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Qualitative and Quantitative Behaviour of Planetary Systems: Proceedings of the Third Alexander von Humboldt Colloquium on Celestial Mechanics

Editat de Rudolf Dvorak, Jacques Henrard
en Limba Engleză Paperback – 22 noi 2012
This volume contains the papers presented at the Third Alexander von Humboldt Colloquium on Celestial Mechanics. The papers cover a large range of questions of current interest, from the behaviour of dust particles to the stability of the solar system as a whole. The motions of asteroids and their classification into families are also discussed. Specific topics addressed are KAM theory, chaotic motions, resonances, Lyapunov characteristic exponents, perturbation theory and numerical integration.
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Specificații

ISBN-13: 9789401048989
ISBN-10: 9401048983
Pagini: 412
Ilustrații: IX, 396 p.
Dimensiuni: 160 x 240 x 22 mm
Greutate: 0.58 kg
Ediția:Softcover reprint of the original 1st ed. 1993
Editura: SPRINGER NETHERLANDS
Colecția Springer
Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

Session on Planetary Theories.- Review of Planetary and Satellite Theories.- The Mystery of Pluto’s Mass — The Ring Hypothesis.- Recent progress in the theory and application of symplectic Integrators.- Stable Planetary Orbits Around One Component in Nearby Binary Stars.- Stability of Outer Planetary Orbits Around Binary Stars: a Comparison of Hill’s and Laplace Stability Criteria.- An Excess Motion of the Ascending Node of Mercury in the Observations Used by Le Verner.- Session on the Sitnikov Problem.- Numerical Results to the Sitnikov-Problem.- A Computer Aided Analysis of the Sitnikov Problem.- The Original Sitnikov Article — New Insights.- Session on Asteroids.- Proper Elements: What are They?.- The High Eccentricity Libration of the Hildas II: Synthetic-Theory Approach.- A Stability Study of Asteroid Families Near the 3:1 and 5:2 Resonance with Jupiter.- Chaotic Behaviour of Trajectories for the Asteroidal Resonances.- Low-Eccentricity Motion of Asteroids Near the 2/1 Jovian Resonance.- Numerical Experiments in the 3/1 and v6 Overlapping Resonance Region.- Session on Resonance Problems.- An Introduction to Hamiltonian Dynamical Systems and Practical Perturbation Methods: New Insight by Successive Elimination of Perturbation Harmonics.- Frequency Analysis of a Dynamical System.- An Application of KAM Theory to the Planetary Three Body Problem.- Resonant Motion in the Restricted Three Body Problem.- A Fourth-Order Solution of the Ideal Resonance Problem.- Session on General Dynamical Systems.- Wavelet Analysis and Applications to Some Dynamical Systems.- Wavelet Analysis of the Standard Map: Structure and Scaling.- Asteroids: 2/1 Resonance and High Eccentricity.- On the Second Order Long-Period Motion of Hyperion.- The Problem of Critical InclinationCombined with a Resonance in Mean Motion in Artificial Satellite Theory.- Session on Chaos and Stability.- Meteorites from the Asteroid 6 Hebe.- Generalized Lyapunov-Characteristic Indicators and Corresponding Kolmogorov like Entropy of the Standard Mapping.- Generalized Lyapunov Exponents Indicators in Hamiltonian Dynamics: An Application to a Double Star System.- Asteroid 522 Helga is Chaotic and Stable.- Session on Miscellaneous Problems.- Classical Periodic Orbits and Quantum Mechanical Eigenvalues and Eigenfunctions.- Generalized Least-Squares Adjustments: A Timely but Much Ignored Tool.- Least Squares Parameter Estimation in Chaotic Differential Equations.- The arrangement in Mean Elements Space of the Periodic Orbits Close to that of the Moon.- Resonance Trapping of Circumstellar Dust Particles by an Alleged Planet.- Orbital Resonances and Poynting-Robertson Drag Confining Dust Particles in ?-Pic Disk.