Revealing mistake: Early in the film Gene Hackman tests a rocket-powered backpack outside the space station. He slowly spins sideways through a complete circle, but instead of each side of his body being lit up in turn as it's pointed towards the sun, the light stays constant throughout the maneuver, showing that the makers just took a photo of Hackman and rotated it.
Revealing mistake: When the Russian spacecraft approaches the Ironman One to help Astronaut Stone, it passes in front of the XRV-1, but its antennas are hidden by the XRV-1. (01:59:20)
Factual error: In nearly every scene depicting someone or something in weightlessness (zero gravity), objects tend to start moving randomly without any initial propulsive force or, when already in motion, to been seen to randomly change direction of movement with no outside force acting upon them. Both of these are impossible in a true zero-G environment.