Super-hyperbolic orbits and non-collision singularities in a four-body problem
Dynamical Systems
2023-02-27 v1
Abstract
In this paper, we prove the existence of super-hyperbolic orbits in four-body problem, which solves a conjecture of Marchal-Saari. We also prove the existence of noncollision singularities in the same model, which solves a conjecture of Anosov. Moreover, the two type of solutions coexist for certain mass ratios. We also make a conjecture on the classification of final motions of N-body problem, in which the superhyperbolic type of orbits is one of the building blocks.
Cite
@article{arxiv.2302.12410,
title = {Super-hyperbolic orbits and non-collision singularities in a four-body problem},
author = {Guan Huang and Jinxin Xue},
journal= {arXiv preprint arXiv:2302.12410},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2202.08534