Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems / edited by Archie E. Roy.
The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 3 and August 13, 1987 under the title "Long Term Dynamical Behaviour of Natural and Artificial N-body Systems". The Institute was the latest in a se...
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| Other title: | Proceedings of the NATO Advanced Study Institute, Cortina d'Ampezzo, Italy, August 2-13, 1987. |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands,
1988.
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| Series: | NATO ASI series. Mathematical and physical sciences ;
246. |
| Subjects: |
Table of Contents:
- I: Planetary Dynamics
- Dynamical Evolution of Planetary Systems and the Significance of Bode's Law
- Further Numerical Investigations into the Significance of Bode's Law
- Where are the Saturnian Trojans?
- Orbital Evolution
- Planetary Perturbation Theory from Lie Series, including Resonance and Critical Arguments
- Secular Perturbations of Planetary Orbits and their Representation as Series
- The Accumulation of Integration Error
- Numerical Regularization of the Lagrange Planetary Equations
- II: Dynamics of Natural and Artificial Satellites
- General Formulas for Three-Body Resonances
- Analytical Methods for the Radial Intermediaries
- Analytical Theory of the Rotation of an Artificial Satellite
- Some Models for the Motion of the Co-orbital Satellites of Saturn
- Long-period Changes in the Semimajor Axis of Lageos
- Effects of a Non-circular Shepherd upon a Planetary Ring
- General Motion of a Triaxial Rigid Body in a Newtonian Force Field
- The Motion of the Orbit Plane of Iapetus
- Astrodynamics in the Real-World Environment (The Whole Truth and Nothing but the Truth)
- A Finite-Time Stability Criterion for Sun-perturbed Planetary Satellites
- A New Radial Intermediary and its Numerical Integration
- Co-orbital Satellites and Hill's Lunar Problem
- III: Dynamics of Asteroids
- The Puzzle of Asteroid Families
- High Eccentricity Libration
- Evolution of Asteroidal Orbits Located in the Main Secular Resonances?5,?6 and?16
- Algebraic Mappings Near a Resonance with an Application to Asteroid Motion
- The Hierarchical Restricted Problem with Applications
- The Motions of Asteroids in the Secular Resonance?6: an Analytical Model and Numerical Calculations
- IV: Dynamics of Stars and Galaxies
- Families of Periodic Orbits in a Model of Interacting Galaxies
- Qualitative Characteristics of Dynamical Systems
- On the Galactic Motion
- The N-Body Problem in Stellar Dynamics
- Rotationally and Tidally Perturbed Orbital Elements of Close Binary Stars
- V: Other Specific Topics in Dynamics
- Escape and Capture in the Restricted Three Body Problem (RTBP)
- A Formulation of the N-body Problem where the Velocities are Bounded
- A Report on Some New KAM Estimates
- Extended Canonical Transformations Increasing the Number of Variables
- Non Local Spiraling Characteristic Curves
- Connectance and Stability of Linear Differential Systems
- Resonances in the Planar Elliptic Restricted Problem
- The Near-Resonance Theorem: Analysis of the Vicinity of Periodic Solutions of Analytic Differential Systems
- Homoclinic and Heteroclinic Solutions of the RTBP Joining the Triangular Equilibrium Points
- Double Collision Orbits and Second Species Solutions in the Restricted Three-Body Problem
- Bifurcations and Instabilities in the Restricted Three-Body Problem
- Three Dimensional Equations of Szebehely of the Inverse Problem and Frenet Reference Frame
- Fourier Transform in Astrodynamics
- Estimates of the Error in Normal Forms of Hamiltonian Systems. Applications to Effective Stability and Examples
- Passages Near Triple Collision
- Non-Integrability of Hamiltonian Systems Based on Ziglin's Theorem
- Index of Names
- Index of Subjects.