Theory of the inner planets

Physics

Scientific paper

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Celestial Mechanics, Planetology, Solar Orbits, Solar System, Terrestrial Planets, Accuracy, Earth-Moon System, Iterative Solution, Orbit Perturbation, Relativistic Effects, Planets, Theoretical Studies, Perturbations, Techniques, Procedure, Longitude, Mercury(Planet), Venus, Earth, Mars, Terrestrial Planets, Physical Properties, Amplitude, Motion, Data

Scientific paper

In the construction of planetary theories for the whole solar system undertaken at the Bureau des Longitudes, the aim is to obtain a precision of 0.0001 arcsec for the inner planets over several centuries, a precision of 0.01 arcsec for the outer planets over one century, and 0.1 arcsec over 1000 years. To obtain such precision it is necessary to compute the perturbations at least to the third order of the masses of the inner planets and to the sixth order of the masses of the outer planets. In the mean longitudes the precision obtained is 0.0005 arcsec for Mercury, 0.0030 arcsec for Venus and the earth, and 0.0047 arcsec for Mars.

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