UID:
almahu_9949199253302882
Format:
XVIII, 358 p.
,
online resource.
Edition:
1st ed. 1976.
ISBN:
9789401014939
Series Statement:
Nato Science Series C:, Mathematical and Physical Sciences, 26
Note:
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 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.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9789401014953
Additional Edition:
Printed edition: ISBN 9789027706928
Additional Edition:
Printed edition: ISBN 9789401014946
Language:
English
DOI:
10.1007/978-94-010-1493-9
URL:
https://doi.org/10.1007/978-94-010-1493-9
