  A technique for extracting from the appropriate field equations the
relativistic motion of Schwarzschild, Reissner-Nordstrom and Kerr particles
moving in external fields is motivated and illustrated. The key assumptions are
that (a) the particles are isolated and (b) near the particles the wave fronts
of the radiation generated by their motion are smoothly deformed spheres. No
divergent integrals arise in this approach. The particles are not test
particles. The formalism is used, however, to derive the Mathisson-Papapetrou
equations of motion of spinning test particles, neglecting spin-spin terms.
