Continuity mistake: In the scene in the bar where Aurora discovers she was woken up, when she walks out and says to Jim "stay away from me" - she points at him initially then spreads open her fingers, but when scene cuts back to Jim a second later you see a single finger pointing.
Continuity mistake: Near the end when she puts him in the Auto doc his legs are crossed, then straight in the next shot. (01:39:29)
Continuity mistake: When Aurora is chatting with Arthur in the bar when Jim appears thinking it's Tuesday, when she turns to him she takes her right hand away from her glass of drink, but a second later her hand is back touching her glass, she couldn't have put her hand back there so quickly.
Continuity mistake: Immediately after Jim sends the emergency message back to Earth, we see a long, overhead shot of Jim slowly walking through the Grand Concourse. To Jim's right the doors to Arthur's bar are visible (towards the top of the screen as viewed from the audience). All the doors are closed. The camera then cuts to a close up of Jim as he continues along the Grand Concourse and to Jim's right we can see into the bar and all the doors are now wide open (not in the process of opening, but instantaneously and fully open).
Answer: With difficulty is the answer! Question is why are command ring and engine room spinning in different directions, to make this an issue?