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> Obviously the Apollo computer was far more powerful because it could transform those calculations into landing on the moon and returning

I'm afraid you aren't looking at how the system went together. The landing process was manual. Remember this was 1969, when there were still elevator operators (though they were by then redundant), steam trains in regular service, etc.

You can read the cockpit transcripts of the landing and compare those to the cockpit transcripts of a modern plane. Armstrong was making burn decisions HIMSELF based on what he saw out the window and what Aldrin was choosing HIMSELF to tell him mattered (Armstrong couldn't see the instruments; Aldrin couldn't see out the window. Astonishing teamwork!)

You can also read the source code for that computer program. Essentially it was a slide rule doing coordinate translation and some instrumentation monitoring. But the fact that they landed with the computer non functional tells you its role in the process.

This is hard to appreciate now when we have computer modulated machinery (stability dynamics in your quadcopter, machine control of your brakes etc) and even materials (both in design, manufacture, and even dynamic control of some beams etc). But back then they couldn't do that kind of thing.




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