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

  • Victor G. Szebehely

Part of the NATO ASI Series book series (ASIC, volume 154)

Table of contents

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

  3. Theory and Application of Stability, Bifurcation and Escape

    1. Front Matter
      Pages 81-81
    2. Andrea Milani, Anna M. Nobili
      Pages 139-150
    3. Archie E. Roy, Ian W. Walker, Alastair J. C. McDonald
      Pages 151-174
    4. Szebehely Victor
      Pages 175-180
  4. Resonance and Singularities

    1. Front Matter
      Pages 181-181
    2. J. Henrard
      Pages 183-192
    3. F. Nahon
      Pages 201-210
  5. Hamiltonian Mechanics and Kam Theory

  6. Chaotic Systems and Integrability

  7. Geodesic Flows, Charged Particles and Extragalactic Celestial Mechanics

    1. Front Matter
      Pages 317-317
    2. H. Dikmen
      Pages 319-331
    3. D. Galletto, B. Barberis
      Pages 333-347
    4. C. L. Goudas, E. G. Petsagourakis
      Pages 349-364
  8. Abstracts of Seminar Contributions

    1. Front Matter
      Pages 365-365
    2. J. Martinez Alfaro
      Pages 367-367
    3. N. Caranicolas
      Pages 371-371
    4. M. Carpino, P. Farinella, A. Milani, A. M. Nobili
      Pages 372-373
    5. M. Carpino, P. Farinella, A. Milani, A. M. Nobili
      Pages 374-375
    6. R. Cid, S. Ferrer, M. L. Sein-Echaluce
      Pages 376-376
    7. J. Ferrandiz, S. Ferrer, M. Sein-Echaluce
      Pages 382-382
    8. E. Fontich
      Pages 384-385

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.


Anomalie Celestial mechanics artificial satellite astronomy deformation dynamics earth galaxies gravitation mechanics oscillation planet solar system stability two-body problem

Editors and affiliations

  • Victor G. Szebehely
    • 1
  1. 1.University of TexasAustinUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1985
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-8883-1
  • Online ISBN 978-94-009-5398-7
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site
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