Journal
PHYSICAL REVIEW E
Volume 81, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.81.066216
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Funding
- Russian Foundation for Basic Research [09-02-00267, 10-02-00383]
- Russian Academy of Sciences Fundamental Problems in Nonlinear Dynamics.
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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 Levy 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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