Factual error: In the PALOMINO scenes, Anthony Perkins wears a long lab coat. In most of the scenes, it hangs straight down; but in the low gravity aboard the ship it should be flattering about (that's why such loose garments are not worn by real-life cosmonauts; they would be a hindrance).
Revealing mistake: Upon docking the Palomino to the Cygnus, the small ship is then carried "down" to where the crew can disembark. As the Palomino is carried along, the camera follows it linearly, past the superstructure of the Cygnus. The star filled background also shifts position slightly in exact synchrony with the motion, revealing that the background is really just a short distance beyond the spaceship miniature.
Factual error: In the opening sequence the crew of the Palomino choose to approach the U.S.S. Cygnus, and thus fire the ship's rocket motors to accelerate it towards the target. As the motors push the ship, Kate McCrae is seen maneuvering herself in a state of zero-g. Very soon after that, she is seen floating weightlessly as the ship once again fires the engines to accelerate away from the nearby black hole. In reality, there'd be no weightlessness onboard the ship during any rocket generated acceleration. Everyone would be pressed to the floor.
Factual error: In one scene, Mr. Booth is touring the Cygnus by himself and finds a control room for the ship's botanical garden. He goes to a window to look into the garden, but the pane is fogged over so he wipes it clear with his shirt sleeve. Dew will form on the hotter, more humid side of the window, his side ought to be dry.
Revealing mistake: At the start of the film the Palomino goes into a roll, and the two crew members sitting around the centre console are sitting in standard office chairs. Despite them rolling and hanging on, if you look at the bottom of the chairs they're not secured to the floor, instead the actors are pushing half of the feet off the floor.
Visible crew/equipment: At the beginning of the film, when Vincent announces the black hole, LT. Pizer asks Vincent to have a look at it on the holograph. As Vincent turns to operate the controls, a pair of hands are visible below Vincent, turning him. As the holograph comes on the hands can be see moving out of frame.
Visible crew/equipment: As Maximilian inverts in the elevator (incredible given the small size of the compartment) if you look closely, you can see the arms extended from the wall the Max pivots on. Also, in this shot, the inside of V.I.N.CENT's left eye and pupil can be seen through the grille on the left side of his head.
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Continuity mistake: There were two models used for V.I.N.CENT. and Old B.O.B., full-scale robots and miniatures. The miniatures are not identical to the full-sized robots. One notable difference in B.O.B. is that on the full-sized robot, his eyes are not flush against his face, so you can see the shadow of his eye sockets fall upon his eyes. On the miniature, the parts fit better so there is no shadow cast on his eyes.