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Calculating Earth's Planetary Equilibrium Temperature as a Black Body in Astrophysics

This concept derives Earth's planetary equilibrium temperature by modeling the planet as a perfect black body in radiative energy balance with the Sun, using the Stefan-Boltzmann law for outgoing radiated energy and a geometric correction (accounting for the illuminated hemisphere and angle of incidence) for incoming solar energy. It belongs to astrophysics/planetary radiative equilibrium, illustrating how the black-body approximation relates to real atmospheric effects such as the greenhouse effect that are excluded from the calculation.