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It was actually investigated. Turns out that to enable such a flight the Shuttle and its ET would have to be refueled in LEO, which would take about 13 to 15 lanunches of the Shuttle-C cargo carrier.
http://www.orbiter-forum.com/showthread.php?t=21793
Don't worry, the sarcasm dies down after around post 5...:lol:
Seriously though, interesting idea.
But can you also return?
Problem is that the necessary change of velocity is about 7km/s (three and a half to "escape" from LEO to the Moon, and again a similar amount to circularise orbit upon return to reduce strain on the heat shield, which just can't support direct reentries).
And that's without even bothering to put ourself in orbit around the Moon.
My guess is that the document this person is referring to is the one I posted here and that he confuses the main engines with the OMS pods.