Consider two bodies in circular orbit around the Earth at an altitude of 800 km above the surface of the Earth. Each body has a mass of 1800 kg. One body is a slender cone with a total vertex angle of 10°. The other body is a sphere. For the cone, the pressure drag coefficient at hypersonic Mach numbers is 0.017 and the skin friction drag coefficient is 0.01. For the sphere, the pressure drag coefficient is 1.0 and the friction drag coefficient is 0.001. Calculate and compare the total aerodynamic heating input to each body during atmospheric entry.