On strictly convex central configurations of the 2n-body problem
Barrabés Vera, Esther (Universitat de Girona. Escola Politècnica Superior)
Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Escola Politècnica Superior d'Enginyeria de Manresa)

Date:	2019
Abstract:	We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n≥ 5 all convex central configurations of two twisted regular n-gons are strictly convex.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2016-80117-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1374 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Central configuration ; Convex central configuration ; N-body problem ; Twisted central configuration
Published in:	Journal of dynamics and differential equations, Vol. 31, Issue 4 (December 2019) , p. 2293-2304, ISSN 1572-9222

DOI: 10.1007/s10884-018-9708-5

Post-print 13 p, 252.7 KB

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