Systemic recoil velocities of MSPs formed indirectly via AIC. The two upper panels show sample calculations of the recoil velocities, v_sys obtained for a fixed kick of w = 50km s^-1 and kick angles θ = 0 − 180° (upper panel), or a fixed value of θ = 36° and kicks w = 0 − 100km s^-1 (central panel), in both cases as a function of the pre-AIC orbital separation, a₀. The lower panel shows v_sys as a function of kick velocities, w for fixed values of a₀ and variable values of θ = 0 − 180°. In all cases we assumed a companion star mass of at the moment of the AIC. AIC events are generally believed to have w ≃ 0 (i.e. without a kick). See text for discussions.