KAM stability estimates in Celestial Mechanics

Details KAM stability estimates in Celestial Mechanics KAM stability estimates in Celestial Mechanics

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998p%26ss...46.1433c&link_type=abstract

Planetary and Space Science, Volume 46, Issue 11-12, p. 1433-1440.

Physics

1

Scientific paper

A review of KAM stability estimates in Celestial Mechanics is presented. Rotational and librational invariant surfaces are constructed to ensure confinement in the phase space of a model obtained in the spin-orbit coupling between the revolutional and rotational motions of a satellite around a primary body. Stability of invariant tori for the restricted, circular, planar three body problem is also presented. Finally, an application of Arnold's theorem to the inclined planetary problem is briefly discussed.

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