The Solar System is a complex and fascinating dynamical system. This is the first textbook to describe comprehensively the dynamical features of the Solar System and to provide students with all the mathematical tools and physical models they need to understand how it works. It is a benchmark publication in the field of planetary dynamics and destined to become a classic. Clearly written and well illustrated, Solar System Dynamics shows how a basic knowledge of the two- and three-body problems and perturbation theory can be combined to understand features as diverse as the tidal heating of Jupiter's moon Io, the origin of the Kirkwood gaps in the asteroid belt, and the radial structure of Saturn's rings. Problems at the end of each chapter and a free Internet Mathematica (R) software package are provided. Solar System Dynamics provides an authoritative textbook for courses on planetary dynamics and celestial mechanics. It also equips students with the mathematical tools to tackle broader courses on dynamics, dynamical systems, applications of chaos theory and non-linear dynamics.
Preface; 1. Structure of the solar system; 2. The two-body problem; 3. The restricted three-body problem; 4. Tides, rotation and shape; 5. Spin-orbit coupling; 6. The disturbing function; 7. Secular perturbations; 8. Resonant perturbations; 9. Chaos and long-term evolution; 10. Planetary rings; Appendix A. Solar system data; Appendix B. Expansion of the disturbing function; Index.