Trying to get a handle on how mining the moon might effects its orbit. Gravitational effect is based on the mass of objects. If we reduce the mass of the moon and transfer that mass to earth, will the moon's orbit be affected?
Don't know, but I doubt there is actually a lot of material up there that are really worth mining and transporting back to Earth.
If this is true (Don't know, not bothering fact checking
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The Apollo program kept the American public captivated. It gave us some great film and photos, and some timeless soundbites. It also cost $28 billion. In today's dollars, that's roughly equal to $288 billion.
And they couldn't really transport back anything worth nearly that amount, so not only would you need a much larger craft or be able to create them on the moon, to then shoot them back to Earth. Either way, the cost of getting there would probably increase a whole lot to be honest. Also reentering into Earth atmosphere with a craft carrying a huge load of material, how are you going to break it?
Given that..:
The entire shuttle vehicle, fully loaded, weighed about 2 million kg (4.4 million pounds) and required a combined thrust of about 35 million newtons (7.8 million pounds-force) to reach orbital altitude.
Imagine the amount of fuel needed to break such thing, you would need a parachute the size of the moon
Without to much calculations, the moon should be made of diamonds, if such thing should even come close to making a profit as I see it.
More realistic mining the Asteroid belt could be a much better option, I think a moon base is probably what they are after, not mining it.