Proceedings of the NATO Advanced Study Institute, Cortina D'Ampezzo, Italy, August 3-16, 1975
Inhaltsverzeichnis
I. Fundamentals. - From the Theory of Numbers via Gyroscopes and Lie Algebras to Linear Celestial Mechanics. - Lectures on Linearizing Transformations of Dynamical Systems. - Strongly Perturbed Dynamical Systems. - Catastrophes in Lagrangian Systems - A. - An Example - B. - Statistical Behavior in Conservative Classical Systems. - G1obal Stability of Area-Preserving Mappings. - On the Method of Averaging. - On the Theory of Averaging. - Qualitative Investigation of Almost Separable Hamiltonian System of Two Degrees of Freedom. - II. Numerical and Statistical Analysis. - Stabilization, Manipulation, and Analytic Step Adaption. - On the Interpretation of Least Squares Collocation. - A Note on Stabilization in Three-Body Regularization. - III. Three and Many-Body Problems. - Qualitative Methods and Results in Celestial Mechanics. - On the Characteristic Exponents of the General Three-Body Problem. - Families of Periodic Orbits in the General N-Body Problem. - Triple Collision. - An Invariant Measure for the Planar Restricted Three Body Problem. - Periodic Oscillations of the First Generation in the Stormer Problem. - IV. Dynamics in Astronomy. - Formal Expressions for the Motion of NPlanets in the Plane, with the Secular Variations Included, and an Extension to Poisson s Theorem. - The Principle of Least Interaction Action. - Rotational Motions of the Terrestrial Planets. - Long-Term Orbit Determination and Prediction for Geodynamic Investigations. - V. Abstracts of Seminar-Contributions. - Dynamical Systems Involving Uncertainty. - Periodic Orbits Around the Equilibrium Points of a Central Gravitational Potential Perturbed by the J22 Term. - Time Regularization and Stabilization of an Adams-Moulton-Cowel1 Algorithm. - On the Theory of an Artificial Satellite. - The Evolution of Planetary Orbits in theCapture Theory of the Origin of the Solar System. - Geodynamic Investigations Using Very Long Term Observation of Near-Earth Satellites. - A New Transformation for the Perturbed Problem of Two Bodies. - Kozai s Theory of an Artificial Satellite. - Cassini s Laws. - Theory of the Rotation of the Riged Earth. - Periodic Oscillations of the Second Generation in the Störmer Problem. - Three-Dimensional Branchings of Plane Periodic Solutions. - On Stabilization Using the Energy Integral. - Resonance Effects in Satellite Orbits. - On the Resonance 1:1 for Hamiltonian Systems Near an Equilibrium Point. - Periodic Orbits Near an Equilibrium Pgint: The Liapunov Center Theorem. - Analytical and Numerical Study of a Perturbed Pendulum. - Algebraical Aspects of Perturbation Theories. - Stabilization and Time Elements for Kepler s Problem. - A Note on the Hénon-Heiles Problem. - Newtonian Cosmology with Varying G. - The Effects of Integrals on the Totality of Solutions of Dynamical Systems.
