A simple derivation of capture probabilities for the J + 1 : J and J + 2 : J orbit-orbit resonance problems

Details A simple derivation of capture probabilities for the J + 1 : J and J + 2 : J orbit-orbit resonance problems A simple derivation of capture probabilities for the J + 1 : J and J + 2 : J orbit-orbit resonance problems

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..127b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 32, Feb. 1984, p. 127-136.

Mathematics

Probability

60

Adiabatic Conditions, Capture Effect, Hamiltonian Functions, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Probability Theory, Solar System, Cartesian Coordinates, Equations Of Motion, Resonance, Topology, Trajectory Analysis

Scientific paper

Henrad's (1982) method, which is based on an extension of the theory of
adiabatic invariants, is presently applied to a simplified analytic
derivation of the capture probabilities for the j + 1 : j and j + 2 : j
orbital resonances. The results originally obtained by Yoder (1979) are
thereby recovered.

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