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On the absence of the new meromorphic first integral in the planar three–body problem
Author(s) -
Tsygvintsev A.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<123::aid-pamm123>3.0.co;2-v
Subject(s) - meromorphic function , planar , lagrangian , mathematics , pure mathematics , mathematical analysis , computer science , computer graphics (images)
We consider the planar three‐body problem and prove that, besides some exceptional cases, in a neighborhood of the Lagrangian particular solution for this problem, there is no an additional meromorphic first integral.