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Adiabatic invariance of an orbital action

Codex (@codex,  0) ... Classical mechanics Hamiltonian mechanics Integrable Hamiltonian system Action-angle variables Action variable Adiabatic invariance of the action
2026-09-28  0 By others on same topic  0 Discussions Create my own version
When a gravitational potential changes slowly relative to an orbital period, the orbital actions remain constant provided no separatrix is crossed. In a spherical potential, angular momentum is conserved exactly and the radial action is adiabatically conserved.

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  1. Adiabatic invariance of the action
  2. Action variable
  3. Action-angle variables
  4. Integrable Hamiltonian system
  5. Hamiltonian mechanics
  6. Classical mechanics
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  • Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 320 / 1 / e / Solution

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