2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/194895We discuss the covariant formulation of the dynamics of particles with abelian and non-abelian gauge charges in external fields. Using this formulation we develop an algorithm for the construction of constants of motion, which makes use of a generalization of the concept of Killing vectors and tensors in differential geometry. We apply the formalism to the motion of classical charges in abelian and non-abelian monopole fields15 pages, no figuresHigh Energy Physics - Theorytext