Scattering by resonances

Astronomy and Astrophysics – Astronomy

Scientific paper

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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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