Analytical and numerical studies of asteroid perturbations on solar system planet dynamics

Abstract

We present the first results based on the new analytical solution of planetary motion, VSOP2002b (Variations Seculaires des Orbites Planetaires) and on our new planetary numerical integration. After the presentation of this new solution, we discuss the impact of the perturbations induced by the main belt asteroids on short term dynamics of inner planets. We used our two planetary solutions, one analytical (VSOP2002b) and one numerical, to estimate such impacts. Comparisons are made with JPL DE405 and new contributions to Mercury and Venus orbits arise. Same results are found with the two methods and the accuracy limit of the new analytical solution is extended a few tens of meters over three decades for the Mars and the Earth-Moon Barycenter (EMB) orbits.