Existence of partially hyperbolic motions in the N-body problem
Dynamical Systems
2021-09-14 v3
Abstract
In the context of the Newtonian N-body problem, we prove the existence of a partially hyperbolic motion with prescribed positive energy and any initial collisionless configuration. Moreover, it is a free time minimizer of the respective supercritical Newtonian action or equivalently a geodesic ray for the respective Jacobi-Maupertuis metric.
Keywords
Cite
@article{arxiv.2008.08762,
title = {Existence of partially hyperbolic motions in the N-body problem},
author = {Juan Manuel Burgos},
journal= {arXiv preprint arXiv:2008.08762},
year = {2021}
}
Comments
Accepted in Proceedings of the AMS