Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981mmsai..52..515s&link_type=abstract
(NATO, Advanced Study Institute on Comparative Study of the Planets, Vulcano, Italy, Sept. 14-25, 1981.) Società Astronomica Ita
Astronomy and Astrophysics
Astronomy
Asteroids, Celestial Mechanics, Orbital Elements, Orbital Mechanics, Perturbation Theory, Three Body Problem, Asteroid Belts, Chiron, Differential Equations, Jupiter (Planet)
Scientific paper
The fundamental characteristics of asteroidal dynamics are discussed. The dynamical behavior of nonresonant main-belt asteroids is shown to be described by classical perturbation theories in a three-body problem, with the evolution of semimajor axis, inclination and orbital eccentricity expressed as first-order differential equations. Resonant main-belt asteroids, which are close to commensurabilities in orbital periods with respect to the orbit of Jupiter, are analyzed by numerical and semianalytical methods, which reveal that the variations in orbital elements are an order of magnitude greater than those of nonresonant asteroids. The planet-crossing asteroids are shown to have dynamical lifetimes significantly shorter than the age of the solar system, and to be provided with mechanisms whereby they may escape close planetary encounters. Frequency distributions of asteroidal perihelion distances, aphelion distances, semimajor axis and inclinations are also illustrated.
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