Posterior kick distributions resulting from our eccentricity-constrained estimates for GC isotropy (green lines) and LSR isotropy (purple lines) and for the exponential disc (dark lines) and Gaussian annulus (light lines) prior. The panels show the normalised results from integrating the posteriors in Appendix B over ẽ, meaning the lines trace the values of a histogram with bins of 10 km/s. Each panel shows the distributions for an individual BNS except the lower-right panel, which combines all distributions.