The number of relative equilibria in the PCR4PB
Dynamical Systems
2022-04-20 v1 Mathematical Physics
math.MP
Abstract
The aim of this paper is to present a new, analytical, method for computing the exact number of relative equilibria in the planar, circular, restricted 4-body problem of celestial mechanics. The new approach allows for a very efficient computer-aided proof, and opens a potential pathway to proving harder instances of the n-body problem.
Keywords
Cite
@article{arxiv.2204.08812,
title = {The number of relative equilibria in the PCR4PB},
author = {Jordi-Lluís Figueras and Warwick Tucker and Piotr Zgliczynski},
journal= {arXiv preprint arXiv:2204.08812},
year = {2022}
}
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