2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129646We investigate the exact relation existing between the stability equation for the solutions of a mechanical system and the geodesic deviation equation of the associated geodesic problem in the Jacobi metric constructed via the Maupertuis-Jacobi Principle. We conclude that the dynamical and geometrical approaches to the stability/instability problem are not equivalent.14 pages, no figuresMathematical Physicstext