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arXiv:0811.0227 [math.DS]AbstractReferencesReviewsResources

Periodic Solutions with Singularities in Two Dimensions in the $n$-body Problem

Tiancheng Ouyang, Skyler C. Simmons, Duokui Yan

Published 2008-11-03, updated 2010-02-09Version 3

Analytical methods are used to prove the existence of a periodic, symmetric solution with singularities in the planar 4-body problem. A numerical calculation and simulation are used to generate the orbit. The analytical method easily extends to any even number of bodies. Multiple simultaneous binary collisions are a key feature of the orbits generated.

Categories: math.DS
Subjects: 70F10
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