Mathematics – Dynamical Systems
Scientific paper
2008-11-03
Mathematics
Dynamical Systems
Scientific paper
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.
Ouyang Tiancheng
Simmons Skyler C.
Yan Duokui
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