This book is an up-to-date introduction to the Hamiltonian dynamics of the Solar System and planetary systems in general. The first half focuses on the essentials of Hamiltonian dynamics, the indispensable theoretical framework for modern celestial mechanics. The second half deals specifically with the Solar System through two key strategies: canonical perturbation theory and numerical simulation using symplectic integration. These powerful methods are relevant to many areas of investigation, including the evolution of the Solar System and the thousands of exoplanets which have recently come into view. The final chapter focuses on a particularly exciting, if controversial, application-the prediction of a ninth planet orbiting at a great distance from the Sun. The book should appeal to advanced students and researchers in physics and astronomy looking to develop their understanding of the Hamiltonian framework. It is accompanied by an electronic supplement prepared using both Wolfram® and Python.

‘Hamiltonian Dynamics of the Solar System provides a pedagogical entry into the beautiful subject of Solar System dynamics. Through a series of paradigmatic models, the text establishes a theoretical baseline from which students can build a broader understanding of the field.’

Konstantin Batygin - Caltech