2. Apply the virial theorem to a Hohmann transfer orbit. Begin with a 1 kg spacecraft that is orbiting the Sun in a circle at Pluto's orbit (40 A.U.). Apply a Al burn that causes the spacecraft to fall into an elliptical orbit that takes it into Mercury's orbit (0.4 A.U.) and then apply a second AT burn that causes the spacecraft to stay in a circular orbit at 0.4 A.U. Each Al burn "radiates" away energy from the spacecraft. Compute the energy "radiated" by each burn and then combine them to get the total energy "radiated" away. Next, compute the AKE and the APE between the 0.4 A.U. circular orbit and the 40 A.U. circular orbit. Finally, show that AKE = -APE/2 and that the energy "radiated" is equal to AKE. Further show that the net change in total energy is zero, fe. that energy is conserved