Planar central configurations of some restricted (4 + 1)-body problems
Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya. Departament d'Enginyeries)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemàtica)

Date:	2022
Abstract:	We start with the 13 central configurations of the restricted (4 + 1) body problem having four primaries with equal masses at the vertices of a square. Then, we describe the evolution of these central configurations when some of the masses of the four primaries tend to zero and the remainder ones keep constant. More precisely, we consider the cases where one of the masses tends to zero, where either two adjacent or two opposite equal masses tend to zero simultaneously, and where three equal masses tend to zero simultaneously. Here, simultaneously means that the masses that go to zero take the same value at any moment.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Central configurations ; Restricted (4 + 1)-body problem
Published in:	Journal of Mathematical Physics, Vol. 63, Issue 12 (December 2022) , art. 122901, ISSN 1089-7658

DOI: 10.1063/5.0091642

Postprint 20 p, 971.1 KB

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