A satellite of mass m, originally on the surface of the Earth, is placed into Earth orbit at an altitude h. (a) With a circular orbit, how long does the satellite take to complete one orbit? (b) What is the satellite’s speed? (c) What is the minimum energy input necessary to place this satellite in orbit? Ignore air resistance but include the effect of the planet’s daily rotation. At what location on the Earth’s surface and in what direction should the satellite be launched to minimize the required energy investment? Represent the mass and radius of the Earth as ME and RE.