2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172073We solve explicitely the differential system obtained by Peres for the construction of a conserved vector associated to any central potential. We then obtain a very direct access to the discontinuous behavior of this Fradkin-Bacry-Ruegg-Souriau perihelion vector.Mathematical Physicstext