Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem

Details Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem

Nov 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cemda..90..245c&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 90, Issue 3-4, pp. 245-266

Astronomy and Astrophysics

Astronomy

1

Restricted Three-Body Problem, Stability, Frequency Analysis

Scientific paper

The stability of some asteroids, in the framework of the restricted three-body problem, has been recently proved in (Celletti and Chierchia, 2003), by developing an isoenergetic KAM theorem. More precisely, having fixed a level of energy related to the motion of the asteroid, the stability can be obtained by showing the existence of nearby trapping invariant tori existing at the same energy level. The analytical results are compatible with the astronomical observations, since the theorem is valid for the realistic mass-ratio of the primaries.

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