A spherical satellite of diameter Dis in orbit aboutthe

Chapter 12, Problem 12.130

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A spherical satellite of diameter Dis in orbit aboutthe earth and is coated with a diffuse material forwhich the spectral absorptivity is ???0.6 for ?3 ?m and ???0.3 for ??3?m. When it is on thedark side of the earth, the satellite sees irradiationfrom the earths surface only. The irradiation may beassumed to be incident as parallel rays, and its mag-nitude is GE?340 W/m2. On the bright side of theearth the satellite sees the earth irradiation GEplusthe solar irradiation GS?1368 W/m2. The spectraldistribution of radiation from the earth may beapproximated as that of a blackbody at 280 K, andthe temperature of the satellite may be assumed toremain below 500 K.What is the steady-state temperature of the satellitewhen it is on the dark side of the earth and when it ison the bright side?

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