How Can We Accurately Predict the Moon's Position Despite Quantum Uncertainty?

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Holocene
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If we cannot know with absolute certainty the speed or position of a sub-atomic particle, how is it that we can calculate with great certainty the speed and position of say the moon, which is of course ultimately comprised of these same sub-atomic particles?

Is classical mechanics still considered "correct" when dealing with the macroscopic, but must be abandoned at the atomic level?

If so, is there not some sort of paradox?
 
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You describe one of the main problems in current science, creating a formula to describe both the the microscopic world and macro world. HUP only applies to things like electrons which are micro. Clearly, there is no uncertainty in predicting the moon's orbit to a high degree, but still not a perfect degree of course.