They had the ability to over-crank, as well as to do Optical Printing (both were available).
Can no one think of any feasible scenario where the film guys shoot at higher speed, then slow it down as they do some optical printing?
And is it inconceivable to make a Reel case to hold a longer film strip?
Are you aware of the Optical Printing Technique? Or that, at that time, we had the tech for capturing up to 18,000 FPS, and so 144 FPS should be a cinch.
What is the longest continuous footage you know of without a least a blip of dead space, or a hiccup in transmission? (either would serve as an easy place to swap reels and continue)
You reference the longest continuous footage that you find the most impossible for them to film - and I'll watch it to see if I can find any places where a reel swap could occur (still camera, no action).
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Please try to refrain from the indirect personal attacks - in that you are implying I must be stupid for not believing as you do about Apollo.