The meromorphic non-integrability of the three-body problem

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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. We use the Ziglin's method and study the monodromy group of the corresponding normal variational equations.
17 pages, submitted to Crelle's Journal

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Dynamical Systems, 37K10

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http://salesiana.dossiersoluciones.com/handle/123456789/59993

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0009218
 http://arxiv.org/abs/math/0009218

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arXiv