Secular perturbations of asteroids in secular resonance

Details Secular perturbations of asteroids in secular resonance Secular perturbations of asteroids in secular resonance

Aug 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..36..391n&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 36, Aug. 1985, p. 391-407.

Astronomy and Astrophysics

Astronomy

33

Asteroids, Orbit Perturbation, Resonance, Secular Variations, Equations Of Motion, Orbital Elements, Trojan Orbits, Asteroids, Perturbations, Resonance, Precession, Orbits, Inclination, Astronomy, Longitude, Period, Analysis, Comparisons, Techniques, Celestial Mechanics

Scientific paper

When the precessional rate of the orbital plane of an asteroid is nearly equal to that of Jupiter, the orbital inclination of the asteroid changes quite largely due to this near equality of their precessional rates, which is called a secular resonance. In the vicinity of the exact resonance the difference of their longitudes of nodes librates with quite a long period of order of 1×106yr. The authors treat this secular resonance by a method of semi-analytical secular perturbations with use of numerical averaging for both non-resonant and resonant asteroids and show that the results by the semi-analytical treatment agrees qualitatively with those obtained by direct numerical integrations of the asteroid's orbits.

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