Chaos and Stability in Planetary SystemsRudolf Dvorak, F. Freistetter, Jürgen Kurths Springer Science & Business Media, 13.01.2006 - 281 Seiten 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. |
Inhalt
Orbit Dynamics Stability and Chaos in Planetary Systems | 5 |
2 Mappings | 7 |
3 Hamiltonian Systems | 25 |
4 The TwoBody Problem | 37 |
5 The Restricted Three Body Problem | 52 |
6 The Sitnikov Problem | 72 |
7 Planetary Motion and Classical Perturbation Theory | 84 |
8 Secular Perturbation Theory | 97 |
References | 185 |
Extrasolar Planetary Systems | 187 |
Planet Formation | 189 |
the Standard Model | 190 |
3 Small Bodies and Planet Formation | 207 |
the Fragmentation Model | 212 |
5 Planet Migration | 215 |
References | 217 |
9 The chaotic Motion of the Planets and the Stability of the Solar System | 105 |
10 Terrestrial Planets in Extrasolar Planetary Systems | 113 |
Back to the Golden Mean | 120 |
A Lie Integration Method | 123 |
B Lie Perturbation Method | 129 |
C Laplace Coefficients | 136 |
D Legendre Polynomials | 137 |
References | 138 |
Regular and Chaotic Motion in Hamiltonian Systems | 143 |
2 Elementary Tools | 146 |
3 Integrable Systems | 151 |
4 Chaotic Systems | 164 |
5 Resonance Overlap Criterion | 180 |
Extrasolar Planetary Systems | 221 |
2 Orbit Determination | 226 |
3 The Known Planetary Systems | 237 |
4 Chaos | 244 |
5 Transition from Secular to Resonant Dynamics | 249 |
6 Apsidal Corotation Resonances ACR | 252 |
7 Planetary Migration | 257 |
8 Conclusion | 262 |
A Appendix | 264 |
| 269 | |
| 275 | |
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Chaos and Stability in Planetary Systems Rudolf Dvorak,F. Freistetter,Jürgen Kurths Keine Leseprobe verfügbar - 2005 |
Chaos and Stability in Planetary Systems Rudolf Dvorak,F. Freistetter,Jürgen Kurths Keine Leseprobe verfügbar - 2009 |
Chaos and Stability in Planetary Systems Rudolf Dvorak,F. Freistetter,Jürgen Kurths Keine Leseprobe verfügbar - 2014 |
Häufige Begriffe und Wortgruppen
accretion action-angle variables amplitude angle angular momentum asteroid barycentre canonical Chaos chaotic motion CMDA comets compute constants of motion coordinates corotation resonance corresponding curves defined derived disk Dvorak dynamical system eccentricity energy equations of motion ergodic evolution extrasolar Əqi fixed point frequencies function giant planets gravitational Hamiltonian systems initial conditions integral of motion Jupiter Kepler Lagrange point Lyapunov mean motion resonances migration nebula observations oscillation outer planets P₁ parameter particle periastron period ratio periodic orbits perturbation phase space planet formation planetary system planetesimals power spectrum radial velocity ratio region rotating Sect secular semi-major axis simulations solar nebula Solar System solution stability Standard Mapping star mass surface of section temperature terrestrial planets theory three body problem torus trajectory transformation Trojan Uranus vector zero ән дак