Probability of capture for the second fundamental model of resonance

Details Probability of capture for the second fundamental model of resonance Probability of capture for the second fundamental model of resonance

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..58..215e&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, vol. 58, no. 3, p. 215-236

Mathematics

Probability

7

Adiabatic Conditions, Hamiltonian Functions, Orbital Resonances (Celestial Mechanics), Probability Theory, Satellite Orbits, Astronomical Models, Trajectory Analysis

Scientific paper

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 order N. We show that the probabilities depend only upon two parameters and not four as expected a priori.

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