English

Integrability of the n-centre problem at high energies

Dynamical Systems 2007-05-23 v2 Mathematical Physics math.MP Chaotic Dynamics

Abstract

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

Cite

@article{arxiv.math/0312429,
  title  = {Integrability of the n-centre problem at high energies},
  author = {A. Knauf and I. A. Taimanov},
  journal= {arXiv preprint arXiv:math/0312429},
  year   = {2007}
}

Comments

4 pages

R2 v1 2026-07-22T17:01:03.969Z