Stability of the Solar System and Its Minor Natural and Artificial Bodies

Table of Contents

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   Book Overview
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   Chapter 1 The Tiny Satellites of Jupiter and Saturn and their Interactions with the Rings
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   Chapter 2 Motion of a Geo-Centric Synchronous Satellite
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   Chapter 3 On the Brown Conjecture
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   Chapter 4 On the Evolution of the Lunar Orbit
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   Chapter 5 The Three-Body Problem with Two Small Masses: A Singular-Perturbation Approach to the Problem of Saturn’s Coorbiting Satellites
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   Chapter 6 Stability and Origin of the Minor Bodies of the Solar System
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   Chapter 7 Existence and Stability of Circular Orbits in Axially-Symmetric Gravitational Fields
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   Chapter 8 Bifurcations and Stability in Three-Dimensional Systems
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    Chapter 9 Three-Body Problem Some Applications of the Tests of Escape
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    Chapter 10 Methods of Stability Analysis in the Solar System
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    Chapter 11 Studies in the Stability of Hierarchical Dynamical Systems
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    Chapter 12 Stability in Celestial Mechanics
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    Chapter 13 Resonance Sweeping in the Solar System
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    Chapter 14 Some Results of Resonance and Periodic Motions
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    Chapter 15 Sur Une Equation de Hill Singuliere
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    Chapter 16 Hamiltonian Perturbations in Dynamical Systems and Applications in Planetary Systems
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    Chapter 17 Recent Extensions of Hamilton’s Law of Varying Action with Applications — The Integral Variation Method
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    Chapter 18 Recent Extensions of Hamilton’s Law of Varying Action — Mathematical Insights
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    Chapter 19 KAM Theory and Dynamical Astronomy
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    Chapter 20 Stability of Hamiltonian Systems of Two Degrees of Freedom and of Formally Conservative Mappings Near a Singular Point
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    Chapter 21 The Lyapunov Characteristic Exponents and Applications to the Dimension of the Invariant Manifolds and Chaotic Attractors
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    Chapter 22 Dynamics of Multi-Parameter Systems with Interacting Oscillations
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    Chapter 23 Homoclinic Phenomena and Quasi-Integrability
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    Chapter 24 Geodesic Flows
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    Chapter 25 Extragalactic Celestial Mechanics: An Introduction
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    Chapter 26 Motions in the Magnetic Field of Two Revolving Dipoles
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    Chapter 27 Types of Motion in the Oblate Planet Problem
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    Chapter 28 Future Orbital Evolution of Satellite Phobos
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    Chapter 29 Precession Dynamics in Spin-Orbit Coupling: A Unified Theory
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    Chapter 30 A Singularity Analysis of Dynamical Systems with Applications to Astronomy
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    Chapter 31 Resonant Periodic Orbits in a Rotating Galaxy
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    Chapter 32 Earth Deformations from Lageos Orbit
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    Chapter 33 The Puzzle of Lageos’ Semimajor Axis Decay
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    Chapter 34 On the Hill Variables and the Radial Intermediaries in Artificial Satellite Theory
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    Chapter 35 Applications of the Method of Averaging to Predict Dual-Spin Spacecraft Attitude Motion
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    Chapter 36 Orbit Determination: Preliminary Orbits
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    Chapter 37 Quasiresonant Canonical Forms for Hamiltonian Systems
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    Chapter 38 On the Equilibrium Solutions in the Circular Planar Restricted Problem of Three Rigid Bodies
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    Chapter 39 Linearization in Special Cases of the Perturbed Two-Body Problem
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    Chapter 40 Generalized Elliptic Anomalies
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    Chapter 41 Invariant Manifolds and Homoclinic Opbits for L 3 in the R.T.R.P.
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    Chapter 42 Models for the Splitting of Separatrices
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    Chapter 43 Kolmogorov Entropy as a Measure of Disorder in Some Non-Integrable Hamiltonian Systems
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    Chapter 44 Orbital Reversal of Particle Streams in Resonance with Jupiter
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    Chapter 45 Approximate Solutions to the Restricted Problem of Three Bodies for Small Mass Parameter
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    Chapter 46 A Perturbation Technique Based on the Integral Variation Method
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    Chapter 47 Regularization of the Triple Collision Manifold in the Planar Three-Body Problem
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    Chapter 48 A Restricted Problem of Four Bodies
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    Chapter 49 Escape of a Subsystem in a N-Body Problem. Application to the Three Body Problem
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    Chapter 50 The Orbits of Titan, Hyperion and Iapetus
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    Chapter 51 Motion about the Stable Libration Points in the Linearized, Restricted Three-Body Problem
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    Chapter 52 Stability in the Restricted Three Body Problem with Drag
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    Chapter 53 Structure of the 3:1 Jovian Resonance
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    Chapter 54 The Restricted Elliptic Three-Body Problem for the Mass Parameter Equal to Zero
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    Chapter 55 Final Tidal Evolution of Orbit-Orbit Resonances
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    Chapter 56 Two Applications of Joukowsky’s Formula in the Inverse Problem of Dynamics
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    Chapter 57 A Canonical Approach to a Second-Order Solution for the Secular Motion of the Planets
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    Chapter 58 Translatory-Rotatory Motion of a Gyrostat in a Newtonian Force Field
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    Chapter 59 Analytical Expressions for Some Spatial Periodic Orbits of the Restricted Three-Body Problem and Their Invariant Manifolds
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    Chapter 60 On the Integrability and Non-Integrability in Boolean Dynamics
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    Chapter 61 Stability of Binary Asteroids