2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/202032The stability under radial and vertical perturbations of circular orbits associated to particles orbiting a spherically symmetric center of attraction is study in the context of the n-dimensional: Newtonian theory of gravitation, Einstein's general relativity, and Einstein-Gauss-Bonnet theory of gravitation. The presence of a cosmological constant is also considered. We find that this constant as well as the Gauss-Bonnet coupling constant are crucial to have stability for $n>4$.11 pages, 4 figs, RevTex, Phys. Rev. D, in pressGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext