Homographic solutions of the curved 3-body problem
Dynamical Systems
2010-12-14 v2 Analysis of PDEs
Abstract
In the 2-dimensional curved 3-body problem, we prove the existence of Lagrangian and Eulerian homographic orbits, and provide their complete classification in the case of equal masses. We also show that the only non-homothetic hyperbolic Eulerian solutions are the hyperbolic Eulerian relative equilibria, a result that proves their instability.
Keywords
Cite
@article{arxiv.1001.1789,
title = {Homographic solutions of the curved 3-body problem},
author = {Florin Diacu and Ernesto Perez-Chavela},
journal= {arXiv preprint arXiv:1001.1789},
year = {2010}
}
Comments
34 pages, 7 figures, new introduction