Periodic Solutions with Singularities in Two Dimensions in the n-body Problem
Ouyang, Tiancheng · Simmons, Skyler C. · Yan, Duokui
Original · EN
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.
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