A spherical satellite of diameter D is in orbit about the

Chapter , Problem 12.13

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A spherical satellite of diameter D is in orbit about the earth and is coated with a diffuse material for which the spectral absorptivity is 0.6 for 3 m and 0.3 for 3 m. When it is on the dark side of the earth, the satellite sees irradiation from the earths surface only. The irradiation may be assumed to be incident as parallel rays, and its magnitude is GE 340 W/m2 . On the bright side of the earth the satellite sees the earth irradiation GE plus the solar irradiation GS 1368 W/m2 . The spectral distribution of radiation from the earth may be approximated as that of a blackbody at 280 K, and the temperature of the satellite may be assumed to remain below 500 K. What is the steady-state temperature of the satellite when it is on the dark side of the earth and when it is on the bright side? 12.131