Some peculiarities in the asteroidal belt

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Asteroid Belts, Comets, Jupiter (Planet), Solar Orbits, Fine Structure, Histograms, Quantum Mechanics, Quantum Numbers, Resonance

Scientific paper

The fine structure of the asteroid belt was analyzed, using the catalog of Batrakov (1982) for data on asteroids and the catalog of Marsden (1982) for data on the short period comets. A discrete group of asteroids was revealed near resonance 4/9 with Jupiter. The orbital parameters of this group, as well as of other groups associated with either of the Hirayama families 2, 6, 7, 8, and 9, can be best represented by discrete radial quantum numbers. It is proposed, on the basis of distribution of energies and orbital parameters around certain configuration, sin phi equal to sin i (where i is the inclination of the orbital plane and the angle phi is given by the eccentricity of the orbit), that the old and relaxed objects of the main body of the asteroid belt present a configuration of sin phi equal to or less than sin i, whereas the new comets have a configuration of sin phi equal to or greater than sin i.

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