- #1

- 98

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_{1}q

_{2}, as can be easily checked. In fact, at this point I am aware of four "functionally independent" constants of motion.

Since this Hamiltonian is a function of four variables, is there some theorem that says there are at most four functionally independent constants of motion? If not, then how would I know when I have found enough to form a basis?

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Note: The authors define functions f and g to be functionally independent if both functions can be written as functions of a third function. It would seem that this is a relatively obscure topic.