  Numerical simulations of the dynamics of an elastic collision between a rigid
sphere and an elastic half-space are carried out. We assume an Amontons-Coulomb
frictional force with a fixed coefficient of friction between the contacting
surfaces during the impact. As a result of modeling a dimensionless function,
describing the tangential restitution, is found. It depends only on a small set
of governing dimensionless parameters and allows the determination of the
sphere's tangential velocity and angular velocity after the collision. This
function is used to calculate the tangential velocity recovery rate and the
cyclic rotation frequency of a sphere for the parameters of a particular
experiment on particle reflection of an aluminum alloy from a glass plate. The
obtained results with high accuracy coincide with the experimental data, which
confirms the adequacy of the proposed numerical model.
