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

BuchGebunden
424 Seiten
Englisch
Springer Netherlandserschienen am30.06.1985
It is this editor's distinct pleasure to offer to the readership the text of the lectures presented at our recent NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1984.mehr
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EUR213,99
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Produkt

KlappentextIt is this editor's distinct pleasure to offer to the readership the text of the lectures presented at our recent NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1984.
Zusammenfassung
Details
ISBN/GTIN978-90-277-2046-7
ProduktartBuch
EinbandartGebunden
Erscheinungsjahr1985
Erscheinungsdatum30.06.1985
ReiheNato Science Series C:
Seiten424 Seiten
SpracheEnglisch
Gewicht836 g
IllustrationenXXIV, 424 p.
Artikel-Nr.10563396

Inhalt/Kritik

Inhaltsverzeichnis
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. GeodesicFlows, 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.mehr