This is an interesting question. The emission of radiation is proportional to the absolute temperature to the fourth power. So, the hotter something gets the fa

This is an interesting question. The emission of radiation is proportional to the absolute temperature to the fourth power. So, the hotter something gets the faster it radiates energy out. Its nonlinear so theres definitely some winning strategy. Energy in is constant, but energy out could vary. I think the way to maximize the energy leaving the planet is to not rotate at all. The energy input would be concentrated and you would have one side very hot — and the hot side would dump the most energy back into space.