Could we get to the moon using only classical mechanics?

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mjordan2nd
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I'm wondering if it's possible to send a man to the moon using only classical mechanics. If not, where would the classical equations fail?
 
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Of course. That's how we got there in the first place. No one uses General Relativity for interplanetary travel. It's too complicated and the difference between GR's predictions and classical physics' predictions are extremely small at this scale. Small enough to not have to worry about GR at all.
 
It's perfectly possible to fly to the moon using only classical mechanics.
In fact I believe it has already been done several times.