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Stability of the solar system and its minor natural and artificial bodies

Author: Victor G Szebehely; Richard B Curran; NATO Scientific Affairs Division.
Publisher: Dordrecht, Holland ; Boston : D. Reidel ; Hingham, MA : Kluwer Academic Publishers, ©1985.
Series: NATO ASI series., Series C, Mathematical and physical sciences ;, 154.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:

Proceedings of the NATO Advanced Study Institute, Cortina d'Ampezzo, Italy, August 6-18, 1984

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Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Victor G Szebehely; Richard B Curran; NATO Scientific Affairs Division.
ISBN: 9027720460 9789027720467
OCLC Number: 802823954
Notes: "Published in cooperation with NATO Scientific Affairs Division."
Description: XXIII, 424 p. : il. ; 25 cm
Contents: I: Dynamics of Natural and Artificial Satellites.- The Tiny Satellites of Jupiter and Saturn and Their Interactions with the Rings.- Motion of a Geo-Centric Synchronous Satellite.- On the Brown Conjecture.- On the Evolution of the Lunar Orbit.- The Three-Body Problem With Two Small Masses: A Singular-Perturbation Approach to the Problem of Saturn's Coorbiting Satellites.- Stability and Origin of the Minor Bodies of the Solar System.- II: Theory and Application of Stability, Bifurcation and Escape.- Existence and Stability of Circular Orbits in Axially-Symmetric Gravitational Fields.- Bifurcations and Stability in Three-Dimensional Systems.- Three-Body Problem: Some Applications of the Tests of Escape.- Methods of Stability Analysis in the Solar System.- Studies in the Stability of Hierarchical Dynamical Systems.- Stability in Celestial Mechanics.- III: Resonance and Singularities.- Resonance Sweeping in the Solar System.- Some Results of Resonance and Periodic Motions.- Sur une Equation de Hill Singuliere.- IV: Hamiltonian Mechanics and Kam Theory.- Hamiltonian Perturbations in Dynamical Systems and Applications in Planetary Systems.- Recent Extensions of Hamilton's Law of Varying Action with Applications - the Integral Variation Method.- Recent Extensions of Hamilton's Law of Varying Action - Mathematical Insights.- KAM Theory and Dynamical Astronomy.- Stability of Hamiltonian Systems of Two Degrees of Freedom and of Formally Conservative Mappings Near a Singular Point.- V: Chaotic Systems and Integrability.- The Lyapunov Characteristic Exponents and Applications to the Dimension of the Invariant Manifolds and Chaotic Attractors.- Dynamics of Multi-Parameter Syst ems with Interacting Oscillations.- Homoclinic Phenomena and Quasi-Integrability.- VI. Geodesic Flows, Charged Particles and Extragalactic Celestial Mechanics.- Geodesic Flows.- Extragalactic Celestial Mechanics: An Introduction.- Motions in the Magnetic Field of Two Revolving Dipoles.- VII: Abstracts of Seminar Contributions.- Types of Motion in the Oblate Planet Problem.- Future Orbital Evolution of Satellite Phobos.- Precession Dynamics in Spin-Orbit Coupling: A Unified Theory.- A Singularity Analysis of Dynamical Systems With Applications to Astronomy.- Resonant Periodic Orbits in a Rotating Galaxy.- Earth Deformations from Lageos Orbit.- The Puzzle of Lageos Semimajor Axis Decay.- On the Hill Variables and the Radial Intermediaries in Artificial Satellite Theory.- Applications of the Method of Averaging to Predict Dual-Spin Spacecraft Attitude Motion.- Orbit Determination: Preliminary Orbits.- Quasiresonant Canonical Forms for Hamiltonian Systems.- On the Equilibrium Solutions in the Circular Planar Restricted Problem of Three Rigid Bodies.- Linearization in Special Cases of the Perturbed Two-Body Problem.- Generalized Elliptic Anomalies.- Invariant Manifolds and Homoclinic Orbits for L3 in the R.T.B.P..- Models for the Splitting of Separatrices.- Kolmogorov Entropy as a Measure of Disorder in Some Non-Integrable Hamiltonian Systems.- Orbital Reversal of Particle Streams in Resonance With Jupiter.- Approximate Solutions to the Restricted Problem of Three Bodies for Small Mass Parameter.- A Perturbation Technique Based on the Integral Variation Method.- Regularization of the Triple Collision Manifold in the Planar Three-Body Problem.- A Restricted Problem of Four Bodies.- Escape of a Subsystem in a N-Body Problem. Application to the Three Body Problem..- The Orbits of Titan, Hyperion and Iapetus.- Motion About the Stable Libration Points in the Linearized, Restricted Three-Body Problem.- Stability in the Restricted Three-Body Problem With Drag.- Structure of the 3:1 Jovian Resonance.- The Restricted Elliptic Three-Body Problem for the Mass Parameter Equal to Zero.- Final Tidal Evolution of Orbit-Orbit Resonances.- Two Applications of Joukowsky's Formula in the Inverse Problem of Dynamics.- A Canonical Approach to a Second-Order Solution for the Secular Motion of the Planets.- Translatory-Rotatory Motion of a Gyrostat in a Newtonian Force Field.- Analytical Expressions for Some Spatial Periodic Orbits of the Restricted Three-Body Problem and Their Invariant Manifolds.- On the Integrability and Non-Integrability in Boolean Dynamics.- Stability of Binary Asteroids.- Index of Names.- Index of Subjects.
Series Title: NATO ASI series., Series C, Mathematical and physical sciences ;, 154.
Responsibility: edited by Victor G. Szebehely.

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