On the central configurations of the planar (1 3)-body problem
Corbera Subirana, Montserrat (Universitat de Vic. Departament de Tecnologies Digitals i de la Informació)
Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2011
Abstract:	We consider the Newtonian 4 body problem in the plane with a dominat mass M. We study the planar central configurations of this problem when the remaining masses are infinitesimal. We obtain two different classes of central configurations depending on the mutual distances between the infinitesimals masses. Both classes exhibit symmetric and non-symmetric configurations. And when two infinitesimal masses are equal, the number of central configurations varies from five to seven.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	1 + 3 body problem ; Central configurations ; Coorbital satellites
Published in:	Celestial Mechanics and Dynamical Astronomy, Vol. 109 Núm. 1 (2011) , p. 27-43, ISSN 1572-9478

DOI: 10.1007/s10569-010-9316-0

Postprint 22 p, 447.3 KB

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