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Bill Gates-backed nuclear contender Terra Power aims to build dozens of UK reactors
(www.cityam.com)
This is a most excellent place for technology news and articles.
Batteries are already "there", with more chemistries entering production.
You know how nuclear power works, right? It heats water to turn it into steam, which drives turbines so it needs a water source. It's not something you can use in space. The Mars rover uses the natural decay of plutonium-238 to turn heat into electricity, it's a completely different thing, no fission required.
The water source is used only for cooling; the heated steam is condensed and fed back into the reactor in a closed loop. While cooling is more difficult in space than on Earth, it's not impossible.