simon, 1983) take into account the whole of the Newtonian perturbations of nine point masses: the sun, the earth-moon barycenter, and 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 relativistic effects. The perturbations of these last three types are in a very simple way under analytical form, but they considerably increase computations when introduced into numerical integration programs. Here a solution is studied in which the Newtonian perturbations for the ten point masses are treated through numerical integration, the other perturbations being analytically added.

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