A screenshot of the movies available as online material (for models M1000, M20000, and M20000_e). The (a) to (f) panels show the total evolution of Galactocentric position (x, y, z) and velocities (v_x, v_y, v_z) with time. The points at a given time of the movie are marked by red dots. (g) The Galactocentric distribution of all particles in the simulations. (h) The 3D distribution of particles in the corotating frame and with the origin at the cluster centre (i.e. the clustercentric corotating frame). (i) The distribution of Δφ_{galactocentric} with z_{galactocentric}. (j) The XY distribution of particles in the clustercentric corotating frame. (k) Same as panel (j) but zoomed in near the cluster centre. The points in panel (g) to (k) are coloured according to their clustercentric z co-ordinate, and the time of the snapshot is written in the corner. The cluster orbit and velocity are shown as the grey curve and black arrow, respectively.