On Earth, air molecules can carry heat away from you. You transfer heat to the air around you. In space, there is almost no matter around you to absorb the heat and carry it away from you.
Your only option is to radiate heat away from you in the form of infrared light but that is a slow process.
So ... the heat stays put and doesn’t go anywhere?
But more importantly, space is empty, and the best way to cool is to dump heat in some medium which carries it away (air is the basic one on Earth, but applications that really need cooling like to use water as a primary medium.) In space you've got...nothing, basically, somyou are stuck with radiating, which works, but poorly.
Here's the thing though. There's very little matter even in low earth orbit, so you can't use matter to transfer heat, as you would do on Earth (conduction and convection are out). That leaves only radiation, which requires a pretty large surface area. Try placing a computer on vacuum even on Earth and report back how the temperature looks like.
So no. Getting rid of heat is a big issue over there. Even in the shade.
Also, if you think about this in the context of the Sun, you get a really visceral feel for just how much energy is being produced. Black-body alone is transferring that energy to us. Scary.
[0] https://spacenews.com/33046spate-of-solar-array-failures-on-... [1] https://sat-nd.com/failures/index.html?https://sat-nd.com/fa...
Nope, hence leveraging Amazon et al. I would consider the AWS "above the cloud" offering (as I've now dubbed it) to essentially be the same commoditized thing as what you linked. An extraterrestrial CDN with edge compute if you will.
All of this equipment can usually fit within a rack or two. The downlink stuff can fit within a few U. Uplink involves some big power amplifiers. Back in the 60s it would have involved dozens of racks of equipment.
"Underwater", meanwhile, is more of a mode of operation / design for data centers, with the goal of that simplifying (and decreasing costs for) cooling.
An underwater data center doesn't imply that the data center is actually off-shore to any large degree. I'd imagine they'd look more like undersea-cable landing points, built "into" a beach.
If a published study on this exists, I'd love to take a look.
It'll certainly not be worse for the environment than any normal data centre, unless it springs a leak and something toxic escapes.
Then again, I'm a bit biased - I worked on both Phase 1 and 2.
Also, I guess it would solve the problem of it being expensive to put things in space by virtue of somehow having made someone else pay for vast overcapacity of sensors.