Other
Scientific paper
Jul 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007dda....38.1101l&link_type=abstract
American Astronomical Society, DDA meeting #38, #11.01
Other
Scientific paper
The discovery of the chaotic behavior of the planetary orbits in the Solar System (Laskar, 1989, 1990) was obtained using numerical integration of averaged equations. Since then, this chaotic behavior has been confirmed through direct numerical simulation, without averaging (Quinn et al, 1991, Sussman and Wisdom, 1992). More recently, integrations of more accurate planetary equations have been performed over 100 to 250 Myr (Varadi et al, 2003, Laskar et al, 2004) aiming for the studies of the paleoclimate of the Earth and Mars. Over period of time longer than 100 Myr, it become hopeless to search for a precise solution for the orbital parameters of the inner planets (Mercury, Venus, Earth and Mars). On the other hand, it is important to understand the possible behavior of these solutions, and in particular of the possible variations of the action variables of the orbits (semi major axis, eccentricity and inclination). A first study of the chaotic diffusion of the planetary orbits was made in (Laskar, 1994) is order to search for the maximum possible variations of the eccentricity and inclinations of the planets, using the secular equations. Now it becomes possible to obtain a more statistical view of the chaotic evolution of the planetary orbits in the Solar system.
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