The motion of asteroids near the commensurabilities 8/13, 7/12, and 4/7

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Asteroids, Jupiter (Planet), Orbit Perturbation, Planetary Orbits, Astrophysics, Diurnal Variations, Librational Motion, Orbital Elements, Solar System

Scientific paper

The motion of the minor planets (721) Tabora, (522) Helga, and (1144) Oda near 4/7, 7/12, and 8/13 commensurabilities with Jupiter is investigated over a 400 year time interval (1660-2059) by a previously reported (Chebotarev et al., 1970) numerical method. Perturbations due to eight major planets are taken into account. The orbital elements are found to undergo only slight perturbations over 400 years. The mean diurnal motion of the asteroids Helga and Oda change such that they periodically transit the position of point commensurability. Tabora always remains to one side of the 4/7 commensurability.

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