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3) Say you've got a space shuttle on a deep space mission (Jupiter, etc). All communication is lost with earth through some sort of damage. Is there any way NASA would be able to tell that the shuttle still exists? Or would they have no way of knowing whether it's been destroyed without hearing from the astronauts?
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There are several radio dishes around the world (Arecibo, Jodrell Bank, Goldstone, etc) that have the capability of bouncing radar signals off the Shuttle at that distance.