Coupled librations in the motions of asteroids near the 2:1 resonance

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asteroids, Librational Motion, Orbital Elements, Astronomical Models, Equations Of Motion, Numerical Integration, Orbital Mechanics

Scientific paper

Eight asteroids near the 2:1 resonance with Jupiter librate alternately
in the secular and the commensurable modes over a time scale of
thousands of years. An analytical theory is presented that explains this
remarkable behavior as a coupling between the two modes of libration.

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