Final approach --- landing on the moon, used no computers ---- completely pilot controlled.
They had a mechanical simulator --- with modified earth gravity (Flying Bedstead) for practice.
They got about 30 practice runs (Armstrong crashed one).
Then ---- then do a perfect landing the first time on the moon --- with different gravity.
OK ---- so simulate this, give only 30 practice tries, change the gravity settings and do it perfect.
I have seen low orbit satellites in the 1960s --- naked eye.
I believe these were real.
What was it's altitude, speed, size, and could you see any features? Is it possible you saw a light in the sky that can be explained otherwise like satellite balloons, high altitude planes, drones, or project bluebeam? How can you prove they didn't simply have a plane fly across the sky at a constant speed and direction with a constant light?
You could see it cross the terminator and go dark.
It was high. The sun had set (yet still in the sunlight).
Going way too fast for your suggestions.
How can you guess the speed if you don't even know the altitude of the object? These are all observations from your perspective. There are all sorts of planes that go multiple times the speed of sound even in those days. And even a commercial airliner crosses the sky we can observe rather quickly. Basically you are saying, I saw a fast moving dot in the sky at night, no idea was speed/size/altitude it had, but it was DEFINITELY a satellite in orbit. That's not a very scientific observation.
Yes there were --- and you could fucking hear the sonic boom.
You could also estimate the speed by the angle the plane was when you heard it.
Mach Angle