The meromorphic non-integrability of the three-body problem

Details The meromorphic non-integrability of the three-body problem The meromorphic non-integrability of the three-body problem

2000-09-25

arxiv.org/abs/math/0009218v1

Mathematics

Dynamical Systems

17 pages, submitted to Crelle's Journal

Scientific paper

We study the planar three-body problem and prove the absence of a complete
set of complex meromorphic first integrals in a neighborhood of the Lagrangian
solution. We use the Ziglin's method and study the monodromy group of the
corresponding normal variational equations.

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