2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141108We investigate spherically symmetric equilibrium states of the Vlasov-Poisson system, relevant in galactic dynamics. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a region with compact closure.Based on a dynamical systems analysis we derive theorems that guarantee that the steady state solutions have finite mass and compact support.18 pages; 4 figuresMathematical PhysicsAstrophysicsGeneral Relativity and Quantum Cosmology37Cxx; 85A05text