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DTU Satellite Systems and Design Course Cubesat Thermal ... - CRN

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Danish Space Research Institute<br />

Danish Small <strong>Satellite</strong> Programme<br />

Radiation into Cold Space<br />

The infrared radiation in Watts into cold space from a surface (radiator) having the area A r , the<br />

absolute temperature T r <strong>and</strong> the emissivity ε is given by:<br />

Q e = ε⋅σ⋅A r ⋅(T r4 -T 04 )<br />

where σ = 5.6696⋅10 -8 W⋅m -2 ⋅K -4 is the Stephan-Boltzmann constant<br />

<strong>and</strong> T 0<br />

is the temperature of the cosmic background radiation, which closely matches the spectral<br />

properties of black-body radiation from a 2.7 K warm body. As the temperature is to the fourth<br />

power, a very good approximation is:<br />

Q e<br />

= ε⋅σ⋅A r<br />

⋅T<br />

4<br />

r<br />

FH 2001-08-29<br />

<strong>Cubesat</strong>_<strong>Thermal</strong>_<strong>Design</strong>.ppt<br />

Slide # 10

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