Adiabatic invariance of an orbital action preserves action values during slow regular changes, but frequencies can vary. Closure requires rational frequency ratios, which need not persist. A slowly added harmonic component in a Kepler orbit potential produces generic apsidal precession.

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  1. Adiabatic invariance of an orbital action
  2. Adiabatic invariance of the action
  3. Action variable
  4. Action-angle variables
  5. Integrable Hamiltonian system
  6. Hamiltonian mechanics
  7. Classical mechanics
  8. Branch of physics
  9. Physics
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