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Proper initial conditions for long-term integrations of the solar system

Mayeul Arminjon
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Abstract

An optimization program is used to re-adjust the initial conditions, in order to reproduce as closely as possible the predictions of a complete ephemeris by using simplified equations of motion in the numerical integration. The adjustment of the initial conditions is illustrated in the transition from the DE406 complete long-range ephemeris to a Newtonian model considering only the Sun and the four major planets. It is also used to best reproduce this same DE406 ephemeris, based on post-Newtonian equations for a system of mass points and including the Moon and asteroids, by using a Newtonian calculation corrected by the Schwarzschild effects of the Sun and restricted to the ten major bodies of the solar system.

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Mayeul Arminjon. 2002-01-09. Proper initial conditions for long-term integrations of the solar system. https://doi.org/10.1051/0004-6361%3A20011791

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