NATO Science Series C: Long-Time Predictions in Dynamics: Proceedings of the NATO Advanced Study Institute Held in Cortina d Ampezzo Italy Au Book 26 (Hardcover)

This volume contains lectures given at the NATO Advanced Study Institute on Long-Time Predictions in Dynamics conducted in Cortina d Ampezzo Italy during August 3-16 1975. The lectures were presented in groups according to the original structure of the Institute. Under Fundamentals the general concepts were treated by Contopoulos DeWitt Reichl Stiefel Szebehely Bartlett Kirchgraber Verhults and Sigrist. This was followed by the series of lectures on Numerical and Statistical Analysis offered by Aarseth Baumgarte and Tapley. The third principal subject was Three and Many-Body Problems with Garfinkel Broucke Hadjidemetriou Marchal Nahon Waldvogel Lasco and Markellos as the major speakers. The last group of lectures treated Dynamics in Astronomy by Colombo Message Ovenden Vicente and Douglas. Some of the outstanding lectures were rather didactic in nature or were published elsewhere or could not meet the deadline for publication. The Editors will be delighted to furnish leads to those interested in these lectures. Some of the lectures were presented in form of seminar-contributions. These are published as Summaries at the end of this Volume. The Institute was dedicated to the conceptual analytical numerical and applied aspects of the problem of long-time predic- tion in dynamics. This fundamental problem emerged in all lectures: linearization regularization stabilization averaging estimation periodic orbits qualitative aspects secular variations resonance invariants etc. were some of the subjects treated in depth. Some conclusions are offered here with the utmost humility and with the advance acknowledgement of the fact that we all hear what we want to hear.