A Four-body convex central configuration with perpendicular diagonals is necessarily a kite
Corbera Subirana, Montserrat (Universitat de Vic. Departament d'Enginyeries)
Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
Roberts, Gareth E. (College of the Holy Cross. Department of Mathematics and Computer Science)

Date:	2018
Abstract:	We prove that any four-body convex central configuration with perpendicular diagonals must be a kite configuration. The result extends to general power-law potential functions, including the planar four-vortex problem.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Central configuration ; N-body problem ; N-vortex problem
Published in:	Qualitative theory of dynamical systems, Vol. 17, issue 2 (Jul. 2018) , p. 367-374, ISSN 1662-3592

DOI: 10.1007/s12346-017-0238-z

Postprint 8 p, 285.3 KB

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