Integration constants and mean elements for the planetary system

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Numerical Integration, Orbital Elements, Solar Orbits, Solar System, Constants, Correction, Earth-Moon System, Gas Giant Planets, Orbit Perturbation, Planets, Integrations, Theoretical Studies, Astronomy, Procedure, Data, Celestial Mechanics, Techniques, Comparisons, Mercury (Planet), Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune

Scientific paper

Corrections to the numerical integration of the planetary constants developed by Oesterwinter and Cohen (1972) from 40,000 observations of the sun, moon, and other planets are presented. The constants of integration include the average planetary longitude, the orbital eccentricity, the longitude of the perihelion, the inclination, the longitude of the node, and the semimajor axis. Attention is also given to the time coefficient in the average longitude. A distinction is made between the gas giants and the other planets, particularly for the perturbations in the orbits of Neptune, Saturn, and Jupiter, which are a hundred times the amplitude of the smaller planets. The barycenter of the earth-moon system and of Jupiter are estimated for the years 1950-2000, taking into account the modifications.

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