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Central configurations of nested regular polyhedra for the spatial 2n–body problem

Central configurations of nested regular polyhedra for the spatial 2n–body problem
 
Corbera Subirana, Montserrat ; Llibre, Jaume
2008

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Enllaç permanent: http://hdl.handle.net/10854/2207
 
Versió de l'editor: https://doi.org/10.1016/j.geomphys.2008.05.003
 

Abstract

We consider 2n masses located at the vertices of two nested regular polyhedra with the same number of vertices. Assuming that the masses in each polyhedron are equal, we prove that for each ratio of the masses of the inner and the outer polyhedron there exists a unique ratio of the length of the edges of the inner and the outer ...»»»»
We consider 2n masses located at the vertices of two nested regular polyhedra with the same number of vertices. Assuming that the masses in each polyhedron are equal, we prove that for each ratio of the masses of the inner and the outer polyhedron there exists a unique ratio of the length of the edges of the inner and the outer polyhedron such that the configuration is central.^^^^

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(c) 2008 Elsevier. Published article is available at: http://dx.doi.org/10.1016/j.geomphys.2008.05.003

Citation:

CORBERA SUBIRANA, Montserrat; LLIBRE, Jaume. "Central configurations of nested regular polyhedra for the spatial 2n-body problem". A: Journal of Geometry and Physics, 2008, vol. 58, núm. 9, pàg. 1241-1252.