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Stability of the Solar System and Its Minor Natural and Artificial Bodies

  • Book
  • © 1985

Overview

Editors:
  1. Victor G. Szebehely

    1. University of Texas, Austin, USA

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Part of the book series: Nato Science Series C: (ASIC, volume 154)

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Table of contents (61 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. Dynamics of Natural and Artificial Satellites

    1. Front Matter

      Pages 1-1
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    2. The Tiny Satellites of Jupiter and Saturn and their Interactions with the Rings

      • K. Aksnes
      Pages 3-16

    3. Motion of a Geo-Centric Synchronous Satellite

      • K. B. Bhatnagar, Monica Mehra
      Pages 17-32

    4. On the Brown Conjecture

      • Boris Garfinkel
      Pages 33-37

    5. On the Evolution of the Lunar Orbit

      • Kovalevsky Jean
      Pages 39-51

    6. The Three-Body Problem with Two Small Masses: A Singular-Perturbation Approach to the Problem of Saturn’s Coorbiting Satellites

      • Franz Spirig, Jörg Waldvogel
      Pages 53-63

    7. Stability and Origin of the Minor Bodies of the Solar System

      • R. O. Vicente
      Pages 65-79

  3. Theory and Application of Stability, Bifurcation and Escape

    1. Front Matter

      Pages 81-81
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    2. Existence and Stability of Circular Orbits in Axially-Symmetric Gravitational Fields

      • Leon Blitzer
      Pages 83-95

    3. Bifurcations and Stability in Three-Dimensional Systems

      • G. Contopoulos
      Pages 97-113

    4. Three-Body Problem Some Applications of the Tests of Escape

      • C. Marchal
      Pages 115-138

    5. Methods of Stability Analysis in the Solar System

      • Andrea Milani, Anna M. Nobili
      Pages 139-150

    6. Studies in the Stability of Hierarchical Dynamical Systems

      • Archie E. Roy, Ian W. Walker, Alastair J. C. McDonald
      Pages 151-174

    7. Stability in Celestial Mechanics

      • Szebehely Victor
      Pages 175-180

  4. Resonance and Singularities

    1. Front Matter

      Pages 181-181
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    2. Resonance Sweeping in the Solar System

      • J. Henrard
      Pages 183-192

    3. Some Results of Resonance and Periodic Motions

      • P. J. Message
      Pages 193-199

    4. Sur Une Equation de Hill Singuliere

      • F. Nahon
      Pages 201-210

  5. Hamiltonian Mechanics and Kam Theory

    1. Front Matter

      Pages 211-211
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Keywords

About this book

It is this editor's distinct pleasure to offer to the readership the text of the lectures presented at our recent NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1984. The invited lectures are printed in their entirety while the seminar contributions are presented as abstracts. Our Advanced Study Institutes were originated in 1972 and the reader, familiar with periodic phenomena, so important in Celestial Mechanics, will easily establish the fact that this Institute was our fifth one in the series. We dedicated the Institute to the subject of stability which itself is a humbling experience since it encompasses all fields of sciences and it is a basic element of human culture. The many definitions in existence and their practical applications could easily fill another volume. It is known in this field that it is easy to deliver lectures or write papers on stability as long as the definition of stability is carefully avoided. On the other hand, if one selects a definition, he might be criticized for using that definition and not another one. In this volume we carefully defined the specific concept of stability used in every lecture. If the reader wishes to introduce other definitions we feel that he should be entirely free and we encourage him to do so. It is also known that certain sta­ bility definitions and concepts are more applicable to certain given fields than to others.

Editors and Affiliations

  • University of Texas, Austin, USA

    Victor G. Szebehely

Bibliographic Information

  • Book Title: Stability of the Solar System and Its Minor Natural and Artificial Bodies

  • Editors: Victor G. Szebehely

  • Series Title: Nato Science Series C:

  • DOI: https://doi.org/10.1007/978-94-009-5398-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1985

  • Hardcover ISBN: 978-90-277-2046-7Published: 30 June 1985

  • Softcover ISBN: 978-94-010-8883-1Published: 13 October 2011

  • eBook ISBN: 978-94-009-5398-7Published: 06 December 2012

  • Series ISSN: 1389-2185

  • Edition Number: 1

  • Number of Pages: XXIV, 424

  • Topics: Astronomy, Observations and Techniques

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