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The meromorphic non-integrability of the planar three-body problem. (La non-intégrabilité méromorphe du problème plan des trois corps.) (French) Zbl 0964.70011

Summary: We study the planar three-body problem and prove the non-existence of a complete set of complex meromorphic first integrals in a neighborhood of Lagrangian solution.

MSC:

70F07 Three-body problems
70H07 Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics
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