On the existence of central configurations of p nested regular polyhedra

Details On the existence of central configurations of p nested regular polyhedra On the existence of central configurations of p nested regular polyhedra

Feb 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cemda.106..197c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 106, Issue 2, pp.197-207

Astronomy and Astrophysics

Astronomy

1

Scientific paper

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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