equation 21.39 eq:lag-el-conservative

Rests on

No declared or derived dependency edges point away from this node yet.

Supports

• depends_on theorem 22.6 Hamilton's equations ¶
  • depends_on definition 22.15 Canonical transformation ¶
    • depends_on proposition 22.17 Transformation conditions ¶
      • depends_on remark 22.21 The count ¶
    • depends_on proposition 22.18 The mixed generating functions ¶
      • depends_on definition 23.2 Hamilton's principal function and the Hamilton–Jacobi equation ¶
        • depends_on remark 23.12 Two functions, two roles ¶
      • depends_on proposition A.556 The Jacobian of the actions is the lattice matrix ¶
        • depends_on example A.557 The check that fixes the convention ¶
      • depends_on remark 22.19 Which form exists ¶
      • depends_on theorem 23.30 Motion in action–angle variables ¶
        • depends_on example 23.24 Harmonic oscillator ¶
        • depends_on theorem 23.34 Adiabatic invariance of the action ¶
        • depends_on theorem 23.31 Liouville–Arnold ¶
    • depends_on remark 22.16 Why the class is larger than the point transformations ¶
  • depends_on remark 22.8 Non-conservative forces ¶
  • depends_on remark 22.7 Which half is kinematics and which is dynamics ¶
  • depends_on remark 23.4 What the equation costs and what it buys ¶
  • depends_on theorem 23.30 Motion in action–angle variables ¶ ↺
  • depends_on theorem 23.6 Jacobi ¶
    • depends_on example 23.25 Central force in plane polar coordinates ¶
    • depends_on example 23.22 Free particle ¶
      • depends_on remark 23.42 Phase speed and particle speed ¶
    • depends_on example 23.23 Uniform gravity, and the parabola ¶
    • depends_on proposition 23.7 The principal function is the action ¶
      • depends_on remark 23.8 The action as a function, not a functional ¶
• depends_on theorem 21.36 Conservation of the conjugate momentum ¶
  • depends_on proposition 23.14 Cyclic coordinates ¶
    • depends_on example 23.25 Central force in plane polar coordinates ¶ ↺
    • depends_on example 23.22 Free particle ¶ ↺
    • depends_on example 23.27 Charged particle in a uniform magnetic field ¶
    • depends_on example 23.23 Uniform gravity, and the parabola ¶ ↺
  • depends_on proposition 29.36 Three first integrals ¶
    • depends_on phenomenon 29.38 Nutation of a released top ¶
    • depends_on proposition 29.43 The three integrable heavy tops ¶
      • depends_on remark 29.45 What integrability buys, and where it stops ¶
      • depends_on remark 29.44 The Kovalevskaya integral ¶
    • depends_on proposition 29.40 The sleeping top ¶
    • depends_on theorem 29.37 Reduction to one degree of freedom ¶
      • depends_on phenomenon 29.38 Nutation of a released top ¶ ↺
      • depends_on proposition 29.40 The sleeping top ¶ ↺
      • depends_on remark 29.42 The closed form, and the mathematics it needs ¶