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Pàgina inicial > Articles > Articles publicats > On the central configurations in the spatial 5-body problem with four equal masses |
Data: | 2016 |
Resum: | We analyze the families of central configurations of the spatial 5-body problem with four masses equal to 1 when the fifth mass m varies from 0 to (Formula presented. ). In particular we continue numerically, taking m as a parameter, the central configurations (which all are symmetric) of the restricted spatial ((Formula presented. ))-body problem with four equal masses and (Formula presented. ) to the spatial 5-body problem with equal masses (i. e. (Formula presented. )), and viceversa we continue the symmetric central configurations of the spatial 5-body problem with five equal masses to the restricted ((Formula presented. ))-body problem with four equal masses. Additionally we continue numerically the symmetric central configurations of the spatial 5-body problem with four equal masses starting with (Formula presented. ) and ending in (Formula presented. ), improving the results of Alvarez-Ramírez et al. (Discrete Contin Dyn Syst Ser S 1: 505-518, 2008). We find four bifurcation values of m where the number of central configuration changes. We note that the central configurations of all continued families varying m from 0 to (Formula presented. ) are symmetric. |
Ajuts: | Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999 Ministerio de Economía y Competitividad UNAB10-4E-378 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Spatial central configurations ; 5-Body problem ; Bifurcations |
Publicat a: | Celestial Mechanics and Dynamical Astronomy, Vol. 124, Issue 4 (April 2016) , p. 433-456, ISSN 1572-9478 |
Postprint 26 p, 545.3 KB |