Dynamical Chaos in Planetary Systems

by Ivan I. Shevchenko

Overview

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.

Product Details

ISBN-13:	9783030521431
Publisher:	Springer International Publishing
Publication date:	09/01/2020
Series:	Astrophysics and Space Science Library , #463
Edition description:	1st ed. 2020
Pages:	376
Product dimensions:	6.10(w) x 9.25(h) x (d)

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).

Table of Contents

Part I: Origins and Manifestations of Dynamical Chaos.- 1. Chaotic Behaviour.- 2. Numerical Tools for Studies of Dynamical Chaos.- 3. Lyapunov Timescales.- 4. Diffusion Timescales.- 5. Extents of Chaotic Domains.- Part II: Resonances and Chaos in the Solar System.- 6. Defying the Orrery Paradigm: Historical Background.- 7. Rotational Dynamics.- 8. Orbital Dynamics of Minor Bodies.- 9. Orbital Dynamics of Planets.- Part III: Dynamics of Exoplanets.- 10. Exoplanets: An Overview.- 11. Planetary Architecture: Stability, Packing and Ranging.- 12. Effects of Chaotic Clearing in Planetary Systems.- 13. Multiplanet Systems of Single Stars.- 14. Planetary Systems of Multiple Stars.- 15. The Lidov–Kozai Effect: Chaotic Implications.- 16. Epilogue.

Editorial 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)

From the Publisher