  We investigate the hyperbolic scattering of test particles, spinning test
particles and particles with spin-induced quadrupolar structure by a Kerr black
hole in the ultrarelativistic regime. We also study how the features of the
scattering process modify if the source of the background gravitational field
is endowed with a nonzero mass quadrupole moment as described by the
(approximate) Hartle-Thorne solution. We compute the scattering angle either in
closed analytical form, when possible, or as a power series of the
(dimensionless) inverse impact parameter. It is a function of the parameters
characterizing the source (intrinsic angular momentum and mass quadrupole
moment) as well as the scattered body (spin and polarizability constant).
Measuring the scattering angle thus provides useful information to determine
the nature of the two components of the binary system undergoing high-energy
scattering processes.
