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henryqlu's idea is not legal so I wouldn't go there. Especially not with anything connected to Lucas, they are very aggressive with copyright infringement.
To the OP what you are actually asking for isn't possible. There will be no close up recordings of a shuttle launch because of the heat. It's also ah... LOUD.
Both of your statements are not true.
1st. Take an example: if you grab the sound from a movie or game in order to let your 1st-grade students feel how a space shuttle sounds like before and during its take off, I strongly doubt any judge would find it not legal and rule against it. After all, this is much easier to do than checking out the whole movie or game from your library and showing it to your classroom. Also, if in doubt, you can always write to the copyright owner and ask for permission to use an audio file or sound track found in their computer game. If they don't allow, you can move on and keep doing that until you find a generous owner. The "worst" case cannot be worse than this: pay a fee for your use of the sound.
2nd. There are audio/video recordings of space shuttles taking off, and there should be a lot sch recordings already (though how close is considered close can be debated). I watched them a few times in the past. By my memory, they don't sound like what you would typically hear in a movie/game, yet those movies/games are believable to me.
Alternatively, if you have the talents, you can always use certain software like Ableton Live to craft out such relatively simple sounds based on your own imagination, starting with certain recordings that don't have to be remotely like a rocket launching. A lot of sounds in computer games are created this way and they are so realistic/believable.
Once OP locates it, how OP actually uses, legally or not, is really up to OP.
Actually, just go to www.nasa.gov, select the "Legal" in the contact area, and ask them. Send an email and ask to speak to legal on the phone. Once you discuss your project with the lawyer, he/she will point you to Public Affairs, who'll point you to where you need to go.
And how we direct people to resources, legal or not, it a matter of policy/practice here (read: the promotion of piracy is not allowed). If you still need clarification on this, please read the "8 P's" of conduct in the Forum Guidelines. Suggesting that some one lift sounds from a Lucasfilm video game for their project is, for all practical purposes, advocating the theft of Lucasfilm's copyrighted content.
(As for copyright, either not an issue to you or a separate one)
Sorry to you OP, for this has gone quite off topic.