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Modular-function representation of the solutions of the problem of two fixed centres

✍ Scribed by I.I. Kosenko

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
735 KB
Volume
57
Category
Article
ISSN
0021-8928

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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