<P>This book presents classical celestial mechanics and its interplay with dynamical systems in a way suitable for advance level undergraduate students as well as postgraduate students and researchers. First paradigmatic models are used to introduce the reader to the concepts of order, chaos, invari
Stability and Chaos in Celestial Mechanics
β Scribed by Professor Alessandra Celletti (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2010
- Tongue
- English
- Leaves
- 264
- Series
- Springer Praxis Books
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
From the reviews:
βThe aim of this book is to demonstrate a modern aspects of celestial mechanics. β¦ The book contain a set of Appendices (AβG) good for quick reference to the literature β¦ . 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.β (Nikolay Asenov Kostov, Google Bucher, June, 2010)
βThis book is a comprehensive introduction to problems of celestial mechanics appropriate for students, PhD students and specialists in the area.β (Nikolay Asenov Kostov, Journal of Geometry and Symmetry in Physics, Vol. 20, 2010)
βThis book is a welcome addition to the literature on celestial mechanics. The book contains a great wealth of information. β¦ This book is suitable both for the beginner and the expert. β¦ The bookβs 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 β¦ . In conclusion, I think the book would be a great β¦ addition to any dynamicistβs library.βΒΒΒ (Manuele Santoprete, Mathematical Reviews, Issue 2011 d)
βThis 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. β¦ this book a real pleasure to read. β¦ an ideal textbook for a graduate Physics/Astronomy class focusing on Celestial Mechanics β¦ . Students preparing to work on exo-planetary system dynamics should find this book a valuable resource.β (Alice Quillen, Celestial Mechanics and Dynamical Astronomy, Vol. 110, 2011)
β¦ Table of Contents
Front Matter....Pages I-XV
Order and chaos....Pages 1-19
Numerical dynamical methods....Pages 21-37
Keplerβs problem....Pages 39-61
The three-body problem and the Lagrangian solutions....Pages 63-81
Rotational dynamics....Pages 83-106
Perturbation theory....Pages 107-125
Invariant tori....Pages 127-176
Long-time stability....Pages 177-190
Determination of periodic orbits....Pages 191-205
Regularization theory....Pages 207-226
Back Matter....Pages 227-261
β¦ Subjects
Extraterrestrial Physics, Space Sciences;Astrophysics and Astroparticles;Mechanics;Statistical Physics, Dynamical Systems and Complexity;Mathematical Methods in Physics
π SIMILAR VOLUMES
<P>This book presents classical celestial mechanics and its interplay with dynamical systems in a way suitable for advance level undergraduate students as well as postgraduate students and researchers. First paradigmatic models are used to introduce the reader to the concepts of order, chaos, invari
<P>Alessandra Cellettiβs proposed book presents classical celestial mechanics and its interplay with dynamical systems in a way that would be suitable for advance level undergraduate students as well as postgraduate students and researchers. First she uses paradigmatic models, such as the logistic m