English

Collision Orbits for a Hill's Type Problem

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We study the planar problem of two satellites attracted by a center of force. Assuming that the center of mass of the two-satellite system is on a circular orbit around the center of force and using Levi-Civita regularization we prove the existence of an almost periodic orbit with an infinite number of collision between the satellites.

Keywords

Cite

@article{arxiv.math-ph/0107014,
  title  = {Collision Orbits for a Hill's Type Problem},
  author = {Cesar Castilho},
  journal= {arXiv preprint arXiv:math-ph/0107014},
  year   = {2007}
}