Continuity mistake: As Hal Holbrook's character is speaking with a mission technician, Holbrook's hands (holding a pen) keep moving between shots: one shot the hands are splayed out on his desk, the next shot his hands are cradling a pen, and then back to the hands splayed.
Continuity mistake: In the scene at the remote gas station, after Brubaker has entered the office, he goes through the cash register which is located at the end of the counter [viewer's right]. A couple of shots later, after breaking into the Coke machine, and while he is at the pay phone, the cash register is nearly a foot to the viewer's left on the counter. Also the coin box from the Coke machine is to the right of the cash register on the counter. In the previous shot when he turns from the Coke machine to go to the pay phone, you see the end of the cash register without the coin box in the way.
Continuity mistake: Astronauts are escaping in desert. The one who survives cuts off piece of material from bottom of his left pant leg. He ties material around his head like a headband. Later he is standing and it looks like left pant leg is uncut, and he's wearing the headband.
Suggested correction: If you look, you can see he pulled his pant leg up (you can see the zipper). What he cut was his undergarment, not his pants. You can even see where his undergarment is torn from the tearing.
Continuity mistake: Brubaker has a beard in the cave, but not at the gas station.
Suggested correction: He doesn't have a beard in the cave, he has dirt and dust on his face.