On the Existence of Central Configurations of 2k+2p+2l-Body Problems

We prove the existence of central configurations of the 2k+2p+2l-body problems with Newtonian potentials in R3. In such configuration, 2k masses are symmetrically located on the z-axis, 2p masses are symmetrically located on the y-axis, and 2l masses are symmetrically located on the x-axis, respecti...

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Bibliographic Details
Published in:Advances in mathematical physics 2014-01, Vol.2014 (2014), p.1-5
Main Authors: Jiang, Yueyong, Zhao, Furong
Format: Article
Language:English
Subjects:
Mathematical analysis
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Summary:We prove the existence of central configurations of the 2k+2p+2l-body problems with Newtonian potentials in R3. In such configuration, 2k masses are symmetrically located on the z-axis, 2p masses are symmetrically located on the y-axis, and 2l masses are symmetrically located on the x-axis, respectively; the masses symmetrically about the origin are equal.
ISSN:1687-9120
1687-9139
DOI:10.1155/2014/629467