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).
Factual error: Mike attaches a shotgun shell to a hammer to blow a hole in a door. This would be quite likely to kill him - in a shotgun blast, the explosive force, and hence the buckshot, is channelled along the gun barrel. Without a barrel to channel the force, the blast would send buckshot in all directions. (01:00:40)