Document Type

Article

Publication Date

2005

Department

Mathematics

Abstract

We study a two-body problem given by the sum of the Newtonian potential and an anisotropic perturbation that is a homogeneous function of degree -β, β ≥2. For β>2, the sets of initial conditions leading to collisions/ejections and the one leading to escapes/captures have positive measure. For β>2 and β≠3, the flow on the zero-energy manifold is chaotic. For β=2, a case we prove integrable, the infinity manifold of the zero-energy level has heteroclinic connections with the collision manifold.

Comments

This article was originally published in Journal of Mathematical Physics 46: 072701. © 2005 American Institute of Physics.

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