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The Stability of Planetary Systems

Proceedings of the Alexander von Humboldt Colloquium on Celestial Mechanics, held at Ramsau, Styria, March 25–31, 1984

  • Conference proceedings
  • © 1984

Overview

Editors:
  1. R. L. Duncombe

    1. Department of Aerospace Engineering, University of Texas, Austin, USA

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  2. R. Dvorak

    1. Institut für Astronomie, Universität Wien, Wien, Österreich

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  3. P. J. Message

    1. Department of Applied Mathematics and Theoretical Physics, Liverpool University, England

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Table of contents (39 papers)

  1. Front Matter

    Pages i-4
    Download chapter PDF

  2. Preface

    1. Preface

      • R. L. D., R. D., P. J. M.
      Pages 5-6

  4. Astrometric Problems

    1. Inertial Systems — Definitions and Realizations

      • Heinrich Eichhorn
      Pages 11-18

    2. Minor Planet Observations and the Fundamental Reference System

      • Raynor L. Duncombe, Paul D. Hemenway, Arthur L. Whipple
      Pages 19-36

    3. The Empirical Inertial System Determined in FK5 by the Dynamics of the Planetary System

      • Walter Fricke
      Pages 37-37

    4. Observations of Minor Planets with the Very Large Array

      • P. K. Seidelmann, G. H. Kaplan, K. J. Johnston, C. M. Wade
      Pages 39-48

  5. Qualitative Methods

    1. Review of Concepts of Stability

      • Victor Szebehely
      Pages 49-64

    2. Three-Body Problem

      • Christian Marchal, Junzo Yoshida, Sun Yi-Sui
      Pages 65-93

    3. The Lyapunov Characteristic Exponents — Applications to Celestial Mechanics

      • Cl. Froeschlé
      Pages 95-115

    4. Kolmogorov Entropy as a Measure of Disorder in Some Non-Integrable Hamiltonian Systems

      • R. Gonczi, Ch. Froeschlé, Cl. Froeschlé
      Pages 117-124

    5. Generalizations of the Jacobian Integral

      • Victor Szebehely, Arthur L. Whipple
      Pages 125-133

    6. Application of Lie-Series to Regularized Problems in Celestial Mechanics

      • A. Hanslmeier
      Pages 135-143

    7. Integration of the Elliptic Restricted Three-Body Problem with Lie Series

      • Magda Delva
      Pages 145-154

  6. Planetary Motions

    1. The Stability of Our Solar System

      • P. J. Message
      Pages 155-163

    2. Approximation Methods in Celestial Mechanics. Application to Pluto’s Motion

      • J. Chapront
      Pages 165-184

    3. Termes Seculaires Dans la Theorie des Perturbations

      • Takeshi Inoue
      Pages 185-191

    4. Amelioration des Theories Planetaires Analytiques

      • P. Bretagnon
      Pages 193-201

    5. Motions of the Perihelions of Neptune and Pluto

      • Hiroshi Kinoshita, Hiroshi Nakai
      Pages 203-217

    6. Progress in General Planetary Theory

      • J. Laskar
      Pages 219-221
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Keywords

About this book

The Alexander von Humboldt Colloquium on Celestial Mechanics (sub­ titled "The Stability of Planetary Systems") was held in Ramsau, Styria, in the Austrian Alps, from March the 25th to the 31st, 1984. The dedication of the meeting to Alexander von Humboldt presented partici­ pants with the challenge that the discussions during the week should reflect the spirit of that great scientist of the last century, that the very many interesting ideas presented and developed during the sessions should be interpreted in the light of a broad v~ew of astron­ omy and astrophysics. The topics of the meeting ranged from astrometric questions relating to the specification of inertial reference systems, motion of planets (including minor planets) and satellites, with the recurring topic of the search for criteria of stability of the systems, resonances, periodic orbits, and to the origin of the systems. Each session began with one or more invited review papers, followed by offered contributions and discussion. Three evening discussions were held, devoted respectively to inertial systems, to numerical integration techniques, and to cosmogonic problems and ring systems. On the evening of Wednesday, March 28th, a recital of chamber mus~c was given by Bernhard Piberauer, on the violin, and Meinhard Prinz, on the piano.

Editors and Affiliations

  • Department of Aerospace Engineering, University of Texas, Austin, USA

    R. L. Duncombe

  • Institut für Astronomie, Universität Wien, Wien, Österreich

    R. Dvorak

  • Department of Applied Mathematics and Theoretical Physics, Liverpool University, England

    P. J. Message

Bibliographic Information

  • Book Title: The Stability of Planetary Systems

  • Book Subtitle: Proceedings of the Alexander von Humboldt Colloquium on Celestial Mechanics, held at Ramsau, Styria, March 25–31, 1984

  • Editors: R. L. Duncombe, R. Dvorak, P. J. Message

  • DOI: https://doi.org/10.1007/978-94-009-5331-4

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1984

  • Hardcover ISBN: 978-90-277-1961-4Due: 31 March 1985

  • Softcover ISBN: 978-94-010-8854-1Published: 22 October 2011

  • eBook ISBN: 978-94-009-5331-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: 476

  • Topics: Astronomy, Observations and Techniques

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