Either there was a mistake in the script or George Clooney misspoke.
And even more jarring is the fact it appears to be closed from the right side outside. but inside it is closed from the left.
Errors in geography
However, the array of TRDS comsats, used to free the shuttle from constantly having to be in sight of a ground station, are in LEO to reduce the signal power needed to transmit to them. In fact, it is because they are in LEO that there have to be so many of them, instead of just three.