The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Paşca, Daniel (University of Oradea. Department of Mathematics and Informatics (Romania))
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)

Date:	2021
Abstract:	We study the dynamics of the circular restricted 4-body problem with three primaries with equal masses at the collinear configuration of the 3-body problem with an infinitesimal mass. We calculate the equilibrium points and study their linear stability. By applying the Lyapunov theorem, we prove the existence of periodic orbits bifurcating from the equilibrium points and, further, prove that they continue in the full 4-body problem. Moreover, we prove analytically the existence of Hill and of comet-like periodic orbits.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 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:	Circular restricted 4-body problem ; Collinear central configuration ; Periodic orbit
Published in:	Celestial Mechanics and Dynamical Astronomy, Vol. 133, Issue 11-12 (December 2021) , art. 53, ISSN 1572-9478

DOI: 10.1007/s10569-021-10052-6

Postprint 13 p, 951.2 KB

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