Long-Time Predictions in Dynamics

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.