Hamiltonian mechanics

Formulation of classical mechanics using momenta

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We include updates on Maupertuis's principle, Phase space, Poisson bracket, Hamilton–Jacobi equation, Symplectic manifold, Integrable system, Energy-based model, Canonical transformation, List of common coordinate transformations, Canonical coordinates, Tautological one-form, Symplectic integrator, Kolmogorov–Arnold–Moser theorem, Jacobi coordinates, Hitchin system, Phase-space formulation ... and more.