Otherwise Q - out (water / home) would be enormous (difference of fourth power of temperatures). (climateofsophistry.com)
Work out how that change is modified by distance (radiative power varies with the fourth power of temperature and energy density does down with the second power of distance. (realclimate.org)
The fact is the atmosphere emits energy (EM radiation) in proportion to the fourth power of its temperature. (climateofsophistry.com)