Studies of orbital resonance. I

Details Studies of orbital resonance. I Studies of orbital resonance. I

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985aj.....90..877l&link_type=abstract

Astronomical Journal (ISSN 0004-6256), vol. 90, May 1985, p. 877-886. Research supported by the Natural Sciences and Engineering

Statistics

13

Celestial Bodies, Disturbing Functions, Dynamic Stability, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Resonance, Three Body Problem, Asteroids, Discriminant Analysis (Statistics), Gravitational Constant, Hamiltonian Functions, Jupiter (Planet), Libration, Power Series

Scientific paper

A discriminant designed to be suitable for assessing resonant stability for certain three-body configurations is described. Some aspects of the method of ideal resonance are also reviewed, emphasizing those terms in the perturbation which affect the resonance. The utility of the discriminant is illustrated by applying it to a sample of 71 asteroid orbits.

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