Ice Station ZebraGoofs
As the satellite begins re-entry, the time on the Russian console reads 04:29:55 (and clicks over to 04:29:56 as the scene continues), but the Russian controller speaks a different set of numbers: "Null chetyre dva devyat' chetyre dva sem," or "zero four two nine four two seven." He gives three numbers (4-2-7) for the final pair on the screen, neither of which is the Russian for either five (pyat') or six (shest').
Boom mic visible
Not only was file footage of a US F4 Phantom used instead of a USSR MIG-21, the clip used was obviously of an aircraft on short final as the landing gear and flaps were in the landing position. Even if the type of air snatch represented could be done with an F4 or a MIG there would be a deployed hook visible, not lowered landing gear.
Errors in geography
When Rock and Patrick are talking about what happened to the satellite, Patrick says the rockets misdirected the satellite into a polar orbit and that made it impossible to cause it to land in Siberia. That's nonsense. The earth will rotate under the the orbit of the Satellite and probably several times a day considering the east - west size of Siberia.
Just after Cdr Ferraday orders Agent Jones to surrender the film canister to the Soviets, we hear the young USMC Lt cock the hammer on his M-16. Semi-automatic shoulder weapons of the period did not have an exposed manually armed hammer. What was probably heard was the weapons selector lever being moved from safe to semi or most likely semi to auto because he tells the Russian officer he will pull it and hold it. The M16A1 selected lever quite audible click to it.
From the minute the oncoming Soviet fighters are detected on radar they are said to be approaching at 620 mph. That speed is called out several times. And yet as they pass over head a sonic boom is heard. The speed of sound is dependent on temperature, and the temperature would have to be below -82ºC (the record for the Arctic is -68C) for the speed of sound to be that low. As low as the jets were flying; they would devour fuel. Low level super sonic flight uses much larger amounts of fuel than above 10,000 feet.
When the submarine dives for the first time, the last man to clear the bridge descends the ladder wearing brown shoes. By naval regulation, surface navy must wear black shoes; brown shoes are restricted to aviation personnel. This privilege is jealously guarded by the Brown Shoe Navy (Aviation), so much so that when Admiral Zumwalt's decision to remove brown shoes from the navy was implemented in 1976, it took nine years of infighting for the aviators to get them back.