  We study the motion of neutral test particles in the gravitational field of
two charged black holes described by the extreme Reissner-Nordstr{\o}m dihole
metric where the masses and charges of the black holes are chosen such that the
gravitational attraction is compensated by the electrostatic repulsion. We
investigate circular orbits in the equatorial plane between the two black holes
with equal masses as well as the case of circular orbits outside this symmetry
plane. We show that the first case reduces to an effective two-body problem
with a behavior similar to a system described by the Reissner-Nordstr{\o}m
spacetime. The main focus is directed to the second case with circular orbits
outside the equatorial plane.
