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Central Configurations for Newtonian -Body Problems

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  • Furong Zhao
  • Jian Chen

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.

Suggested Citation

  • Furong Zhao & Jian Chen, 2013. "Central Configurations for Newtonian -Body Problems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, March.
    • Handle: RePEc:hin:jnlaaa:272791
    DOI: 10.1155/2013/272791
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