Spin Axis Evolution of Interacting Bodies

Details Spin Axis Evolution of Interacting Bodies Spin Axis Evolution of Interacting Bodies

May 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009dda....40.1403b&link_type=abstract

American Astronomical Society, DDA meeting #40, #14.03; Bulletin of the American Astronomical Society, Vol. 41, p.908

Astronomy and Astrophysics

Astronomy

Scientific paper

We consider here two different problems: a three body problem with one solid body, or a two body problem with two interacting solids. This can be respectively a Sun-planet-satellite problem or a binary system of non spherical bodies as for example a system of binary asteroids. These two problems are 9 DOF. We demonstrate that after adequate averaging, these problems can be reduced to 2 DOF non trivial integrable problems for which we provide the complete solutions. In both cases, we demonstrate that the solution consist of a uniform rotation, and symmetric periodic loops in the uniformly rotating frame [Boué, G., Laskar, J., 2006. Icarus 185, 312-330] and [Boué, G., Laskar, J., 2009. Icarus, doi: 10.1016/j.icarus.2009.02.001].

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