Overview

The papers in this volume cover a large range of questions concerning the dynamics of objects of the Solar System from theoretical Hamiltonian Mechanics to the study of the dynamical behaviour of specific objects with a strong emphasis on the detection, causes and effects of chaotic behaviour. Several papers describe contemporary contributions in two very lively topics; symplectic method of numerical integration of Hamiltonian systems and methods for special analysis of computed orbits leading to refined tools for the detection and evaluation of chaos. The dynamics of the asteroid belt and of NEOs (near Earth objects), two important topics with implications on the evolution of planetary systems and on the assessment of probabilities of catastrophic collisions, are also covered. This volume will be of interest to mathematicians and physicists interested in Hamiltonian mechanics and in the dynamics of planetary systems.

Full Product Details

Author:   Rudolf Dvorak ,  Jacques Henrard
Publisher:   Springer
Imprint:   Springer
Edition:   Reprinted from CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY, 78, 2001
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.590kg
ISBN:  

9780792369660

ISBN 10:   0792369661
Pages:   380
Publication Date:   31 July 2001
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Statistics for Twenty-First Century Astrometry.- Synthetic Proper Elements for Outer Main Belt Asteroids.- Invariant Tori in the Secular Motions of the Three-Body Planetary Systems.- Improvements of Planetary Theories Over 6000 Years.- The Distribution of Energy Perturbations at Planetary Close Encounters.- Dynamics of Small Earth-Approachers on Low-Eccentricity Orbits and Implications for their Origins.- The Phase Space Structure Around L4 in the Restricted Three-Body Problem.- Why Do Trojan ASCS (not) Escape?.- The 2/1 and 3/2 Resonant Asteroid Motion: A Symplectic Mapping Approach.- Twist and Non-Twist Bifurcations in a System of Coupled Oscillators.- The Mel’nikov Subharmonic Function and the Non-Existence of Analytic Integrals in Non-Autonomous Systems.- On the Structure of Symplectic Mappings. The Fast Lyapunov Indicator: A Very Sensitive Tool.- Crossing of Various Cantori.- Fractal Dimensions as Chaos Indicators.- Normal Form Invariants Around Spin-Orbit Periodic Orbits.- The Third Integral in a Self-Consistent Galactic Model.- Counterrotating Galaxies and Memory of Cosmological Initial Conditions.- The Family P12 of the Three-Body Problem — The Simplest Family of Periodic Orbits, with Twelve Symmetries Per Period.- The Caledonian Symmetrical Double Binary Four-Body Problem I: Surfaces of Zero-Velocity using the Energy Integral.- Application of the Nonrestricted Three-bodies Problem to the Stellar System ? UMA.- Periodic Solutions of the Planetary 5:2 Resonance Three-body Problem.- Limits of Stability for Planets in Double Star Systems Using the Fast Lyapunov Indicators.- On a Fokker-Planck Approach to Asteroidal Transport.- Fractality in a Galactic Model.- Transformation Methods fo Trigonometric Parallaxes.- The Search for Exosolar systems.- The Two FixedCenters Problem Revisited.- The Phase Space Structure of the General Sitnikov Problem.

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