  We calculate the unregularized monopole and dipole contributions to the
self-force acting on a particle of small mass in a circular orbit around a
Schwarzschild black hole. From a self-force point of view, these non-radiating
modes are as important as the radiating modes with l greater than 2. In fact,
we demonstrate how the dipole self-force contributes to the dynamics even at
the Newtonian level. The self-acceleration of a particle is an inherently
gauge-dependent concept, but the Lorenz gauge is often preferred because of its
hyperbolic wave operator. Our results are in the Lorenz gauge and are also
obtained in closed form, except for the even-parity dipole case where we
formulate and implement a numerical approach.

General Relativity and Quantum Cosmology