That said, for L1 and L2 points, one must be very careful when attempting to maintain a position at the point - it is impossible to be spot-on it, and, on top of that, the gravity of other bodies will pull you off the point, albeit slowly. For example, if we were considering a Shuttle-A at the Earth - Moon L1 point, the gravity of the Sun, Jupiter, Saturn, and perhaps even Mars and Venus would all affect and pull on the Shuttle-A. Hence, the Shuttle-A would occasionaly have to modify it's orbit and use it's thrusters to move back towards the L1 point.
I know you're about to ask: How do I get to a Lagrange point in Orbiter? You might be thinking to yourself: "That would make one kick-
smurf place for a space station!" Or, you might be thinking something something completely different. Allow me to point you to this:
Lagrange MFD. That said, if you do figure out how to use it, do tell, for I can't make head nor tale of it.