Abstract
The extension of the adiabatic invariant theory for one-degree of freedom Hamiltonian systems with varying parameters proposes a way of evaluating the probability of capture from one domain of the phase space into another. We derive here analytic expressions for these probabilities for a typical model of resonance of orderN. We show that the probabilities depend only upon two parameters and not four as expected a priori.
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Engels, J.R., Henrard, J. Probability of capture for the second fundamental model of resonance. Celestial Mech Dyn Astr 58, 215–236 (1994). https://doi.org/10.1007/BF00691975
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DOI: https://doi.org/10.1007/BF00691975