Schematic illustration of the kick-drift-kick integration scheme employed in this study. The initial positions x_i and momenta p_i are evolved to their final values, x_f and p_f, with updates to these quantities occurring at different times. Unlike traditional kick-drift-kick integration, we choose not to evaluate forces that appear in the equations of motion at all time steps, but only at a subset (steps 8, 9 and 10 in this example). At all other kick steps, the momenta are updated according to the emulated frame of reference only.