Stability and Chaos in Celestial Mechanics [Paperback]

This overview of classical celestial mechanics focuses the interplay with dynamical systems. Paradigmatic models introduce key concepts  order, chaos, invariant curves and cantori  followed by the investigation of dynamical systems with numerical methods.

From the reviews:

The aim of this book is to demonstrate a modern aspects of celestial mechanics. & The book contain a set of Appendices (AG) good for quick reference to the literature & . The present excellent book is devoted to advance level undergraduate students as well as postgraduate students and researchers. The author provided comprehensive literature, 175 items. (Nikolay Asenov Kostov, Google Bucher, June, 2010)

This book is a comprehensive introduction to problems of celestial mechanics appropriate for students, PhD students and specialists in the area. (Nikolay Asenov Kostov, Journal of Geometry and Symmetry in Physics, Vol. 20, 2010)

This book is a welcome addition to the literature on celestial mechanics. The book contains a great wealth of information. & This book is suitable both for the beginner and the expert. & The books main strengths are the great amount of information packed in only 261 pages, which makes it suitable as an introduction, but also as a reference & . In conclusion, I think the book would be a great & addition to any dynamicists library.??? (Manuele Santoprete, Mathematical Reviews, Issue 2011 d)

This book builds a well supported bridge between the maths of Hamiltonian dynamics and Celestial Mechanics. Both historical examples of dynamical systems and the mechanical details needed to work in Celestial Mechanics are cló¾