Stability of the Solar System and Its Minor Natural and Artificial Bodies
Kluwer Academic Publishers (Verlag)
978-90-277-2046-7 (ISBN)
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.
Erscheint lt. Verlag | 30.6.1985 |
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Reihe/Serie | NATO Science Series C ; 154 |
Zusatzinfo | XXIV, 424 p. |
Verlagsort | Dordrecht |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik |
Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
ISBN-10 | 90-277-2046-0 / 9027720460 |
ISBN-13 | 978-90-277-2046-7 / 9789027720467 |
Zustand | Neuware |
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