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Titlebook: Chaotic Dynamics in Planetary Systems ; Sylvio Ferraz-Mello Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive lic

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发表于 2025-3-21 18:59:51 | 显示全部楼层 |阅读模式
书目名称Chaotic Dynamics in Planetary Systems
编辑Sylvio Ferraz-Mello
视频video
概述Uses accessible lange to present concepts of the chaotic dynamics of conservative mechanical systems.Shows step by step how occurrence of chaotic motions can be identified.Discusses resonances in the
丛书名称Springer Praxis Books
图书封面Titlebook: Chaotic Dynamics in Planetary Systems ;  Sylvio Ferraz-Mello Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive lic
描述.The main theme of the book is the presentation of techniques used to identify chaotic behavior in the evolution of conservative mechanical systems and their application to astronomical systems. It results from graduate courses given by the author over the years both at university and at several international summer schools..Along the book surfaces of section, Lyapunov characteristic exponents, frequency maps, MEGNO, dense grid maps, etc., are presented and discussed in connection with the applications. The initial chapter is devoted to the presentation of the main ideas of the chaotic dynamics of conservative systems in plain language so that they can be accessible to a wide range of professionals and students of physical sciences. The applications are mainly related to the motions in the solar system and extrasolar planetary systems..Another chapter is devoted to the applications to asteroids showing how the asteroidal belt is sculpted by chaos and resonances. The contrasting existence of gaps in the distribution of the asteroids and groups of asteroids in resonances is thoroughly discussed. .The interest in applications to planetary systems is growing since the discovery of syst
出版日期Book 2023
关键词Planetary dynamics book; Chaos in planetary systems; Resonant asteroids; Exoplanetary systems; Lyapunov
版次1
doihttps://doi.org/10.1007/978-3-031-45816-3
isbn_softcover978-3-031-45818-7
isbn_ebook978-3-031-45816-3
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 21:24:40 | 显示全部楼层
Resonant Asteroidal Dynamics,riod is commensurable with the orbital period of Jupiter. Emphasis is given to the formation of the Alinda and Hecuba gaps at the 3:1 and 2:1 resonances and the presence of the Hilda group at the 3:2 resonance. The chapter includes an overview of the techniques of digital filtering used to reduce th
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Refractory, Hard and Intermetallic Materialss), and the orbital resonance amongst natural satellites. The classical examples of the Toda lattice and the Hénon-Heiles system illustrate the close relationship between the existence of chaotic layers and non-integrability.
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13.7 Health, safety and ecology,f the proposed empirical relationships between the Lyapunov time and sudden orbital transitions, the so-called stable chaos, the swing-by mechanisms responsible for significant orbital changes, and the case of resonant asteroids in cometary orbits.
发表于 2025-3-22 17:45:52 | 显示全部楼层
13.4 Properties of hardmetals and cermets,group architecture observed in the main asteroidal resonances. The chapter also includes one section on the compact systems of exoplanets, the resonant chains existing in some of them, and the capture into Apsidal Corotation Resonances triggered by migrations.
发表于 2025-3-22 21:33:56 | 显示全部楼层
Resonant Asteroidal Dynamics,f the proposed empirical relationships between the Lyapunov time and sudden orbital transitions, the so-called stable chaos, the swing-by mechanisms responsible for significant orbital changes, and the case of resonant asteroids in cometary orbits.
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