  We obtain all ``regularization parameters'' (RP) needed for calculating the
gravitational and electromagnetic self forces for an arbitrary geodesic orbit
around a Schwarzschild black hole. These RP values are required for
implementing the previously introduced mode-sum method, which allows a
practical calculation of the self force by summing over contributions from
individual multipole modes of the particle's field. In the gravitational case,
we provide here full details of the analytic method and results briefly
reported in a recent Letter [Phys. Rev. Lett. {\bf 88}, 091101 (2002)]. In the
electromagnetic case, the RP are obtained here for the first time.
