2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84230The problem of three particles interacting through harmonic forces is discussed within the Newtonian formalism. By means of a didactic approach, an exact analytical solution is found, and ways to extend it to the N-body case are pointed out.In Portuguese. To appear in Revista Brasileira de Ensino de Fisica (RBEF)Classical Physicstext