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Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems

Author: A E Roy
Publisher: Dordrecht : Springer Netherlands, 1988.
Series: NATO ASI series., Series C,, Mathematical and physical sciences ;, 246.
Edition/Format:   eBook : Bibliographic data : English
Summary:
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 series held in 1972, 1975, 1978, 1981, 1984 in dynamical astronomy, theoretical mechanics and celestial mechanics under the Directorship  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Bibliographic data, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A E Roy
ISBN: 9789400930537 9400930534 9789401078733 9401078734
OCLC Number: 840305131
Description: 1 online resource (548 pages).
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.
Series Title: NATO ASI series., Series C,, Mathematical and physical sciences ;, 246.
Other Titles: Proceedings of the NATO Advanced Study Institute, Cortina d'Ampezzo, Italy, August 2-13, 1987
Responsibility: edited by Archie E. Roy.

Abstract:

Proceedings of the NATO Advanced Study Institute, Cortina d'Ampezzo, Italy, August 2-13, 1987  Read more...

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