  We study the motion of a test particle in a stationary, axially and
reflection symmetric spacetime of a central compact object, as affected by
interaction with a test radiation field of the same symmetries. Considering the
radiation flux with fixed but arbitrary (non-zero) angular momentum, we extend
previous results limited to an equatorial motion within a zero-angular-momentum
photon flux in the Kerr and Schwarzschild backgrounds. While a unique
equilibrium circular orbit exists if the photon flux has zero angular momentum,
multiple such orbits appear if the photon angular momentum is sufficiently
high.
