Similar to Fig. 5, but for trajectories exiting at the outer boundary are shown instead of the Jovian magnetosphere. Left panel: distribution of unweighted exit times of trajectories exiting at the outer boundary. We note that the maxima are in loose agreement with the analytical estimation as suggested by Parker (1965) given by the dashed white and black line. Right panel: influence of weighting with Eq. (8) together with the numerical solution indicated in red and two estimations of the revised analytical solution given by Eq. (14).