On a Periodic Solution of the 4-Body Problems
Keyword(s):
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.
2011 ◽
Vol 84
(2)
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pp. 238-254
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1973 ◽
Vol 15
(3)
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pp. 279-290
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1991 ◽
Vol 33
(3)
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pp. 275-279
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1983 ◽
Vol 27
(2)
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pp. 137-150
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2013 ◽
Vol 2013
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pp. 1-9
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