Oscillatory orbits in the restricted elliptic planar three body problem
Dynamical Systems
2016-08-08 v2
Abstract
The restricted planar elliptic three body problem models the motion of a massless body under the Newtonian gravitational force of the two other bodies, the primaries, which evolve in Keplerian ellipses. A trajectory is called oscillatory if it leaves every bounded region but returns infinitely often to some fixed bounded region. We prove the existence of such type of trajectories for any values for the masses of the primaries provided they make almost circular orbits.
Keywords
Cite
@article{arxiv.1506.04551,
title = {Oscillatory orbits in the restricted elliptic planar three body problem},
author = {Marcel Guardia and Pau Martín and Lara Sabbagh and Tere M. Seara},
journal= {arXiv preprint arXiv:1506.04551},
year = {2016}
}