Central Configurations for Newtonian -Body Problems

Furong Zhao and Jian Chen

Abstract and Applied Analysis, 2013, vol. 2013, 1-5

Abstract:

We show the existence of spatial central configurations for the -body problems. In the -body problems, N bodies are at the vertices of a regular N -gon T ; 2p bodies are symmetric with respect to the center of T , and located on the straight line which is perpendicular to the regular N -gon T and passes through the center of T ; the th is located at the the center of T . The masses located on the vertices of the regular N -gon are assumed to be equal; the masses located on the same line and symmetric with respect to the center of T are equal.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:272791

DOI: 10.1155/2013/272791

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