Computer Science – Numerical Analysis
Scientific paper
Dec 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..343m&link_type=abstract
(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab
Computer Science
Numerical Analysis
23
Asteroid Belts, Celestial Mechanics, Orbital Mechanics, Resonance, Solar Orbits, Circular Orbits, Eccentric Orbits, Elliptical Orbits, Jupiter (Planet), Libration, Three Body Problem
Scientific paper
A numerical analysis of the ordered and chaotic regions of motion in the outer asteroid belt is presented. The effect of the eccentricity of the orbit of Jupiter on the chaotic regions of the outer belt is studied, based on the circular model of asteroid orbits. It is shown that Jupiter's eccentric orbit has a strongly depleting effect on the chaotic regions of the circular asteroid orbit model. The planar elliptic restricted three-body model was used to study the motion of asteroids in the outer belt which have been described in the literature as resonant. A total of three cases of libration were found; and only 11 cases of e, omega coupling were consistent with secular resonance theory. Estimates of the distribution of outer belt asteroids for the last 30,000 years showed that only the resonant and dynamically protected asteroids could have lifetimes of the same order as the age of the Solar System.
Milani Andrea
Nobili Anna M.
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