Symbolic dynamics in a binary asteroid system

Sara Di ruzza; Jerome Daquin; Gabriella Pinzari

Symbolic dynamics in a binary asteroid system

Sara Di ruzza, Jerome Daquin, Gabriella Pinzari

Namur Institute for Complex Systems

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Abstract

We highlight the existence of a topological horseshoe arising from an a–priori stable model of the binary asteroid dynamics. The inspection is numerical and uses correctly aligned windows, as described in a recent paper by A. Gierzkiewicz and P. Zgliczyński, combined with a recent analysis of an associated secular problem.

Original language	English
Article number	105414
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	91
Early online date	20 Jun 2020
Publication status	Published - Dec 2020

Keywords

Binary asteroid system
Horseshoe and symbolic dynamics
Three–body problem

Cite this

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title = "Symbolic dynamics in a binary asteroid system",

abstract = "We highlight the existence of a topological horseshoe arising from an a–priori stable model of the binary asteroid dynamics. The inspection is numerical and uses correctly aligned windows, as described in a recent paper by A. Gierzkiewicz and P. Zgliczy{\'n}ski, combined with a recent analysis of an associated secular problem.",

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UR - https://www.sciencedirect.com/science/article/pii/S1007570420302458

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JO - Communications in Nonlinear Science and Numerical Simulation

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Symbolic dynamics in a binary asteroid system

Abstract

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