The Adiabatic Invariant: Its Use in Celestial Mechanics
Many problems in the dynamical evolution of the Solar System can be modelized by some pendulum like Hamiltonian system with one degree of freedom and slowly varying parameters. The adiabatic invariant introduced in the context of quantum mechanics and of physics of nuclear particles is a very effective tool for the study of such problems.
In this paper, we describe the basic ideas of this theory and apply it to the problem of capture into resonance of Titan and Hyperion.
KeywordsPhase Space Solar System Hamiltonian System Hamiltonian Function Canonical Transformation
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