  The scattering of spinning test particles by a Schwarzschild black hole is
studied. The motion is described according to the Mathisson-Papapetrou-Dixon
model for extended bodies in a given gravitational background field. The
equatorial plane is taken as the orbital plane, the spin vector being
orthogonal to it with constant magnitude. The equations of motion are solved
analytically in closed form to first-order in spin and the solution is used to
compute corrections to the standard geodesic scattering angle as well as
capture cross section by the black hole.
