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

Autores: Jaume Llibre , Pengfei Yuan
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 3, 2019, págs. 969-986
Idioma: inglés
DOI: 10.1007/s12346-019-00322-y
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Resumen
- 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.