On strictly convex central configurations of the 2n-body problem

We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n≥5 all convex central configurations of two twisted regular n-gons are strictly convex

Detalhes bibliográficos
Autores: Barrabés Vera, Esther, Cors Iglesias, Josep Maria
Formato: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
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:10256/15944
Acesso em linha:http://hdl.handle.net/10256/15944
Access Level:acceso abierto
Palavra-chave:Problema dels cossos múltiples
Many-body problem
Descrição
Resumo:We consider planar central configurations of the Newtonian 2n-body problem consisting in two twisted regular n-gons of equal masses. We prove the conjecture that for n≥5 all convex central configurations of two twisted regular n-gons are strictly convex