Instabilities in first-order resonances

Details Instabilities in first-order resonances Instabilities in first-order resonances

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991baicz..42..190s&link_type=abstract

Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 42, no. 3, June 1991, p. 190-192.

Statistics

Computation

Asteroids, Computational Astrophysics, Laplace Equation, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Canonical Forms, Eccentricity, Secular Variations

Scientific paper

The Laplace-Lagrange secular theory applied by Yokoyama et al. (1988) to the 3/1 and 2/1 asteroidal resonances is used to obtain formulae for the instability region of the first-order resonance p = (p + 1)/p. As this approach yields the instability region even for 3/2 resonance, where Hildas are observed, it is concluded that this calculation in itself cannot explain the origin of Kirkwood gaps and that more refined methods allowing to calculate the maximum eccentricity have to be applied.

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