LNP-683: Chaos and stability in planetary systems行星系的混沌与稳定性
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作者： R.Dvorak 著
出 版 社： 北京燕山出版社
出版时间： 2006-2-1字数：版次： 1页数： 279印刷时间： 2006/02/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9783540282082包装： 精装内容简介
This book is intended as an introduction to the field of planetary systems at the postgraduate level. It consists of four extensive lectures on Hamiltonian dynamics, celestial mechanics, the structure of extrasolar planetary systems and the formation of planets. As such, this volume is particularly suitable for those who need to understand the substantial connections between these different topics.
目录
Part I Introduction to Orbital Dynamics and Chaotic Systems
Orbit Dynamics, Stability and Chaos in Planetary Systems
1 Prolog: The Golden Mean
2 Mappings
3 Hamiltonian Systems
4 The Two-Body Problem
5 The Restricted Three Body Problem
6 The Sitnikov Problem
7 Planetary Motion and Classical Perturbation Theory
8 Secular Perturbation Theory
9 The chaotic Motion of the Planets and the Stability of the Solar System
10 Terrestrial Planets in Extrasolar Planetary Systems
11 Epilog: Back to tile Golden Mean
A Lie Integration Method
B Lie Perturbation Method
C Laplace Coefficients
D Legendre Polynomials
References
Regular and Chaotic Motion in Hamiltonian Systems
1 Introduction
2 Elementary Tools
3 Integrable Systems
4 Chaotic Systems
5 Resonance Overlap Criterion
References
Part II Extrasolar Planetary Systems
Planet Formation
Thomas Quinn
1 Introduction
2 Planet Formation: the Standard Model
3 Small Bodies and Planet Formation
4 Planet Formation: the Fragmentation Model
5 Planet Migration
References
Extrasolar Planetary Systems
1 Introduction
2 Orbit Determination
3 Tile Known Planetary Systems
4 Chaos
5 Transition from Secular to Resonant Dynamics
6 Apsidal Corotation Resonances (ACR)
7 Planetary Migration
8 Conclusion
A Appendix
References
Index