That's the neat thing: you don't, or at least not in the megawatt range. A kilowatt can be done with radiative cooling but doesn't get you far with a hypothetical datacenter satellite.
replySo, somehow the servers can run hot in space without a problem?
replyNo; if you try to do this you don't launch in the first place because the amount of servers required to be useful can't be cooled within your payload budget.
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