A space shuttle S and a satellite A are in the circular orbit shown. In order for the shut...

A space shuttle S and a satellite A are in the circular orbit shown. In order for the shuttle to recover the satellite, the shuttle is first placed in an elliptic path BC by increasing its speed by Δ υB =85m/s as it passes through B. As the shuttle approaches C its speed is increased by Δ υC=79 m/s to insert it into a second elliptic transfer orbit CD .Knowing that the distance from O to C is 6900 km, determine the amount by which the speed of the shuttle should be increased as it approaches D to insert it into the circular orbit of the satillet.