LOL...I should charge you for Tutoring ;-)...
The Physics of Heat Dissipation/Transfer in Space doesn't change, whether Elon Musk or Google is trying to build a Datacenter there...once again, watch the video and read the APS Summary on this topic. Bottom Line:...It's a Waste of Money and Resources to build AI Datacenters in Space, as opposed to doing so on Earth. Only someone who makes and launches Rockets would even Dream of putting them in Space...(Get the Hint???) ;-)...Another way of thinking about it..."Could you do it?...yes...Should you do it?...NOOOOOO! ;-)
Btw, here's a portion of the Wikipedia page for Datacenters in Space...same story...
https://en.wikipedia.org/wiki/Space-based_data_center
_______________
Disadvantages
The deployment of space-based data centers raises several technical, economic, and environmental concerns.
· Existing launch costs are substantial and remain the main cost of space infrastructure deployment
· Cooling is limited to heat dissipation through radiation only. This is inefficient compared to convection used in terrestrial data centers
· Space infrastructure must be designed to survive launch and to work under environment conditions of radiation, wide range of temperatures, in vacuum and in microgravity
· In-space assembly is in an early development stage to enable deployment of mega-structures
· Megastructures are particularly exposed to orbital debris
· Solar arrays efficiency decrease 0.5% to 0.8% per year due to exposure of ultraviolet rays, space weathering and orbital thermal cycles[20]
· Hardware is designed for limited lifespan[21]
· Maintenance and repair in space, known as on-orbit servicing (OOS), is still in an early stage of practical implementation[22][23]
· Disposable data centre: technology obsolescence of AI data centre being a concern and difficult maintenance in space imply the single-use purpose of those space data centres[citation needed]
· To extend lifetime, space infrastructure will require either refueling or orbit raise by the servicer, which would increase its operational costs
· Sun-synchronous orbit is a limited resource and proper management and sharing of it is required[24]
· The environmental impact on Earth has its own challenges
· The environmental impact of launches need to be addressed[25][26]
· Deployment consumes Earth resources that cannot be recovered or recycled; computers require many resources, some of which are strategic and recycling e-waste is already a challenge on Earth and extremely unlikely in space[27]
· Space debris (orbit pollution) is another sustainability challenge for space
· Orbits are, like any resource, a limited physical and electromagnetic resource and available for all mankind; the accumulation of satellites on a particular orbit reduces the use of space for other purposes[28]
· A consequence of the increase of satellites in orbit is a higher risk of the runaway of space debris (see Kessler syndrome) which means some orbits could become unusable[29][30][31]
· Latency and bandwidth are constrained in space, and consume limited electromagnetic resources
· Satellite flares could inhibit ground-based and space-based observational astronomy[32]