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

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posted on 2005-08-25, 15:42 authored by Alexei V. Tsygvintsev
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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School

  • Science

Department

  • Mathematical Sciences

Pages

142401 bytes

Publication date

2002

Notes

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.

Language

  • en

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