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It is really hard, and it is something you need to take into careful consideration when designing a satellite.

It is really fucking hard when you have 40MW of heat being generated that you somehow have to get rid of.

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It's all relative. Is it harder than getting 40MW of (stable!) power? Harder than packaging and launching the thing? Sure it's a bit of a problem, perhaps harder than other satellites if the temperature needs to be lower (assuming commodity server hardware) so the radiator system might need to be large. But large isn't the same as difficult.
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Musk is already in the testing phase for this. His starship rockets should be reusable as soon as 2018!
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And in the meantime, he has responsibly redistributed and recycled their mass. Avoiding any concern that Earth's mass could be negatively impacted.
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Well sure. If you think fully reusable rockets won’t ever happen, then the datacenter in space thing isn’t viable. But THAT’S where the problem is, not innumerate bullcrap about size of radiators.

(And of course, the mostly reusable Falcon 9 is launching far more mass to orbit than the rest of the world combined, launching about 150 times per year. No one yet has managed to field a similarly highly reusable orbital rocket booster since Falcon 9 was first recovered about 10 years ago in 2015).

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How will he overtake all the other reusable rockets at this rate?
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