On stability of planar solutions of double averaged restricted elliptic three-body problem
Dynamical Systems
2018-04-05 v2
Abstract
Double averaged planar restricted elliptic three-body problem has a two-parametric family of stable equilibria. We show that these equilibria are stable in the linear approximation as equilibria of the double averaged spatial restricted elliptic three-body problem. They are Lyapunov stable for all values of parameters but, possibly, parameters from some finite set of analytic curves.
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Cite
@article{arxiv.1803.08847,
title = {On stability of planar solutions of double averaged restricted elliptic three-body problem},
author = {Anatoly Neishtadt and Kaicheng Sheng and Vladislav Sidorenko},
journal= {arXiv preprint arXiv:1803.08847},
year = {2018}
}
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7 pages