Radial position of the density perturbation maximum (red curve, vortex position) and orbital evolution of planets A (green curve, top panel) and B (green curve, bottom panel). The black lines show the theoretical orbital evolution of the same planets in a power law disk model. The grey area corresponds to the positive total torque region around the vortex and the blue area shows the vortex Hill sphere in the vortex-point-mass model. The blue line shows the evolution of the same planets in the locally isothermal disk model.