Non-existence of new meromorphic first integrals in the planar three-body problem

We consider the planar three-body problem and prove that, apart from some exceptional cases, there is no additional first integral meromorphic with respect to positions, mutual distances and momenta.

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Bibliographic Details
Main Author: Alexei V. Tsygvintsev
Format: Default Preprint
Published: 2002
Subjects:
Online Access:https://hdl.handle.net/2134/463
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