Why does the shuttle orbiter "roll" to the bottom shortly after launch?
The Space Shuttle "rolls over" onto it's back to reach orbit for almost the same reason an airplane turns after leaving the runway. That is, in order to turn into the direction it wishes to go.

While an airplane does not "roll over" like the Space Shuttle, airplanes don't travel above the atmosphere! In going from 0 to 17,500 miles per hour in just 8 minutes, the "vector of thrust" (the direction that the rocket engines push) must go from the rocket engines (at the bottom of the orbiter), through the center of gravity of the entire Space Transportation System (Orbiter, External Tank, and Solid Rocket Boosters). This means that the engines need to be "underneath" the Shuttle as it blasts through the atmosphere, overcoming the Earth's gravity, until it gets to orbit, where gravity doesn't mean as much any more. In the process of "going uphill" (as the astronauts call it), the crew is pretty much "upside-down" in their seats! However, with 3 G's (three gravities) of acceleration of the launch pushing them into their seats they hardly notice the 1 G of force in the "wrong" direction on their way "up" to orbit.

There is also a NASA provided answer to this question, and also a good animation of a Shuttle launch at NASAkids.Com.

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