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

  • B. D. Tapley
  • V. Szebehely

Part of the Astrophysics and Space Science Library book series (ASSL, volume 39)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Regularization

  3. The Three-Body Problem

  4. The N-Body Problem and Stellar Dynamics

    1. Front Matter
      Pages 175-175

About these proceedings

Introduction

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.

Keywords

Celestial mechanics Variation astronomy gravitation gravity planet solar system star sun turbulence two-body problem

Editors and affiliations

  • B. D. Tapley
    • 1
  • V. Szebehely
    • 1
  1. 1.Department of Aerospace Engineering and Engineering MechanicsUniversity of Texas at AustinAustinUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-2611-6
  • Copyright Information Springer Science+Business Media B.V. 1973
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-2613-0
  • Online ISBN 978-94-010-2611-6
  • Series Print ISSN 0067-0057
  • About this book