EAS Publications Series
Volume 42, 2010Extrasolar Planets in Multi-Body Systems: Theory and Observations
|Page(s)||345 - 353|
|Published online||19 April 2010|
K. Goździewski, A. Niedzielski and J. Schneider (eds)
EAS Publications Series, 42 (2010) 345-353
Spin axis evolution of interacting bodies
CNRS, UMR 8028, INSU, Observatoire de Paris, Université Pierre et Marie Curie, Paris VI, 77 Av. Denfert-Rochereau, 75014 Paris, France
We consider two different general problems: a three body problem with one solid body, and a two body problem with two interacting solids. This can be a Sun-planet-satellite problem and a binary system of non spherical bodies respectively. We demonstrate that after adequate averaging, these problems can be reduced to non-trivial integrable problems for which we provide the complete solutions. These results should be useful for the understanding of the evolution of planetary and satellites' spin axes over long time-scales, and thus for the search of dynamical constraints on the evolution of the Solar System.
© EAS, EDP Sciences, 2010
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