Dynamical Chaos in Planetary Systems

lt;p>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).

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.

"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)