On stability of planar solutions of double averaged restricted elliptic three-body problem

Autor:	Neishtadt, Anatoly, Sheng, Kaicheng, Sidorenko, Vladislav
Rok vydání:	2018
Předmět:	Mathematics - Dynamical Systems 70F15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1803.08847 Zobrazit plný text záznamu View this record from Arxiv