Existence of either a periodic collisional orbit or infinitely many consecutive collision orbits in the planar circular restricted three-body problem
Dynamical Systems
2018-02-27 v2 Symplectic Geometry
Abstract
In the restricted three-body problem, consecutive collision orbits are those orbits which start and end at collisions with one of the primaries. Interests for such orbits arise not only from mathematics but also from various engineering problems. In this article, using Floer homology, we show that there are either a periodic collisional orbit, or infinitely many consecutive collision orbits in the planar circular restricted three-body problem on each bounded component of the energy hypersurface for Jacobi energy below the first critical value.
Keywords
Cite
@article{arxiv.1705.02244,
title = {Existence of either a periodic collisional orbit or infinitely many consecutive collision orbits in the planar circular restricted three-body problem},
author = {Urs Frauenfelder and Lei Zhao},
journal= {arXiv preprint arXiv:1705.02244},
year = {2018}
}
Comments
13 pp