Home > Articles > Published articles > A note on the Dziobek central configurations |
Date: | 2015 |
Abstract: | For the Newtonian n-body problem in R^n−2 with n ≥ 3 we prove that the following two statements are equivalent. (a) Let x be a Dziobek central configuration having one mass located at the center of mass. (b) Let x be a central configuration formed by n-1 equal masses located at the vertices of a regular (n-2)-simplex together with an arbitrary mass located at its barycenter. |
Grants: | Ministerio de Ciencia e Innovación 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: | Central configuration ; N-body problem |
Published in: | Proceedings of the American Mathematical Society, Vol. 143 Núm. 8 (2015) , p. 3587-3591, ISSN 1088-6826 |
Postprint 5 p, 641.9 KB |