The papers in this volume cover a large range of questions concerning the dynamics of objects of the solar system, from theoretical Hamiltonian mechanics to the study of the dynamical behaviour of specific objects, with a strong emphasis on the detection, causes and effects of chaotic behaviour. Several papers describe contributions in two topics which are considered as a major breakthrough in numerical dynamics: symplectic methods of numerical integration of Hamiltonian systems, and methods for spectral analysis of numerically computed orbits leading to refined tools for the detection and evaluation of chaos. The dynamics of the asteroid belt and other small objects, a fast-moving topic with important implications for the origin and evolution of the Solar System, is also extensively covered.

This volume contains the papers presented at the Third Alexander von Humboldt Colloquium on Celestial Mechanics. The papers cover a large range of questions, from the behaviour of dust particles to the stability of the solar system as a whole. The motions of asteroids and their classification into families are also discussed. Specific topics addressed are KAM theory, chaotic motions, resonances, Lyapunov characteristic exponents, perturbation theory and numerical integration.

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