On central configurations of the κn-body problem
We consider planar central configurations of the Newtonian κn-body problem consisting in κ groups of regular n-gons of equal masses, called (κ,n)-crown. We derive the equations of central configurations for a general (κ,n)-crown. When κ=2 we prove the existence of a twisted (2,n)-crown for any value...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10256/17124 |
| Acesso em linha: | http://hdl.handle.net/10256/17124 |
| Access Level: | acceso abierto |
| Palavra-chave: | Mecànica celest Celestial mechanics Problema dels cossos múltiples Many-body problem |
| Resumo: | We consider planar central configurations of the Newtonian κn-body problem consisting in κ groups of regular n-gons of equal masses, called (κ,n)-crown. We derive the equations of central configurations for a general (κ,n)-crown. When κ=2 we prove the existence of a twisted (2,n)-crown for any value of the mass ratio. Moreover, for n=3,4 and any value of the mass ratio, we give the exact number of twisted (2,n)-crowns, and describe their location. Finally, we conjecture that for any value of the mass ratio there exist exactly three (2,n)-crowns for n≥5 |
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