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

Yueyong Jiang and Furong Zhao

Advances in Mathematical Physics, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/629467

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