Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6426192 | Bulletin des Sciences Mathématiques | 2014 | 14 Pages |
Abstract
In this paper we study the two-body problem that describes the motion of two-point masses in an anisotropic space under the influence of the Seeliger potential. We will show that the set of initial conditions leading to collisions and ejections has positive measure and study the capture and escape solutions in the positive-energy case using the infinity manifold. We will also apply the Melnikov method to show that the flow on the zero-energy manifold of another potential which is the sum of the classical Keplerian potential and the anisotropic Seeliger's potential perturbation is chaotic.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Daniel PaÅca, Cláudia Valls,