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Title: Non-existence of new meromorphic first integrals in the planar three-body problem
Authors: Tsygvintsev, Alexei V.
Issue Date: 2002
Abstract: 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.
Description: This pre-print has been submitted, and accepted, to the journal, Celestial Mechanics and Dynamical Astronomy [© Kluwer (Springer)]. The definitive version: TSYGVINTSEV, A.V., 2003. Non-existence of new meromorphic first integrals in the planar three-body problem. Celestial Mechanics and Dynamical Astronomy, 86(3), pp. 237-247, is available at: http://www.springerlink.com/openurl.asp?genre=journal&eissn=1572-9478.
URI: https://dspace.lboro.ac.uk/2134/463
Appears in Collections:Pre-prints (Maths)

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