[QUOTE=Leaffan]
But once in a vacuum, the amount of fuel used to propel, steer, accelerate, decelerate must be fractional. I can’t believe that fuel restrictions are the reason behind having to enter the atmosphere at insanely excessive velocities.
[/QUOTE]
I think you may be confused about the difference between velocity and acceleration. In a vacuum, with no resistance, things tend to maintain a constant velocity (speed relative to some other object, like the earth.) That’s why once you’re in orbit, it doesn’t take much more fuel to get to the moon. Line up the ship, fire the engines, and off you go and you don’t stop until you reach lunar orbit.
Acceleration is a change in velocity. To achieve any change in velocity, whether speeding, slowing down, or changing direction, you need more energy. In space, your only real choice is rocket fuel. Unless you’ve got a photon sail on board. But we haven’t invented those yet.
Now, to get into earth orbit, you must act against the earth’s gravity. As it turns out, acceleration and gravitation are actually kinda the same thing so the math is pretty simple. To get into earth orbit requires a rocket that can accelerate you from standing still on the launch pad to about 17,000 miles per hour. Then you can shut the engines off.
Now you’re in a vacuum, and your engines are off, which means you continue moving at a constant velocity. You are traveling 17,000 miles per hour relative to the surface of the earth, and you have to slow down back to a standstill to get back there. You need to apply the same amount of force to slow you back down to zero as you did to get you up to 17,000. That’s a change in velocity which means it’s acceleration.
When you blasted off, you had some humongous tanks of rocket fuel to get you up to orbital speed. You also had the advantage of being pointed in the direction you were traveling – like a bullet – so air resistance is pretty low.
To accelerate back down, the shuttle re-enters at an angle, using its wings to create drag, and eventually flattening out to horizontal flight. It then flies around a bit back and forth with the express purpose of slowing itself down against the atmosphere. This creates a lot more resistance than shooting straight through, causing the shuttle to get quite toasty indeed.
From launch to earth orbit takes a shuttle about ten minutes. To glide the shuttle to a landing takes significantly longer.