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Recent Advances in Dynamical Astronomy : Proceedings of the NATO Advanced Study Institute in Dynamical Astronomy Held in Cortina D'Ampezzo, Italy, August 9-21, 1972 / edited by B.D. Tapley, V. Szebehely.

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...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Tapley, Byron D.
Other Authors: Szebehely, V.
Other title:Proceedings of the NATO Advanced Study Institute in Dynamical Astronomy, held in Cortina d'Ampezzo, 9-21 August 1972.
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands, 1973.
Series:Astrophysics and space science library ; 39.
Subjects:
Celestial mechanics > Congresses.
Celestial mechanics.
Conference papers and proceedings.
Table of Contents:
  • 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.

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