A spacecraft and a satellite are at diametrically opposite positions in the same circular orbit of altitude 310 mi 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. Knowing that the spacecraft returns to A at the same time the satellite reaches A after completing one and a half orbits, determine(a) The increase in speed required,(b) The periodic time for the ellipticorbit.

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Satellite R-3960 mi Spacecraft 310 mi