Dynamical Chaos in Planetary Systems

✍ Scribed by Ivan I. Shevchenko

• Publisher: Springer International Publishing;Springer
• Year: 2020
• Tongue: English
• Leaves: 376
• Series: Astrophysics and Space Science Library 463
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xii
Front Matter ....Pages 1-1
Chaotic Behaviour (Ivan I. Shevchenko)....Pages 3-34
Numerical Tools for Studies of Dynamical Chaos (Ivan I. Shevchenko)....Pages 35-51
Lyapunov Timescales (Ivan I. Shevchenko)....Pages 53-76
Diffusion Timescales (Ivan I. Shevchenko)....Pages 77-94
Extents of Chaotic Domains (Ivan I. Shevchenko)....Pages 95-117
Front Matter ....Pages 119-119
Defying the Orrery Paradigm: Historical Background (Ivan I. Shevchenko)....Pages 121-124
Rotational Dynamics (Ivan I. Shevchenko)....Pages 125-146
Orbital Dynamics of Minor Bodies (Ivan I. Shevchenko)....Pages 147-208
Orbital Dynamics of Planets (Ivan I. Shevchenko)....Pages 209-215
Front Matter ....Pages 217-217
Exoplanets: An Overview (Ivan I. Shevchenko)....Pages 219-233
Planetary Architecture: Stability, Packing and Ranging (Ivan I. Shevchenko)....Pages 235-271
Effects of Chaotic Clearing in Planetary Systems (Ivan I. Shevchenko)....Pages 273-289
Multiplanet Systems of Single Stars (Ivan I. Shevchenko)....Pages 291-303
Planetary Systems of Multiple Stars (Ivan I. Shevchenko)....Pages 305-324
The Lidov–Kozai Effect: Chaotic Implications (Ivan I. Shevchenko)....Pages 325-331
Epilogue (Ivan I. Shevchenko)....Pages 333-334
Back Matter ....Pages 335-376

✦ Subjects

Physics; Astrophysics and Astroparticles; Dynamical Systems and Ergodic Theory; Vibration, Dynamical Systems, Control; Classical Mechanics