The meromorphic non-integrability of the three-body problem

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dc.creatorTsygvintsev, Alexei
dc.date2000-09-25
dc.date.accessioned2026-07-07T04:37:41Z
dc.date.available2026-07-07T04:37:41Z
dc.descriptionWe 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.
dc.description17 pages, submitted to Crelle's Journal
dc.identifierhttps://arxiv.org/abs/math/0009218
dc.identifierhttp://arxiv.org/abs/math/0009218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59993
dc.subjectDynamical Systems
dc.subject37K10
dc.titleThe meromorphic non-integrability of the three-body problem
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