Comparison between our kick estimates as constrained through ẽ (solid lines) and peculiar velocities (v_pec) at the first disc crossing (dashed lines) for GC isotropy (green lines) and LSR isotropy (purple lines). For both isotropies, we show the average between the results using the exponential disc prior and the ones using the Gaussian annulus prior (as shown in Fig. 11). The lines trace normalised histograms with bins of 10 km/s.