Smallest orbital rocket JAXA SS-520. Just 10m, can launch a 4kg cubesat.
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Depressing but I don’t think Star Trek shuttle class vehicles are possible. Punching out of earth gravity well with a minimal human vehicle will always take a certain minimum size 😐
Not counting space elevators
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SpaceX starship is to small orbital shuttles as jumbo jets are to flying cars. Except impossible rather than merely impractical.
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Replying to
*with chemical rockets and (honestly reasonable) distaste for atmospheric nuclear thrust

