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## Details

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
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