[9x39]

>What problem are data centers in space solving?

A hedge that as it gets harder to build datacenters in communities over water, power, noise, space, tax, etc reasons that space is a new frontier for them. Consider that solar power works better in space.

Also, satellites may be able to do processing of data in-orbit.

>I don’t know why you’re jumping from starlink to data centers in space.

You just mentioned it - cooling. Consider Starlink a POC of radiating computer heat in space. A datacenter would need a scaled-up version, but it is not impossible, although it could be impractical if the cost of compute doesn't rise enough.