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| Pàgina inicial > Articles > Articles publicats > The symmetric central configurations of the 4-body problem with masses m_1=m_2 m_3=m_4 |
(UAM-Iztapalapa(México). Departamento de Matemáticas) (Universitat Autònoma de Barcelona. Departament de Matemàtiques)| Data: | 2013 |
| Resum: | 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. |
| Ajuts: | Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Central configuration ; 4-body problem ; Convex and concave central configurations |
| Publicat a: | Applied Mathematics and Computation, Vol. 219 (2013) , p. 5996-6001, ISSN 0096-3003 |
9 p, 661.1 KB |
