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arxiv: math/0009217 · v2 · pith:HIM4YZ5Snew · submitted 2000-09-25 · 🧮 math.DS

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

classification 🧮 math.DS
keywords meromorphicplanarproblemthree-bodyabsencecompletecomplexfirst
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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.

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