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Non-Integrability of the Generalized Two Fixed Centres Problem

✍ Scribed by Andrzej J. Maciejewski; Maria Przybylska


Book ID
111576607
Publisher
Springer Netherlands
Year
2004
Tongue
English
Weight
154 KB
Volume
89
Category
Article
ISSN
1572-9478

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The Problem of two fixed centres is an integrable Hamiltonian system. If one truncates the Taylor expansion of the potential of this problem (in the symmetric case) at any order 3, we prove that one obtains a system which does not admit any first integral, meromorphic and functionally independent of