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I have no real idea what the point of it is, but Third Rock Radio, which bills itself as "America's Space Station" has apparently been running online since 2011.
Why would NASA operate a rock and roll radio station? I guess the answer might just as well be "why not?"
From their splash page:
"The ongoing mission of Third Rock Radio is a built around a blend of art and science designed to bring young adults closer to science, engineering and technology. Through a high-energy connection to new music discovery, “explore and discover” theme spotlights the work of NASA, and its private industry partners, that seek to create a sustainable future for all."
It offers a pretty eclectic playlist filled with new artists. What does this have to do with space or the National Aeronautics and Space Administration, along with rock music? (Would that make it "space rock?") I have no idea, but you can set your own atmosphere by listening to the thing here.
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I know they don't play oldies, but might I suggest Herman's Hermits' "A Must To A Void?"