Abstract
In this paper we prove the existence of central configurations of the pn-body problem where the masses are at the vertices of p nested regular n-gons with a common center for all p ≥ 2 and n ≥ 2. In such configurations all the masses on the same n-gon are equal, but masses on different n-gons could be different.
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Corbera, M., Delgado, J. & Llibre, J. On the Existence of Central Configurations of p Nested n-gons. Qual. Theory Dyn. Syst. 8, 255–265 (2009). https://doi.org/10.1007/s12346-010-0004-y
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DOI: https://doi.org/10.1007/s12346-010-0004-y