Time evolution of change in angular momentum, ΔJ = J(t) – J(t = 0) normalized to the maximum amount (J_max) moved by the system. The measurement is made for four discrete regions, inside and outside R = 12 kpc for each disk and dark matter halo. The disk inside (outside) R = 12 kpc corresponds to the filled (empty) squares. The dark matter halo inside (outside) R = 12 kpc corresponds to the filled (empty) circles. The measurement is limited to a cylinder (∣z∣ < 10 kpc) as angular momentum does not move significantly beyond this region. The top plot shows results for the retrograde model, the middle plot shows the nonrotating model, and the bottom plot shows the prograde model.