We derive the second post-Newtonian solution for the quasi-Keplerian motion of a charged test particle in the Reissner-Nordström spacetime under harmonic coordinates. We formulate the solution in terms of the test particle’s orbital energy and angular momentum, both of which are constants at the second post-Newtonian order. The charge effects on the test particle’s motion including the orbital period and perihelion precession are displayed explicitly. Our results can be applied to the cases in which the test particle has small charge-to-mass...
