5) A rocket of mass m is in a circular orbit around the Earth. a) What is its period if the orbital radius is the same as that of the Earth? b) What is the orbital radius is it is in geosynchronous orbit, that is it remains above the same point on the surface of the Earth at the equator? c) While in geosynchonous orbit, the rocket is given a small radial impulse, setting it into small oscillation. Find the period of oscillation.