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The Stability of Planetary Systems

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Table of Contents

Preface.- Preface.- Introductory Address.- The Meaning of Celestial Mechanics in the Kosmos of Alexander von Humboldt.- Astrometric Problems.- Inertial Systems - Definitions and Realizations.- Minor Planet Observations and the Fundamental Reference System.- The Empirical Inertial System Determined in FK5 by the Dynamics of the Planetary System (Abstract).- Observations of Minor Planets with the Very Large Array.- Qualitative Methods.- Review of Concepts of Stability.- Three-Body Problem.- The Lyapunov Characteristic Exponents - Applications to Celestial Mechanics.- Kolmogorov Entropy as a Measure of Disorder in Some Non-Integrable Hamiltonian Systems.- Generalizations of the Jacobian Integral.- Application of Lie-Series to Regularized Problems in Celestial Mechanics.- Integration of the Elliptic Restricted Three-Body Problem with Lie Series.- Planetary Motions.- The Stability of Our Solar System.- Approximation Methods in Celestial Mechanics. Applications to Pluto's Motion.- Termes Seculaires Dans la Theorie des Perturbations.- Amelioration des Theories Planetaires Analytiques.- Motions of the Perihelions of Neptune and Pluto.- Progress in General Planetary Theory (Abstract).- Satellite Motions.- Satellite Orbits and Ephemerides.- Tidal Effects and the Motion of a Satellite (Abstract).- The Effect, of the Dynamical Parameters in the Motion of the Galilean Satellites of Jupiter.- Libration of Laplace's Argument in the Galilean Satellites Theory.- Planetary Perturbations on the Libration of the Moon.- Stability of L4 and L5 Against Radiation Pressure.- Cosmogony.- The Formation of the Planetary System.- Dynamics of Ring-Satellite Systems Around Saturn and Uranus.- Formation of the Kirkwood Gaps in the Asteroid Belt.- Resonant Structure of the Outer Asteroid Belt.- The Dynamics of Bodies with Variable Masses.- Numerical Experiments on Planetary Orbits in Double Stars.- Periodic Orbits, Resonances, and Asteroid Motions.- Periodic Orbits.- The Problem of Small Divisors in Planetary Motion.- The Ideal Resonance Problem - A Comparison of Two Formal Solutions I.- Trojan Orbits in Secular Resonances.- Critical Inclination of Trojan Asteroids.- An Application of Labrouste's Method to Quasi-Periodic Asteroidal Motion.- A Note on Resonance in Regular Variables and Averaging.- On the Brown Conjecture.- List of Participants.- Announcement.

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