Continuity mistake: In the scene where Joe Gideon is helping his daughter with dance exercises and realises that it is time to put Michelle in a cab, he carries her out of the rehearsal studio with her facing forward and her legs wrapped around his back. They turn a corner to go outside and she magically is facing him arms around his neck and legs wrapped the other way around his waist. Also Michelle suddenly grows a yellow rain jacket. There is no time lapse in the dialog which would explain this turn.
Continuity mistake: In the beginning, when Mike and Jody raise the hood on the car, Jody's hand holding on to the hood alternates between his right and left hand over three shots. (00:13:10)
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).
Other mistake: In the opening credits the following is posted "Screenplay based on Rider Haggard's Allan Quartermain" The author's name is usually given as H. Rider Haggard (H. For Henry), and Haggard's hero was named Quatermain (1 "r" not 2). This misspelling of Quatermain appears in many movies.
Continuity mistake: Before going to bed, Scrooge takes off his slippers and puts them by the side of his bed. But when he is disturbed by the singers, the slippers and the pillows he is resting his head on have disappeared.