1) A satellite of mass M travels at angular speed w in a circular orbit at a height h above the surface of a planet of mass M and radius R. a) Show that the orbital period, T of the satellite is given by T^2 = 4 ^2(R+h)^3/ GM b) Explain why the period of a satellite in orbit around the Earth cannot be less than 85 minutes. Your answer should include a calculation to justify this value. Mass of the Earth = 6.00 * 10^24 kg Radius of the Earth = 6.49 * 10^6 M c) Describe and explain what happens to the speed of a satellite when it moves to an orbit that is closer to the Earth. d) State what is meant by gravitational field strength at a point in a gravitational field