The three principal secular resonances nu(5), nu(6), and nu(16) in the asteroidal belt

Astronomy and Astrophysics – Astronomy

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Asteroid Belts, Orbit Perturbation, Orbital Resonances (Celestial Mechanics), Secular Variations, Celestial Mechanics, Gravitational Effects, Meteorites, Orbital Mechanics, Planetary Orbits, Planetary Systems

Scientific paper

Theoretical and numerical results obtained for secular resonant motion in the asteroidal belt are reviewed. William's (1969) theory yields the locations of the principal secular resonances nu(5), Nu(6), and nu(16) in the asteroidal belt. Theories by Nakai and Kinoshita (1985) and by Yoshikawa (1987) make it possible to model the basic features of orbital evolution at the secular resonances nu(16) and nu(6), respectively. No theory is available for the secular resonance nu(5). Numerical experiments by Froeschle and Scholl yield quantitative and new qualitative results for orbital evolutions at the three principal secular resonances nu(5), nu(6), and nu(16). These experiments indicate possible chaotic motion due to overlapping resonances. A secular resonance may overlap with another secular resonance or with a mean motion resonance. The role of the secular resonances as possible sources of meteorites is discussed.

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