Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem
Dynamical Systems
2021-06-14 v1
Abstract
Consider the Restricted Planar Circular 3 Body Problem with both realistic mass ratio and Jacobi constant for the Sun-Jupiter pair. We prove the existence of all possible combinations of past and future final motions. In particular, we obtain the existence of oscillatory motions. All the constructed trajectories cross the orbit of Jupiter but avoid close encounters with it. The proof relies on the method of correctly aligned windows and is computer assisted.
Keywords
Cite
@article{arxiv.2106.06254,
title = {Oscillatory Motions and Parabolic Manifolds at Infinity in the Planar Circular Restricted Three Body Problem},
author = {Maciej J. Capiński and Marcel Guardia and Pau Martín and Tere Seara and Piotr Zgliczyński},
journal= {arXiv preprint arXiv:2106.06254},
year = {2021}
}
Comments
50 pages