UID:
almahu_9949199193102882
Format:
XIV, 470 p.
,
online resource.
Edition:
1st ed. 1973.
ISBN:
9789401026116
Series Statement:
Astrophysics and Space Science Library, 39
Content:
IX LIST OF PRINCIPAL SPEAKERS XI LIST OF PARTICIPANTS 1. REGULARIZATION E. STIEFEL / A Linear Theory of the Perturbed Two-Body Problem (Regul- ization) 3 J. WALDVOGEL / Collision Singularities in Gravitational Problems 21 D. C. HEGGIE / Regularization Using a Time-Transformation Only 34 J. BAUMGAR TE / Stabilization of the Differential Equations of Keplerian Motion 38 F. NAHON / The Particular Solutions of Levi-Civita 45 O. GODAR T / Example ofIntegration of Strongly Oscillating Systems 53 w. BLACK / The Application of Recurrence Relations to Special Perturbation Methods 61 D. G. BETTIS / Numerical Solution of Ordinary Differential Equations (Abstract) 71 II. THE THREE-BODY PROBLEM V. SZEBEHELY / Recent Advances in the Problem of Three Bodies 75 R. F. ARENSTORF / Periodic Elliptic Motion in the Problem of Three Bodies (Abstract) 107 G. KATSIARIS and c. L. GOUDAS / On a Conjecture by Poincare 109 G. KATSIARIS / The Three-Dimensional Elliptic Problem 118 P. G. KAZANTZIS / Second and Third Order Variations of the Three Dimensional Restricted Problem 135 c. G. ZAGOURAS / Planar Periodic Orbits Using Second and Third Variations 146 E. RABE / Elliptic Restricted Problem: Fourth-Order Stability Analysis of the Triangular Points 156 P. GUILLAUME / A Linear Description of the Second Species Solutions 161 III. THE N-BODY PROBLEM AND STELLAR DYNAMICS G. CONTOPOULOS / Problems of Stellar Dynamics 177 w. T. KYNER / Invariant Manifolds in Celestial Mechanics 192 s. J.
Note:
I. Regularization -- A Linear Theory of the Perturbed Two-Body Problem (Regularization) -- Collision Singularities in Gravitational Problems -- Regularization Using a Time-Transformation Only -- Stabilization of the Differential Equations of Keplerian Motion -- The Particular Solutions of Levi-Civita -- Example of Integration of Strongly Oscillating Systems -- The Application of Recurrence Relations to Special Perturbation Methods -- Numerical Solution of Ordinary Differential Equations (Abstract) -- II. The Three-Body Problem -- Recent Advances in the Problem of Three Bodies -- Periodic Elliptic Motion in the Problem of Three Bodies (Abstract) -- On a Conjecture by Poincaré -- The Three-Dimensional Elliptic Problem -- Second and Third Order Variations of the Three Dimensional Restricted Problem -- Planar Periodic Orbits Using Second and Third Variations -- Elliptic Restricted Problem: Fourth-Order Stability Analysis of the Triangular Points -- A Linear Description of the Second Species Solutions -- III. The N-Body Problem and Stellar Dynamics -- Problems of Stellar Dynamics -- Invariant Manifolds in Celestial Mechanics -- Theoretical Aspects of N-Body Computer Simulations -- Integration Methods of the N-Body Problem (Abstract) -- Numerical Studies of the Gravitational Problem of N-Bodies (Abstract) -- Star Encounter Simulations -- Yukawa Potential and Stellar Encounter -- An Investigation of the Rôle of Turbulence in the Formation of Star Clusters by a Point-Mass Simulation -- IV. The Theory of General Perturbations -- Theory of General Perturbations -- The Algorithm of the Inverse for Lie Transform -- The Property of Covariance in Hori's Non-Canonical Perturbation Theory (Abstract) -- Subdynamics in Classical Mechanics -- V. The Solar System and Orbital Resonances -- Astronomical Systems of Units, Co-ordinates and Time-Scales -- Masses of the Planets and Satellites (Abstract) -- Planetary Ephemerides -- Orbits of the Natural Satellites. Lectures on Some Types of Orbital Motion Amongst Them -- On the Origin of the Titan-Hyperion System -- Planetary Distances and the Missing Planet -- Change of Inclination in Passing Through Resonance -- VI. Trajectory Determination and the Motion of Rigid Bodies -- Review of Non-Numerical Uses of Computers -- Elementary Dynamical Astronomy -- Statistical Orbit Determination Theory -- Orbit Determination by Solving a Boundary Value Problem -- Long-Term Motion in a Restricted Problem of Rotational Motion -- Uniform Theory of a Rotating Rigid Body with Dynamical Symmetry -- Attitude Stability of a Satellite in the Restricted Three-Body Problem -- Analytic Treatment of Straight-Line Flights into the Sun after Planetary Fly-By.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9789401026130
Additional Edition:
Printed edition: ISBN 9789027703484
Additional Edition:
Printed edition: ISBN 9789401026123
Language:
English
DOI:
10.1007/978-94-010-2611-6
URL:
https://doi.org/10.1007/978-94-010-2611-6
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