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On the existence of central configurations of p nested regular polyhedra

On the existence of central configurations of p nested regular polyhedra
 
Corbera Subirana, Montserrat ; Llibre, Jaume
2010

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Enllaç permanent: http://hdl.handle.net/10854/4463
 
Versió de l'editor: https://doi.org/10.1007/s10569-009-9254-x
 

Abstract

In this paper we prove, for all p 2, the existence of central configurations of the pn-body problem where the masses are located at the vertices of p nested regular polyhedra having the same number of vertices n and a common center. In such configurations all the masses on the same polyhedron are equal, but masses on different ...»»»»
In this paper we prove, for all p 2, the existence of central configurations of the pn-body problem where the masses are located at the vertices of p nested regular polyhedra having the same number of vertices n and a common center. In such configurations all the masses on the same polyhedron are equal, but masses on different polyhedra could be different.^^^^

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Citation:

Corbera Subirana, M., Llibre Saló J. (2010). On the existence of central configurations of p nested regular polyhedra. Celestial Mech. Dynam. Astronom, 106(2), 197-207 doi: 10.1007/s10569-009-9254-x.