Solar Blackbody Temperature

solar blackbody temperature
solar blackbody temperature
equations of energy balance (mathematics of climate change)?

1) Consider an atmosphere with N layers, which everyone is totally transparent to sunlight, but acts as a perfect blackbody absorption regarding the infra-red. Suppose an albedo planetary and solar constant leading to an effective temperature radiative Te. a) Impairment of the balance equations of energy to the surface and the top of the atmosphere-. b) Show that the temperature of the atmosphere is given by th: T_i = {0.5 * (T_ (i +1) ^ 4 + T_ (i-1) ^ 4)} 0.25 ^ im using planetary albedo alpha sigma = S_0 solar constant = Stefan-Boltzmann constant = 5.67 x 10-8 W m-2 K-4, T_e = effective radiative temperature of I (1-alpha) * (S_0 / 4) = sigma * (T_e) ^ 4

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