Consider as a system the sun with saturn in a circular orbit around it. find the magnitude of the change in the velocity of the sun relative to the center of mass of the system during the time saturn completes half an orbit. assume the mass of the sun is 5.68 1029 kg, the mass of saturn is 5.68 1026 kg, its period is 9.29 108 s, and the radius of its orbit is 1.43 1012 m. ignore the influence of other celestial objects.