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Spin axis evolution of interacting bodies

Published online by Cambridge University Press:  19 April 2010

K. Goździewski ,
A. Niedzielski ,
J. Schneider ,
G. Boué  and
J. Laskar
G. Boué
Affiliation:
CNRS, UMR 8028, INSU, Observatoire de Paris, Université Pierre et Marie Curie, Paris VI, 77 Av. Denfert-Rochereau, 75014 Paris, France
J. Laskar
Affiliation:
CNRS, UMR 8028, INSU, Observatoire de Paris, Université Pierre et Marie Curie, Paris VI, 77 Av. Denfert-Rochereau, 75014 Paris, France
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Abstract

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.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 42: Extrasolar Planets in Multi-Body Systems: Theory and Observations , 2010 , pp. 345 - 353
Copyright
© EAS, EDP Sciences, 2010

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