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Chaos and Stability in Planetary Systems 2005 ed. [Kõva köide]

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  • Formaat: Hardback, 281 pages, kõrgus x laius: 235x155 mm, kaal: 1310 g, XI, 281 p., 1 Hardback
  • Sari: Lecture Notes in Physics 683
  • Ilmumisaeg: 13-Jan-2006
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540282084
  • ISBN-13: 9783540282082
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  • Formaat: Hardback, 281 pages, kõrgus x laius: 235x155 mm, kaal: 1310 g, XI, 281 p., 1 Hardback
  • Sari: Lecture Notes in Physics 683
  • Ilmumisaeg: 13-Jan-2006
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540282084
  • ISBN-13: 9783540282082
Teised raamatud teemal:
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.

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From the reviews:









"This book contains the lectures given at the 3rd Helmholtz Institute for Supercomputational Physics summer school held in Potsdam in 2005. The purpose of this school was to present the basic theory on Hamiltonian Dynamics in general and Celestial Mechanics in particular . This book is an excellent introduction to those who wish to study the extrasolar planetary systems, since it provides all the basic theory of dynamics, relevant to this subject and a thorough presentation of the formation of planetary systems ." (John D. Hadjidemetriou, Celestial Mechanics and Dynamical Astronomy, Vol. 97 (3), 2007)

Part I Introduction to Orbital Dynamics and Chaotic Systems
Orbit Dynamics, Stability and Chaos in Planetary Systems
3(138)
Rudolf Dvorak
Florian Freistetter
Prolog: The Golden Mean
3(2)
Mappings
5(18)
Hamiltonian Systems
23(12)
The Two-Body Problem
35(15)
The Restricted Three Body Problem
50(20)
The Sitnikov Problem
70(12)
Planetary Motion and Classical Perturbation Theory
82(13)
Secular Perturbation Theory
95(8)
The chaotic Motion of the Planets and the Stability of the Solar System
103(8)
Terrestrial Planets in Extrasolar Planetary Systems
111(7)
Epilog: Back to the Golden Mean
118(3)
Lie Integration Method
121(6)
Lie Perturbation Method
127(7)
Laplace Coefficients
134(1)
Legendre Polynomials
135(6)
References
136(5)
Regular and Chaotic Motion in Hamiltonian Systems
141(46)
Harry Varvoglis
Introduction
141(3)
Elementary Tools
144(5)
Integrable Systems
149(13)
Chaotic Systems
162(16)
Resonance Overlap Criterion
178(9)
References
183(4)
Part II Extrasolar Planetary Systems
Planet Formation
187(32)
Thomas Quinn
Introduction
187(1)
Planet Formation: the Standard Model
188(17)
Small Bodies and Planet Formation
205(5)
Planet Formation: the Fragmentation Model
210(3)
Planet Migration
213(6)
References
215(4)
Extrasolar Planetary Systems
219(54)
S. Ferraz-Mello
T.A. Michtchenko
C. Beauge
N. Callegari Jr.
Introduction
219(5)
Orbit Determination
224(11)
The Known Planetary Systems
235(7)
Chaos
242(5)
Transition from Secular to Resonant Dynamics
247(3)
Apsidal Corotation Resonances (ACR)
250(5)
Planetary Migration
255(5)
Conclusion
260(2)
Appendix
262(11)
References
267(6)
Index 273