Large orbital eccentricities and close encounters at the 2:1 resonance of a dynamical system modelling asteroidal motion

Astronomy and Astrophysics – Astrophysics

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Celestial Mechanics, Stellar Dynamics, Minor Planets

Scientific paper

In a recent work (Varvoglis 1991) we proposed the use of a model dynamical system as a fast and effective method to study the motion of asteroids in the main asteroidal belt. This dynamical system is, essentially, a modified planar elliptical restricted three-body problem, in which the variation of Jupiter's eccentricity, caused by the perturbation of Saturn, is taken explicitly into account. Here we show that, near the 2:1 resonance, the (osculating) eccentricity, e, of the trajectories of this dynamical system may attain high values (e ≥ 0.6) and that a fictitious asteroid, following such a "high-e" trajectory, may undergo a close encounter with Jupiter and be subsequently removed from the 2:1 resonance region.

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