Stability and Chaos in Celestial Mechanics: Springer Praxis Books

Order and chaos.- Numerical dynamical methods.- Kepler’s problem.- The three-body problem and the Lagrangian solutions.- Rotational dynamics.- Perturbation theory.- Invariant tori.- Long-time stability.- Determination of periodic orbits.- Regularization theory.

From the reviews:
“The aim of this book is to demonstrate a modern aspects of celestial mechanics. … The book contain a set of Appendices (A–G) 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 book’s 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 dynamicist’s 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 clearly covered so that a student can gain working knowledge in both fields. … this book a real pleasure to read. … an ideal textbook for a graduate Physics/Astronomy class focusing on Celestial Mechanics … . Students preparing to work on exo-planetary system dynamics should find this book a valuable resource.” (Alice Quillen, Celestial Mechanics and Dynamical Astronomy, Vol. 110, 2011)

Provides a comprehensive survey of the tools of celestial mechanics from classical theories to modern methods Presents a variety of useful computer – assisted techniques with practical examples of applications Demonstrates the interplay between classical celestial mechanics and the modern tools of dynamical systems Gives useful examples for the constructive implementation of perturbation theory Investigates the regular and chaotic behavior of the trajectories of planets, spacecraft orbits, and rotation of satellites Will be used for teaching and research in space exploration