Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems [Paperback]

The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 3 and August 13, 1987 under the title Long Term Dynamical Behaviour of Natural and Artificial N-body Systems . The Institute was the latest in a series held in 1972, 1975, 1978, 1981, 1984 in dynamical astronomy, theoretical mechanics and celestial mechanics under the Directorship of Professor Victor Szebehely. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received and valuable Proceedings. In correspondence with Professor Szebehely and in long discussions with him in Colorado in August 1985, I agreed to his request that I undertake the preparation of a new ASI. I was happy to do so knowing I could call upon his vast experience in overseeing such ASI's. The last quarter century has been a period in which increasingly rapid progress has been made in celestial mechanics and related subjects not only because of the appearance of new problems urgently requiring solution but also because of the advent of new analytical techniques and powerful computer hardware and software.I: Planetary Dynamics.- Dynamical Evolution of Planetary Systems and the Significance of Bodes Law.- Further Numerical Investigations into the Significance of Bodes Law.- Where are the Saturnian Trojans?.- Orbital Evolution.- Planetary Perturbation Theory from Lie Series, including Resonance and Critical Arguments.- Secular Perturbations of Planetary Orbits and their Representation as Series.- The Accumulation of Integration Error.- Numerical Regularization of the Lagrange Planetary Equations.- II: Dynamics of Natural and Artificial Satellites.- General Formulas for Three-Body Resonances.- Analytical Methods for the Radial Intermediaries.- Analytical Theory of the Rotation of an Artificial Satellite.- Some Models for the Motion of the Co-orbital Satellites of Saturn.- Long-periodlC1