Intermittent Trajectories in the 3/1 Jovian Resonance |
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| Authors: | II Shevchenko H Scholl |
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| Institution: | (1) Institute of Theoretical Astronomy, Russian Academy of Sciences, Nab. Kutuzova10, St. Petersburg, 191187, Russia;(2) Department G.D. Cassini, Observatoire de la Côte d Azur, BP4229, 06304 Nice Cedex 4, France |
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| Abstract: | The statistical behaviour of intermittent trajectories at the 3/1resonance is investigated. The elliptic planar restricted three-body problemis used as a model. Distribution functions for time intervals D betweeneccentricity bursts are obtained and theoretically interpreted. For smallervalues of D the distribution is found to be of Poisson type, while in itstail it is described by a power law D . This change in thedistribution occurs for values of D in the range105 106Jupiter periods. The power-lawindexfor the integral distributions lies in the range (-2,-1) and istrajectory dependent. The algebraic decay in the tails of the distributionsis explained by the phenomenon of sticking of orbits to the chaos borderduring long intervals between bursts. |
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| Keywords: | asteroids resonances mapping |
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