Goofs

Different views of the booster show different shaped payloads on top.

When Perry and Paul are greeted at the plane by the security captain, Paul lights a cigarette. Most of the time on flight lines, no smoking is allowed due to airplanes being fueled.

"Most of the time" does not constitute a Goof; this might have been one of the "not most of the time".

Major Reynolds is a field grade officer. The brim of his hat should have "scrambled eggs" like the colonel's.

It is mentioned that the gimbal bolt was partially "sawed through with a hacksaw" and snapped due to stress and pressure. Such a bolt would have to be hardened metal and could not be cut with a hacksaw.

In the first half, Major Reynolds is wearing two photo ID badges (clipped to the left pocket of his uniform) that appear identical. Displaying two badges seems totally implausible, and two identical badges is just ludicrous. No one else has two badges.

The ID badges are NOT identical. One has a black bar on it that the other does not. It's possible that one badge allows him access to the base and certain areas, and the other is a badge that allows him into more restricted sites. Also, one clearly has a photograph, but the other one may not.

During the court-martial, several characters refer to the time of day without using proper military vocabulary (e.g., oh-three hundred hours for three a.m.).

When Perry and Paul are greeted at the plane by the security captain, two enlisted personnel walk past the captain and don't salute.

Perry tells Maj. Reynolds that he'll be eligible for retirement from the Air Force in "four or five years". This episode dates from 1961, and it came out earlier in the conversation that Reynolds was in the Air Force at least as early as 1944, so Reynolds would be eligible in three years at most--remarkably bad arithmetic for the astute Perry Mason.