A weather satellite is launched into circular orbit around the Earth, at an altitude h. The satellite's mass is m, and it was launched from Earth's surface (Use the following as necessary: RE for the radius of the Earth, ME for the mass of the Earth, G for the gravitational constant, m, and h.) (a) How long does the satellite take to complete one circular 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. (Use the following as necessary: RE, ME, G, m, h, and TE for the period of Earth's rotation.) (d) If the mass of the satellite is 190 kg and its final orbit is at a height of 700 km above the surface, find out the numerical values of the part (a), (b) and (c).