Overview

"The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1990 under the title ""Predictability, Stability, and Chaos in N-Body Dynamical Systems"". The Institute was the latest in a series held at three-yearly inter­ vals from 1972 to 1987 in dynamical astronomy, theoretical mechanics and celestial mechanics. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received Proceedings. The 1990 Institute attracted 74 participants from 16 countries, six outside the NATO group. Fifteen series of lectures were given by invited speakers; additionally some 40 valuable presentations were made by the younger participants, most of which are included in these Proceedings. The last twenty years in particular has been a time of increasingly rapid progress in tackling long-standing and also newly-arising problems in dynamics of N-body systems, point-mass and non-point-mass, a rate of progress achieved because of correspondingly rapid developments of new computer hardware and software together with the advent of new analytical techniques. It was a time of exciting progress culminating in the ability to carry out research programmes into the evolution of the outer Solar 8 System over periods of more than 10 years and to study star cluster and galactic models in unprecedented detail."

Full Product Details

Author:   Archie E. Roy
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1991
Volume:   272
Dimensions:   Width: 17.80cm , Height: 3.10cm , Length: 25.40cm
Weight:   1.156kg
ISBN:  

9781468459999

ISBN 10:   1468459996
Pages:   616
Publication Date:   17 March 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

I: Aspects of Chaos.- Chaos in a Restricted, Charged Four-Body Problem.- Chaos in the Three-Body Problem.- A New Route to Chaos: Generation of Spiral Characteristics.- Chaos in the N-Body Problem of Stellar Dynamics.- Chaos, Stability, and Predictability in Newtonian Dynamics.- Predictability, Stability, and Chaos in Dynamical Systems.- Analytical Framework in Poincaré Variables for the Motion of the Solar System.- Origin of Chaos and Orbital Behaviour in Slowly Rotating Triaxial Models.- II: Dynamics of Asteroids, Comets, and Meteors.- Modelling: An Aim and a Tool for the Study of the Chaotic Behaviour of Asteroidal and Cometary Orbits.- Mapping Models for Hamiltonian Systems with Application to Resonant Asteroid Motion.- A Model for the Study of Very-High-Eccentricity Asteroidal Motion: The 3:1 Resonance.- The Location of Secular Resonances.- Temporary Capture into Resonance.- Applications of the Restricted Many-Body Problem to Binary Asteroids.- The Wavelet Transform as Clustering Tool for the Determination of Asteroid Families.- Delivery of Meteorites from the V6 Secular Resonance Region Near 2 AU.- The Dynamics of Meteoroid Streams.- Perturbation Theory, Resonance, Librations, Chaos, and Halley’s Comet.- Rotational Behaviour of Comet Nuclei.- III: Dynamics of Natural and Artificial Satellites.- The Moon’s Physical Librations - Part 1: Direct Gravitational Perturbations.- The Moon’s Physical Librations - Part II: Non-Rigid Moon and Direct Non-Gravitational Perturbations.- Significant High Number Commensurabilities in the Main Lunar Problem: A Postscript to a Discovery of the Ancient Chaldeans.- Moon’s Influence on the Transfer from the Earth to a Halo Orbit Around L1.- First Order Theory of Perturbed Circular Motion: An Application to ArtificialSatellites.- Poincaré-Similar Variables Including J2-Secular Effects.- Measuring the Lack of Integrability of the J2 Problem for Earth’s Satellites.- The Effects of the J3-Harmonic (Pear Shape) on the Orbits of a Satellite.- Stability of Satellites in Spin-Orbit Resonances and Capture Probabilities.- Statistical Analysis of the Effects of Close Encounters of Particles in Planetary Rings.- The Three-Dipole Problem.- The N-Dipole Problem and the Rings of Saturn.- Long-Time Predictions of Satellite Orbits by Numerical Integration.- Chaos in Coorbital Motion.- IV: The Three-Body Problem.- Remarkable Termination Orbits of the Restricted Problem.- Periodic Orbits in the Isosceles Three-Body Problem.- Quasi-Periodic Orbits as a Substitute of Libration Points in the Solar System.- Stability Zones Around the Triangular Lagrangian Points.- Chaotic Trajectories in the Restricted Problem of Three Bodies.- New Formulations of the Sitnikov Problem.- Periodic Solutions for the Elliptic Planar Restricted Three-Body Problem: A Variational Approach.- Hill-Type Stability and Hierarchical Stability of the General Three-Body Problem.- Equilibrium Connections on the Triple Collision Manifold.- Orbits Asymptotic to the Outermost KAM in the Restricted Three-Body Problem.- V: Selected Topics in Dynamics.- A New Interpretation of Collisions in the N-Body Problem.- An Impulsional Method to Estimate the Long-Term Behaviour of a Perturbed System: Application to a Case of Planetary Dynamics.- Improved Bettis Methods for Long-Term Prediction.- Application of Spherically Exact Algorithms to Numerical Predictability in Two-Body Problems.- Are There Irregular Families of Characteristic Curves?.- Non-Linearity in the Angles-Only Initial Orbit Determination Problem.- A Perturbation of the RelativisticKepler Problem.- Integrable Three-Dimensional Dynamical Systems and the Painlevé Property.- Generic and Nongeneric Hopf Bifurcation.- The Chaotic Motion of a Rigid Body Rotating About a Fixed Point.- Participants and Speakers.- Author Index.

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