Periodic orbits of the two fixed centers problem with a variational gravitational field
Gao, Fabao (Yangzhou University. School of Mathematical Science (China))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2020
Abstract:	Within a given range of energy levels the two fixed centers problem under a variational gravitational field admits periodic orbits bifurcating from the Kepler problem. The analytical expressions of these periodic orbits are given when the mass parameter of the system is sufficiently small.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MDM-2014-0445 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Three-body problem ; Periodic orbit ; Averaging theory ; Variational gravitational field
Published in:	Celestial Mechanics and Dynamical Astronomy, Vol. 132, Issue 6-7 (June 2020) , art. 39, ISSN 1572-9478

DOI: 10.1007/s10569-020-09979-z

Postprint 11 p, 670.2 KB

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