2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68166We give some results about the dynamics of a particle moving in Euclidean three-space under the influence of the gravitational force induced by a fixed homogeneous circle. Our main results concern (1) singularities and (2) the dynamics in the plane that contains the circle. The study presented here is purely analytic.Dynamical Systems70F99On the fixed homogeneous circle problemtext