On existence of periodic solutions for Kepler type problems
Classical Analysis and ODEs
2025-01-24 v1 Algebraic Topology
Differential Geometry
Dynamical Systems
Abstract
We prove existence and multiplicity of periodic motions for the forced 2-body problem under conditions of topological character. In the different cases, the lower bounds obtained for the number of solutions are related to the winding number of a curve in the plane, the homology of a space in , the knot type of a curve and the link type of a set of curves. Also, the results are applied to the restricted -body problem.
Cite
@article{arxiv.1303.5600,
title = {On existence of periodic solutions for Kepler type problems},
author = {Pablo Amster and Julián Haddad},
journal= {arXiv preprint arXiv:1303.5600},
year = {2025}
}
Comments
22 pages, 1 figure