Authors:
- 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
Part of the book series: Springer Praxis Books (PRAXIS)
Part of the book sub series: Astronomy and Planetary Sciences (ASTRONOMY)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Reviews
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)
Authors and Affiliations
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Department of Mathematics, University of Rome “Tor Vergata”, Rome, Italy
Alessandra Celletti
Bibliographic Information
Book Title: Stability and Chaos in Celestial Mechanics
Authors: Alessandra Celletti
Series Title: Springer Praxis Books
DOI: https://doi.org/10.1007/978-3-540-85146-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Earth and Environmental Science, Earth and Environmental Science (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Hardcover ISBN: 978-3-540-85145-5Published: 25 November 2009
Softcover ISBN: 978-3-642-26156-5Published: 14 March 2012
eBook ISBN: 978-3-540-85146-2Published: 10 March 2010
Edition Number: 1
Number of Pages: XVI, 264
Number of Illustrations: 43 b/w illustrations
Additional Information: Jointly published with Praxis Publishing, UK
Topics: Astronomy, Astrophysics and Cosmology, Astrophysics and Astroparticles, Classical Mechanics, Complex Systems, Mathematical Methods in Physics, Statistical Physics and Dynamical Systems