Motion of charged particles on the Reissner-Nordstr\"om (Anti)-de Sitter black holes

In this work we address the study of movement of charged particles in the background of charged black holes with non-trivial asymptotic behavior. We compute the exact trajectories for massive-charged particles in term of elliptic Jacobi function. Finally we obtain a detailed description of orbits for Reissner-Nordstr\"om (Anti)-de Sitter black holes in terms of charge, mass and energy of the particles.