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Random walk in the three-body problem and applications

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  • The process of random walk is described, in general, and how it can be applied in the three-body problem in a systematic manner. Several applications are considered. The main one which is a focus of this paper is on the evolution of horseshoe orbits and their transition to breakout motion in the restricted three-body problem. This connection is related to their use for an Earth-impactor in a theory on the formation of the Moon. We briefly discuss another application on the instability of asteroid orbits.
    Mathematics Subject Classification: Primary: 37N05, 60G35, 70F05, Secondary: 37M05, 37M20,37J20, 37J25.

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