On centered co-circular central configurations of the n-body problem
Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya)
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)

Date:	2019
Abstract:	We study the co-circular central configurations of the n-body problem for which the center of mass and the center of the common circle coincide. In particular, we prove that there are no central configurations of this type with all the masses equal except one. This provides more evidences for the veracity of the conjecture that the regular n-gon with equal masses is the unique co-circular central configuration of the n-body problem whose center of mass is the center of the circle. Our result remains valid if we consider power-law potentials.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Co-circular central configuration ; N-body problem ; Regular n-gon
Published in:	Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2053-2060, ISSN 1572-9222

DOI: 10.1007/s10884-018-9699-2

Post-print 8 p, 240.0 KB

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