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Hierarchy in chaotic scattering in Hill's problem

1997/10/20 by Zoltán Kovács, Zoltan Kovacs, Kovacs, Zoltan
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum chaos and dynamical systems #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9710016

13 pages, LaTeX (REVTeX), 6 PostScript figures in 22 files

arxiv created 1997/10/20 · openalex publication_date 1997/10/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Hierarchic properties of chaotic scattering in a model of satellite encounters, studied first by Petit and Henon, are examined by decomposing the dwell time function and comparing scattering trajectories. The analysis reveals an (approximate) ternary organization in the chaotic set of bounded orbits and the presence of a stable island. The results can open the way for a calculation of global quantities characterizing the scattering process by using tools of the thermodynamic formalism.

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