The symmetric central configurations of the 4-body problem with masses m_1=m_2 m_3=m_4
Álvarez-Ramírez, Martha (UAM-Iztapalapa(México). Departamento de Matemáticas)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2013
Abstract:	We characterize the planar central configurations of the 4-body problem with masses m1 = m2 ̸= m3 = m4 which have an axis of symmetry. It is known that this problem has exactly two classes of convex central configurations, one with the shape of a rhombus and the other with the shape of an isosceles trapezoid. We show that this 4-body problem also has exactly two classes of concave central configurations with the shape of a kite, this proof is assisted by computer.
Grants:	Ministerio de Ciencia y Tecnología 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 ; 4-body problem ; Convex and concave central configurations
Published in:	Applied Mathematics and Computation, Vol. 219 (2013) , p. 5996-6001, ISSN 0096-3003

DOI: 10.1016/j.amc.2012.12.036

Postprint 9 p, 661.1 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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