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That is, the system takes a path in configuration space for which the action is stationary, with fixed boundary conditions at the beginning and the end of the path.

Derivation from Newton's laws of motion

Although Hamilton's principle can be viewed as a postulate effectively replacing Newton's laws of motion, it can also be derived from Newton's laws. Starting with d'Alembert's principle:

Where is the index of a mass, is applied force (excluding

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