Dynamical Chaos in Planetary Systems
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Beschreibung
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.
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.
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
Autor*in
Ivan I. Shevchenko
Themen in »Dynamical Chaos in Planetary Systems«
planetary systems dynamical chaos planetary chaotic zones nonlinear dynamics Hamiltonian systems dynamics of exoplanets resonances and chaos solar system dynamics circumbinary planets chaotic clearing
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“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)
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