Question

Solar constant on earth is 1.36x10(3)Wm-2,if mars is at a distance 1.52AU from the sun, calculate the solar constant on mars applying Stefan law

Answer 1

The solar constant is a power of solar electromagnetic radiation per unit area. The Stefan’s Law gives

Power=σT^4 A

Here A is an area of Sun surface.

The power of solar electromagnetic radiation per unit area near surface of planet

Solar constant=G_sc=(σT^4 A)/(4πa^2 )

So

(G_sc (Mars))/(G_sc (Earth) )=(a_E^2)/(a_M^2 )=(1 AU)^2/(1.52 AU)^2 =0.433

Finally, the solar constant on Mars

G_sc (Mars)=0.433×G_sc (Earth)=0.433×1.36×〖10〗^3=0.589×〖10〗^3 W∙m^(–2)



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