On a Periodic Solution of the 4-Body Problems

Jian Chen and Bingyu Li

Advances in Mathematical Physics, 2014, vol. 2014, 1-3

Abstract:

We study the necessary and sufficient conditions on the masses for the periodic solution of planar 4-body problems, where three particles locate at the vertices of an equilateral triangle and rotate with constant angular velocity about a resting particle. We prove that the above periodic motion is a solution of Newtonian 4-body problems if and only if the resting particle is at the origin and the masses of the other three particles are equal and their angular velocity satisfies a special condition.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:478495

DOI: 10.1155/2014/478495

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