  We investigate the motion of uncharged particles scattered by a binary system
consisting of extremely charged black holes in equilibrium as described by the
Majumdar-Papapetrou solution. We focus on unbound orbits confined to the plane
containing both black holes. We consider the two complementary situations of
particles approaching the system along a direction parallel to the axis where
the black holes are displaced and orthogonal to it. We numerically compute the
scattering angle as a function of the particle's conserved energy parameter,
which provides a gauge-invariant information of the scattering process. We also
study the precession of a test gyroscope along such orbits and evaluate the
accumulated precession angle after a full scattering, which is another
gauge-invariant quantity.
