Satelite and heat from sun and earth.

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Homework Statement


Assume that a satellite can be modeled as a thermally leading sphere with radius 0.5m and its energy consumption is 200W, and its surface can be described with α=0.3 and ε=0.9.
Determine the equilibrium temperature of satellite in these cases:
a) Satellite is between earth and sun;
b) Earth is between satellite and sun;
c) Satellite is far away from stars or planets.
Assume that Suns radiation is 1367 Watt/m^2, from earth reflected 410 Watt/m^2 and that earths thermal radiation can be modeled as black body radiation with temperature T=255 K


Homework Equations





The Attempt at a Solution


I know this law R_T=δ*b(T^4-T_∞^4) and the equilibrium state is when radiation=R_T,but thats only the case when one side of the body is isolated. But here i have radiation coming from 2 directions. So can someone please help me, with some ideas ?
 

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