The only syzygy-free solution is Lagrange's

Details The only syzygy-free solution is Lagrange's The only syzygy-free solution is Lagrange's

2006-01-12

arxiv.org/abs/math/0601269v1

Mathematics

Dynamical Systems

12 pages. 1 figure

Scientific paper

A syzygy in the three-body problem is a collinear instant. We prove that with
the exception of Lagrange's solution every solution to the zero angular
momentum Newtonian three-body problem suffers syzygies. The proof works for all
mass ratios.

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