Critical points at infinity in charged N-body systems
Dynamical Systems
2021-12-15 v1
Abstract
We define the notion of critical points at infinity for the charged N-body problem, following the approach of Albouy 1993. We give a characterisation of such points and show how they can be found in the charged 3-body problem. The symmetry group of the N-body problem and accompanying integrals play a key role. In fact critical points at infinity are indispensible in understanding the bifurcations of the integral map. Together with the critical points at infinity in the charged 3-body problem, we present the bifurcation values.
Keywords
Cite
@article{arxiv.2112.07267,
title = {Critical points at infinity in charged N-body systems},
author = {I. Hoveijn and H. Waalkens and M. Zaman},
journal= {arXiv preprint arXiv:2112.07267},
year = {2021}
}
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22 pages