Predictability, Stability, and Chaos in N-Body Dynamical Systems

Table of Contents

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   Book Overview
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   Chapter 1 Chaos in a Restricted Charged Four-Body Problem
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   Chapter 2 Chaos in the Three Body Problem
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   Chapter 3 A New Route to Chaos: Generation of Spiral Characteristics
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   Chapter 4 Chaos in the N-Body Problem of Stellar Dynamics
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   Chapter 5 Chaos, Stability and Predictability in Newtonian Dynamics
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   Chapter 6 Predictability, Stability and Chaos in Dynamical Systems
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   Chapter 7 Analytical Framework in Poincare Variables for the Motion of the Solar System
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   Chapter 8 Origin of Chaos and Orbital Behaviour in Slowly Rotating Triaxial Models
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    Chapter 9 Modelling: An Aim and a Tool for the Study of the Chaotic Behaviour of Asteroidal and Cometary Orbits
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    Chapter 10 Mapping Models for Hamiltonian Systems with Application to Resonant Asteroid Motion
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    Chapter 11 A Model for the Study of Very-High-Eccentricity Asteroidal Motion: The 3:1 Resonance
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    Chapter 12 The Location of Secular Resonances
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    Chapter 13 Temporary Capture into Resonance
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    Chapter 14 Applications of the Restricted Many-Body Problem to Binary Asteroids
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    Chapter 15 The Wavelet Transform as Clustering Tool for the Determination of Asteroid Families
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    Chapter 16 Delivery of Meteorites from the v 6 Secular Resonance Region Near 2 AU
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    Chapter 17 The Dynamics of Meteoroid Streams
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    Chapter 18 Perturbation Theory, Resonance, Librations, Chaos, and Halley’s Comet
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    Chapter 19 Rotational Behaviour of Comet Nuclei
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    Chapter 20 The Moon’s Physical Librations
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    Chapter 21 The Moon’s Physical Librations
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    Chapter 22 Significant High Number Commensurabilities in the Main Lunar Problem: A Postscript to a Discovery of the Ancient Chaldeans
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    Chapter 23 Moon’s Influence on the Transfer from the Earth to a Halo Orbit Around L 1
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    Chapter 24 First Order Theory of Perturbed Circular Motion: An Application to Artificial Satellites
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    Chapter 25 Poincaré-Similar Variables Including J 2 -Secular Effects
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    Chapter 26 Measuring the Lack of Integrability of the J 2 Problem for Earth’s Satellites
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    Chapter 27 The Effects of the J 3 -Harmonic (Pear Shape) on the Orbits of a Satellite
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    Chapter 28 Stability of Satellites in Spin-Orbit Resonances and Capture Probabilities
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    Chapter 29 Statistical Analysis of the Effects of Close Encounters of Particles in Planetary Rings
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    Chapter 30 The Three-Dipole Problem
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    Chapter 31 The N-Dipole Problem and the Rings of Saturn
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    Chapter 32 Long-Time Predictions of Satellite Orbits by Numerical Integration
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    Chapter 33 Chaos in Coorbital Motion
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    Chapter 34 Remarkable Termination Orbits of the Restricted Problem
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    Chapter 35 Periodic Orbits in the Isosceles Three-Body Problem
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    Chapter 36 Quasiperiodic Orbits as a Substitute of Libration Points in the Solar System
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    Chapter 37 Stability Zones Around the Triangular Lagrangian Points
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    Chapter 38 Chaotic Trajectories in the Restricted Problem of Three Bodies
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    Chapter 39 New Formulations of the Sitnikov Problem
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    Chapter 40 Periodic Solutions for the Elliptic Planar Restricted Three-Body Problem: A Variational Approach
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    Chapter 41 Hill-Type Stability and Hierarchical Stability of the General Three-Body Problem
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    Chapter 42 Equilibrium Connections on the Triple Collision Manifold
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    Chapter 43 Orbits Asymptotic to the Outermost KAM in the Restricted Three-Body Problem
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    Chapter 44 A New Interpretation of Collisions in the N-Body Problem
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    Chapter 45 An Impulsional Method to Estimate the Long-Term Behaviour of a Perturbed System: Application to a Case of Planetary Dynamics
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    Chapter 46 Improved Bettis Methods for Long-Term Prediction
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    Chapter 47 Application of Spherically Exact Algorithms to Numerical Predictability in Two-Body Problems
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    Chapter 48 Are there Irregular Families of Characteristic Curves?
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    Chapter 49 Non-Linearity in the Angles-Only Initial Orbit Determination Problem
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    Chapter 50 A Perturbation of the Relativistic Kepler Problem
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    Chapter 51 Integrable 3-Dimensional Dynamical Systems and the Painlevé Property
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    Chapter 52 Generic and Nongeneric Hopf Bifurcation
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    Chapter 53 The Chaotic Motion of a Rigid Body Rotating About a Fixed Point