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Pàgina inicial > Articles > Articles publicats > Bifurcation of relative equilibria of the (1 3)-body problem |
Data: | 2015 |
Resum: | We study the relative equilibria of the limit case of the planar Newtonian 4-body problem when three masses tend to zero, the so-called (1 3)-body problem. Depending on the values of the infinitesimal masses the number of relative equilibria varies from ten to fourteen. Six of these relative equilibria are always convex, and the others are concave. Each convex relative equilibrium of the (1 3)-body problem can be continued to a unique family of relative equilibria of the general 4-body problem when three of the masses are sufficiently small and every convex relative equilibrium for these masses belongs to one of these six families. |
Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 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 |
Nota: | Agraïments: FEDER-UNAB10-4E-378. R. Moeckel's research is supported by NSF grant DMS-1208908. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | (1 n)-body problem ; Celestial Mechanics ; Relative equilibria |
Publicat a: | SIAM Journal on Mathematical Analysis, Vol. 47 Núm. 2 (2015) , p. 1377-1404, ISSN 1095-7154 |
Postprint 33 p, 6.0 MB |