  We apply our method of indirect integration, described in Part I, at fourth
order, to the radial fall affected by the self-force. The Mode-Sum
regularisation is performed in the Regge-Wheeler gauge using the equivalence
with the harmonic gauge for this orbit. We consider also the motion subjected
to a self-consistent and iterative correction determined by the self-force
through osculating stretches of geodesics. The convergence of the results
confirms the validity of the integration method. This work complements and
justifies the analysis and the results appeared in Int. J. Geom. Meth. Mod.
Phys., 11, 1450090 (2014).
