| Hamiltonian intermittency and Lévy flights in the three-body problem. | |
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MedLine Citation:
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PMID: 20866510 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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We consider statistics of the disruption and Lyapunov times in an hierarchical restricted three-body problem. We show that at the edge of disruption the orbital periods and the size of the orbit of the escaping body exhibit Lévy flights. Due to them, the time decay of the survival probability is heavy-tailed with the power-law index equal to -2/3, while the relation between the Lyapunov and disruption times is quasilinear. Applicability of these results in an "hierarchical resonant scattering" setting for a three-body interaction is discussed. |
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Authors:
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Ivan I Shevchenko |
Publication Detail:
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Type: Journal Article Date: 2010-06-23 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 81 ISSN: 1550-2376 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2010 Jun |
Date Detail:
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Created Date: 2010-09-27 Completed Date: 2011-01-11 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 066216 Citation Subset: - |
Affiliation:
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Pulkovo Observatory of the Russian Academy of Sciences, St. Petersburg 196140, Russia. iis@gao.spb.ru |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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