Proper initial conditions for long-term integrations of the solar system*
Laboratoire “Sols, Solides, Structures” CNRS / Université Joseph Fourier / Institut National Polytechnique de Grenoble, BP 53, 38041 Grenoble Cedex 9, France
Corresponding author: email@example.com
Accepted: 4 December 2001
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.
Key words: celestial mechanics / ephemerides
© ESO, 2002