equation 22.1 eq:ham-hamiltonian

open in the book · parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:70

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equation 22.1: eq:ham-hamiltonian22.1definition 32.57: The Hénon–Heiles Hamiltonian32.57definition 32.46: The circular restricted three-body problem32.46proposition 22.11: Hamiltonian and total energy22.11proposition 23.7: The principal function is the action23.7remark 22.5: Units22.5equation 22.7: eq:ham-dH22.7theorem 7.38: Taylor's theorem with Lagrange remainder7.38equation 27.51: eq:cfs-kepler-third27.51proposition 21.38: Energy in generalized coordinates21.38remark 22.12: The hypothesis, stated sharply22.12remark 22.13: Euler's theorem on homogeneous functions is owed22.13proof : ch:05-hamiltonian-mechanics@proof-5proofdefinition 16.96: Action; Hamilton's principle16.96theorem 23.6: Jacobi23.6remark 23.8: The action as a function, not a functional23.8proof : ch:06-hamilton-jacobi@proof-2proofequation 21.43: eq:lag-generalized-momentum21.43remark 22.36: The whole dynamics in one operation22.36remark 22.42: What the matrix form is for22.42remark 24.11: The SI dimension of every object in this chapter24.11equation 22.6: eq:ham-dL22.6

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typedirectionnode provenancewhere
depends_on The Hénon–Heiles Hamiltonian declared parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1505
depends_on The circular restricted three-body problem declared parts/03-classical-mechanics/15-nonlinear-dynamics-chaos.tex:1179
depends_on Hamiltonian and total energy declared parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:310
depends_on The principal function is the action declared parts/03-classical-mechanics/06-hamilton-jacobi.tex:262
depends_on Units declared parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:142
step_from eq:ham-dH declared — the two terms in $\dd\dot{q}^{a}$ cancel parts/03-classical-mechanics/05-hamiltonian-mechanics.tex:188