(Solved): A spacecraft and a satellite are at diametrically opposite positions in the same circular orbit of a ...

A spacecraft and a satellite are at diametrically opposite positions in the same circular orbit of altitude r = 525 km above the earth. As it passes through point A, the spacecraft fires its engine for a short interval of time to increase its speed and enter an elliptic orbit. The spacecraft returns to A at the same time the satellite reaches A after completing one and a half orbits.Determine the increase in speed required. Earth's radius is 6370km.