Frequency analysis of the stability of asteroids in the framework of the restricted three-body problem (Q1766275)

The planar circular restricted three-body problem is used as a model for numerical investigation of stability of the motion of some asteroids (namely, 7 Iris, 12 Victoria and 1204 Renzia). The authors use the existence of invariant tori bounding, from below and above, the motion of asteroids on a fixed energy level. This was earlier proved analytically by employing the so-called isoenergetic KAM theorem. In the article these analytical results are complemented by numerical frequency analysis.