Consider a black cubesat measuring 10x10x10 cm3, with the top panel perfectly oriented perpendicular to the...

Consider a black cubesat measuring 10x10x10 cm³, with the top panel perfectly oriented perpendicular to the direction to the Sun. The satellite is in orbit around Earth (h = 500 km). The energy balance is given by one of the equations on the fact sheet (where T represents temperature [K], m the mass of the satellite (here: 3 kg), c_p the specific heat coefficient, α the absorption coefficient (here: 1.0), A_in is the cross-sectional area exposed to sunlight, S the amount of incoming radiation, ε the emission coefficient (here: 1.0), A_out the surface area available for emittance of radiation, Q_internal the amount of internally generated heat, and σ the Stefan-Boltzmann constant). Provided that an equilibrium temperature of the satellite of 20° C is required, what would be the necessary amount of internally generated heat? Note: 0° C corresponds to 273.15 K.

The answer is 11.5 W , but I would like to know the detailed steps behind it

Expert Solution

genius_generous answered 2 years ago

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