Secular perturbations of asteroids in secular resonance |
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Authors: | Hiroshi Nakai Hiroshi Kinoshita |
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Affiliation: | (1) Tokyo Astronomical Observatory, Mitaka, 181 Tokyo, Japan |
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Abstract: | 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 1×106 yr. In this paper we treat this secular resonance by a method of semianalytical 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 asteroid's orbits. |
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