When the crew are attempting to rescue Angela from her spacewalk, the flight director says he's going to order the shuttle Discovery to intercept her. However, the displays at NASA all indicate that the shuttle is the Odyssey.
In the shot of the Shuttle's underbelly when it's spinning out of control, immediately after the module Matt is trapped in is ripped away from it, the wings are smaller and the underbelly is shaped differently (not as tapered) as compared to the other, more accurate shots.