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Integrability of the n-centre problem at high energies

A. Knauf·I. A. Taimanov
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Abstract

It is shown that for generic configuration of the centres at high energy levels the n-centre problem is completely integrable by using $C^\infty$ integrals of the motion however it is not integrable in terms of real analytic functions

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A. Knauf, I. A. Taimanov. 2004-01-16. Integrability of the n-centre problem at high energies. https://arxiv.org/abs/math/0312429

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