Keplerian periodic orbits in the isosceles problem
Source: Celestial Mechanics and Dynamical Astronomy, Volume 75, Number 1, September 1999 , pp. 17-27(11)
Abstract:The planar isosceles three-body problem where the two symmetric bodies have small masses is considered as a perturbation of the Kepler problem. We prove that the circular orbits can be continued to saddle orbits of the Isosceles problem. This continuation is not possible in the elliptic case. Their perturbed orbits tend to a continued circular one or approach a triple collision. The basic tool used is the study of the Poincaré maps associated with the periodic solutions.
Document Type: Research Article
Publication date: 1999-09-01