A new analysis of the three--body problem
Dynamical Systems
2022-09-08 v1 Mathematical Physics
math.MP
Abstract
In the recent papers~[18],~[5], respectively, the existence of motions where the perihelions afford periodic oscillations about certain equilibria and the onset of a topological horseshoe have been proved. Such results have been obtained using, as neighbouring integrable system, the so--called two--centre (or {\it Euler}) problem and a suitable canonical setting proposed in~[16],~[17]. Here we review such results.
Cite
@article{arxiv.2209.03114,
title = {A new analysis of the three--body problem},
author = {Jerome Daquin and Sara Di Ruzza and Gabriella Pinzari},
journal= {arXiv preprint arXiv:2209.03114},
year = {2022}
}
Comments
27 pages, 3 figures