The motions of asteroids in the secular resonance ν6: an analytical model and numerical calculations.

Physics

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Minor Planets: Resonances, Minor Planets: Orbital Elements

Scientific paper

The motions of asteroids in the secular resonance ν6 are investigated by a simple analytical model. By using this model, it is found that eccentricities of asteroids may become very large (e ≡ 0.8) when asteroids are in or near this resonance. These large increases in eccentricity are also confirmed by the numerical integrations. The strongly depopulated region in the asteroidal belt, which corresponds to the position of the secular resonance ν6, is explained well by this analytical model.

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