Bifurcation of Spatial Central Configurations from Planar Ones

Central configurations are important special solutions of the Newtonian N-body problem of celestial mechanics. In this paper a highly symmetrical case is studied. As the masses are varied, spatial central configurations appear through bifurcation from planar ones. In particular, spatial configuratio...

Descripción completa

Detalles Bibliográficos
Autores: Moeckel, Richard, Simó, Carles
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1995
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/101938
Acceso en línea:https://hdl.handle.net/2445/101938
Access Level:acceso abierto
Palabra clave:Mecànica celeste
Teoria de la bifurcació
Celestial mechanics
Bifurcation theory
Descripción
Sumario:Central configurations are important special solutions of the Newtonian N-body problem of celestial mechanics. In this paper a highly symmetrical case is studied. As the masses are varied, spatial central configurations appear through bifurcation from planar ones. In particular, spatial configurations can be found which are arbitrarily close to being planar.