2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126416It is shown that for a central potential that is an injective function of the radial coordinate, a second central potential can be found that leads to trajectories in the configuration space and the momentum space coinciding, respectively, with the trajectories in the momentum space and the configuration space produced by the original potential.5 pages, Accepted for publication in Rev. Mex. FisClassical PhysicsGeneral Physicstext