1980•European Journal of PhysicsOpen access

Hamilton's principle and canonical equations of motion

Tai L. Chow

Abstract

One of the many derivations of the canonical equations of motion is by Hamilton's principle: the canonical equations of motion result by exploring the independent variations of the generalised coordinates delta q and the corresponding generalised moments delta q. In this article the author underlines an objection to this procedure and point out an alternative way forward.

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Key concepts: Physics, Canonical coordinates, Action-angle coordinates, Equations of motion, Motion (physics), Classical mechanics, Canonical form, Mathematical physics