PDF of μ₃ = cos θ₃ the cosine of the angle between r_gs and the major axis of the central galaxy for oblate (dashed line) and prolate (solid line) centrals. Prolate centrals have their satellites aligned along their major axis, which is consistent with the fact that this axis is more often aligned with the spin in this case. Oblate centrals display a certain degree of satellite alignment too, which is consistent with the distribution of satellites tracing the underlying triaxiality of their host halo.