Secular resonance of asteroids and the second fundamental model

Details Secular resonance of asteroids and the second fundamental model Secular resonance of asteroids and the second fundamental model

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989baicz..40...92s&link_type=abstract

Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 40, no. 2, March 1989, p. 92-104.

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Asteroids, Astronomical Models, Computational Astrophysics, Orbital Resonances (Celestial Mechanics), Secular Variations, Eccentricity, Hamiltonian Functions, Orbital Mechanics, Perturbation Theory, Planetary Orbits, Asteroids, Resonance, Theoretical Studies, Eccentricity, Parameters, Calculations, Perturbations, Trajectories, Mars Crossers, Astronomy

Scientific paper

A nonlinear theory of the secular resonance of asteroids has been developed, in which the problem is reduced to the second fundamental model of resonance. The position of the secular resonance surface for the nu6 resonance obtained from this theory is in good agreement with the results of Williams and Faulkner (1981). It is found that when the semimajor axis of the asteroid is in the range between 2 and 3.1 AU, the eccentricity increase due to secular resonance is at least that necessary for the Mars crosser.

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