I was also momentarily nerdsniped earlier by looking up the capacity of space power tech[0] (panel yields, battery technology, power density references), but bailed early because it'll actually need some proper spelunking. doubly so because I'm not even nearly an expert on space shit
in case anyone else wants to go dig through that, the idea: for compute you need power (duh). to have power you need to have a source of energy (duh). and for orbitals, you're either going to be doing loops around the planetoid of your choice, or geostationery. given that you're playing balancing jenga between at minimum weight, compute capacity, and solar yield, you're probably going to end up with a design that preferences high-velocity orbitals that have a minimal amount of time in planetoid shadow, which to me implies high chargerate, extremely high cycle count ceiling (supercaps over batteries?), and whatever compute you can make fit and fly on that. combined with whatever the hell you need to do to fit your supposed computational models/delivery in that
this is probably worth a really long essay, because which type of computing your supposed flying spacerack handles is going to be extremely selected by the above constraints. if you could even make your magical spacechip fucking exist in the first place, which is a whole other goddamn problem
[0] - https://www.nasa.gov/smallsat-institute/sst-soa/power-subsystems/ (warning: this can make hours of your day disappear)