Originally Posted by e2m2a
I have done the calculations and to my surprise, there is no over-all energy gain of the system. This surprised me because of the enormous mass of the earth, I assumed its change in ke would be negligible. I admit I was wrong. There is no paradox.
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Cool beans.
The main thing to learn from this, is how your assumptions affect the outcome. It's always better to check and see than to try to guess. Also it's good to try and quantify the error arisen from assumptions.