Schematic diagram of the evolution of Jupiter Trojans as a consequence of an outward migrating Jupiter with a speed larger than . This figure is plotted in a reference frame rotating with the mean motion of Jupiter. The L4 Trojan is assumed to start from point A. In the case of a non-migrating Jupiter, it will move on the original orbit (black curve), while in the case of a jumping-Jupiter with , it will first drift to point B and then move on the expanded orbit (green curve). Similarly, the L5 Trojan will switch from the black orbit to the green orbit after the drift from point C to point D caused by the jumping Jupiter. The direction of the tadpole motion is indicated by the orange arrow, for both the black and green orbits.