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Orbital Mechanics

It's well known the Earth and other planets revolve around the Sun. But why do they do that? How can orbits be described in mathematical terms?

I find this an interesting question, and as far as I can tell, it's all down to conservation laws. This is to say that energy cannot be created or destroyed, but it can be transformed.

As an aside I'd note that some people use to principle to argue for the immortality of the human soul, which is a bit of a reach if you ask me...

Anyway,