| 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 |
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