Earlier quoted context omitted.
σ is such a small number in Stefan-Boltzman that it makes no difference at all until your radiators get hot enough to start melting. You not only need absolute huge radiators for a space data centre, you need an active cooling/pumping system to make sure the heat is evenly distributed across them. I'm fairly sure no one has built a kilometer-sized fridge radiator before, especially not in space. You can't just stick…
Out of curiosity, I plugged in the numbers - I have solar at home, and a 2 m2 panel makes about 500w - i assume the one in orbit will be a bit more efficient without atmosphere and a bit more fancy, making it generate 750w. If we run the radiators at 80C (a reasonable temp for silicon), that's about 350K, assuming the outside is 0K which makes the radiator be able to radiate away about 1500W, so roughly double. Depen…
It receives around 2.5kW[0] of energy (in orbit), of which it converts 500W to electric energy, some small amount is reflected and the rest ends up as heat, so use 1kW/m^2 as your input value.
> If we run the radiators at 80C (a reasonable temp for silicon), that's about 350K, assuming the outside is 0K which makes the radiator be able to radiate away about 1500W, so roughly double.
1500W for 2m^2 is less than 2000kW, so your panel will heat up.
[0] https://www.sciencedirect.com/topics/engineering/solar-radia...