Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..65....1n&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 65, Issue 1-2, pp. 1-20
Astronomy and Astrophysics
Astronomy
12
Resonance, Adiabatic Invariant, Capture Into Resonance, Scattering
Scientific paper
Small perturbations imposed on an integrable system produce an evolution of the motion. In the course of this evolution the system can pass through a state of resonance. Quasi-random phenomena of capture into the resonance and scattering on the resonance are discussed in this paper for the case of a two-frequency system. Major topics are calculation of probability of capture, description of the motion of the captured phase points, calculation of a probabilistic distribution of the scattering amplitude.
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