Overview
- First book dedicated entirely to problems of stability and chaotic behaviour in planetary systems
- Treats the Solar system and exoplanetary dynamics in a unified framework
- Provides a description of most modern analytical and numerical techniques for studies of chaotic phenomena in planetary systems
Part of the book series: Astrophysics and Space Science Library (ASSL, volume 463)
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Table of contents (16 chapters)
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Front Matter
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Origins and Manifestations of Dynamical Chaos
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Front Matter
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Resonances and Chaos in the Solar System
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Front Matter
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Keywords
About this book
This is the first monograph dedicated entirely to problems of stability and chaotic behaviour in planetary systems and its subsystems. The author explores the three rapidly developing interplaying fields of resonant and chaotic dynamics of Hamiltonian systems, the dynamics of Solar system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show in detail how the observed dynamical architectures arise in the Solar system (and its subsystems) and in exoplanetary systems. The book concentrates, in particular, on chaotic diffusion and clearing effects. The potential readership of this book includes scientists and students working in astrophysics, planetary science, celestial mechanics, and nonlinear dynamics.
Reviews
“Shevchenko’s book is a remarkably thorough and timely overview of the subject, suitable for any researcher in the field but ideally one with an appropriate background in Hamiltonian dynamics. ... This is an area where chaos as a tool becomes less descriptive and more diagnostic — the true sign of a subject reaching maturity; this book is a chronicle of that journey.” (Carl Murray, The Observatory, Vol. 141 (1282), June, 2021)
Authors and Affiliations
About the author
Ivan I. Shevchenko is Professor at Saint Petersburg State University and Head of the Department of Celestial Mechanics and Dynamical Astronomy at Pulkovo Observatory of the Russian Academy of Sciences, Saint Petersburg, Russia. He is author of the book "The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy", Springer (2017).
Bibliographic Information
Book Title: Dynamical Chaos in Planetary Systems
Authors: Ivan I. Shevchenko
Series Title: Astrophysics and Space Science Library
DOI: https://doi.org/10.1007/978-3-030-52144-8
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-52143-1Published: 01 September 2020
Softcover ISBN: 978-3-030-52146-2Published: 01 September 2021
eBook ISBN: 978-3-030-52144-8Published: 31 August 2020
Series ISSN: 0067-0057
Series E-ISSN: 2214-7985
Edition Number: 1
Number of Pages: XII, 376
Number of Illustrations: 93 b/w illustrations, 46 illustrations in colour
Topics: Astrophysics and Astroparticles, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control, Classical Mechanics