While describing a circular orbit, 264 km above the surface of the earth, a space shuttle ejects at point A an inertial upper stage (IUS) carrying a communication satellite to be placed in a geosynchronous orbit (see Prob. 12.81) at an altitude of 35 780 km above the surface of the earth. Determine
(a) The velocity of the IUS relative to the shuttle after its engine has been fired at A,
(b) The increase in velocity required at B to place the satellite in its finalorbit.