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Bearing in mind the moon exerts a significant influence on our planet (driving the seas tides and influencing the speed of the Earth's rotation), if humanity somehow managed to do this i.e. set up industry on the moon, how long would it be before what we did had an environmental impact on the earth?

That is to say, what would be a safe level of the moon's mass being lost to mining before we had to stop and at what point would we realise the moon's influence has become unpredictable?

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