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Non-existence of new meromorphic first integrals in the planar three-body problem
preprint
posted on 2005-08-25, 15:42 authored by Alexei V. TsygvintsevWe 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.
History
School
- Science
Department
- Mathematical Sciences
Pages
142401 bytesPublication date
2002Notes
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