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Long-time predictions in dynamics : proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy, August 3-16, 1975

Author: Victor G Szebehely; Byron D Tapley
Publisher: Dordrecht, Holland ; Boston : D. Reidel Pub. Co., ©1976.
Series: NATO advanced study institutes series., Series C,, Mathematical and physical sciences ;, v. 26.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
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Proceedings of the NATO Advanced Study Institute, Cortina D'Ampezzo, Italy, August 3-16, 1975

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Genre/Form: Kongreß
Conference papers and proceedings
Kongress
Congresses
Congrès
Material Type: Conference publication, Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Victor G Szebehely; Byron D Tapley
ISBN: 9027706921 9789027706928
OCLC Number: 2089718
Description: xviii, 358 pages : illustrations ; 25 cm.
Contents: 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 the Capture 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 Stoermer 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 Henon-Heiles Problem.- Newtonian Cosmology with Varying G.- The Effects of Integrals on the Totality of Solutions of Dynamical Systems.
Series Title: NATO advanced study institutes series., Series C,, Mathematical and physical sciences ;, v. 26.
Responsibility: edited by V. Szebehely and B.D. Tapley.

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