2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69690It 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 functions4 pagesDynamical SystemsMathematical PhysicsChaotic DynamicsIntegrability of the n-centre problem at high energiestext