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I am not saying that it can not be done. I am just saying that it does not seem cost-effective. The ISS costs 100G$ for development and running over a decade, so lets call it 10G$/year. Of course, the solar panels (a modest 120kW) are likely not the most expensive part, and mass production would drive the costs further down.
Still, back dirtside I can get a 1MW peak solar plant for less than 1M$ (to generously allow for the lower efficiency as compared to LEO; excluding land prices), which is possibly less than the ISS spent on space-certified bolts to mount their solar arrays.
As a further complication, transporting electric energy is a lot easier than transporting heat. If your compute is all in one place, you will want convection cooling, which means pumping some fluid to heat exchangers. I am not sure what the ideal fluid for space cooling is, actually. With water, you would have to build pipes to handle the vapor pressure of about one atmosphere, which will likely be heavy. And if space junk punctures your heat exchanger (which is a concern with 50mx50m panels), that will quickly lead to a loss of operating fluid for that loop.
As an alternative, you could spread out your electronic components evenly over the area of your radiator. However, your H200 (TDP 600-700W) will take about two square meters of radiator for cooling, so you will want at least heat pipes instead of relying just on conduction.
Or you could double down on fluid pumping and use a heat pump, so you can run your radiator at higher temperatures than your electronics. The coefficient of performance for cooling is T_C/(T_H-T_C), so if you want to run your radiator at 800K, you will need as much energy for your compressor as for your electronics, for an 8x reduction in required radiator area. Most refrigerants have a critical temperature (beyond which the refrigeration cycle does not work) lower than 800K, R-110 comes close with a critical temperature of 700K. Of course, the critical pressure is 39 atmospheres, so you would require massive pipes per Barlow's formula.
As a kicker, one 1MW-facility would cover 1/50000th of humanity's data center needs.
Google's AI claims that electricity costs are about 10-20% of the TCO of a data center (and only 60% of the operating expenses). This means that even if Musk shipped your solar panels to LEO free of charge (or even provided them for free altogether), all the hassle with radiators and comms and lack of equipment replacement options means that it would very likely not be worthwhile.
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