The meromorphic non-integrability of the three-body problem

Tsygvintsev, Alexei

doi:10.1515/crll.2001.061

Scientific article

English

The meromorphic non-integrability of the three-body problem

ContributorsTsygvintsev, Alexei

Published inJournal für die reine und angewandte Mathematik, no. 537, p. 127-149

Collection

Open Access - Licence nationale de Gruyter

Publication date2001

Abstract

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.

Classification

arxiv : math.DS

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

TSYGVINTSEV, Alexei. The meromorphic non-integrability of the three-body problem. In: Journal für die reine und angewandte Mathematik, 2001, n° 537, p. 127–149. doi: 10.1515/crll.2001.061

Article (Submitted version)

Article (Published version)

OA NATIONAL

Identifiers

PID : unige:12393
DOI : 10.1515/crll.2001.061
arXiv : math/0009218v1

Journal ISSN0075-4102

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The meromorphic non-integrability of the three-body problem

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.

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