2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125109The series solution of the behavior of a finite number of physical bodies and Chaitin's Omega number share quasi-algorithmic expressions; yet both lack a computable radius of convergence.Contribution to the collection of papers "Randomness and Complexity, from Leibniz to Chaitin," ed. by Cristian S. CaludeClassical PhysicsGeneral PhysicsOmega and the time evolution of the N-body problemtext