High-order resonances in the restricted three-body problem

Details High-order resonances in the restricted three-body problem High-order resonances in the restricted three-body problem

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32..109l&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 32, Feb. 1984, p. 109-126.

Mathematics

Probability

56

Capture Effect, Celestial Mechanics, Hamiltonian Functions, Orbit Perturbation, Solar System, Three Body Problem, Poincare Problem, Probability Theory, Resonance

Scientific paper

Analyses are conducted for very simple models of the restricted three-body problem's j + i/j (i = 2, 3, 4) resonances, by averaging, truncation and scaling. Phase space, equilibria, critical areas, and the probability of capture are analytically calculated for each case. The analyses are restricted to those aspects which are necessary for discussion of either capture into, or depletion of, resonance, through the adiabatic invariant theory. The 'resonance zones' defined are not be be confused with the usual libration zones.

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