most citedThe meromorphic non-integrability of the planar three-body problem

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math.DS2000★ 13 cited

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

Alexei Tsygvintsev

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.