A small satellite is in orbit around the Earth at a height of 1500 km above the surface. It has a mass of 100 kg, a diameter of 1 m, an absorptivity of 0.8 for IR radiation and 0.4 for visible radiation. a) What solid angle does the Earth subtend when viewed from the satellite? b) Calculate the radiative equilibrium temperature of the satellite when it is in the shadow of the Earth. c) What is the radiative equilibrium temperature of the satellite at the moment when it passes completely out of the shadow of the Earth? (Note that at this time the Earth is still completely dark when viewed from the satellite.