Periodic Orbits of the Planar Anisotropic Manev Problem and of the Perturbed Hydrogen Atom Problem

Jaume Llibre, Pengfei Yuan

Research output: Contribution to journalArticleResearch

1 Citation (Scopus)

Abstract

© 2019, Springer Nature Switzerland AG. In this paper we use the averaging theory for studying the periodic solutions of the planar anisotropic Manev problem and of two perturbations of the hydrogen atom problem. When a convenient parameter is sufficiently small we prove that for every value e∈ (0 , 1) a unique elliptic periodic solution with eccentricity e of the Kepler problem can be continued to the mentioned three problems.
Original languageEnglish
JournalQualitative Theory of Dynamical Systems
DOIs
Publication statusPublished - 1 Jan 2019

Keywords

  • Anisotropic Manev problem
  • Averaging theory
  • Hydrogen atom problem
  • Periodic solutions

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