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The Few Body Problem

Proceedings of the 96th Colloquium of the International Astronomical Union Held in Turku, Finland, June 14–19, 1987

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. M. J. Valtonen

    1. Observatory and Astrophysics Laboratory, University of Helsinki, Finland

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Part of the book series: Astrophysics and Space Science Library (ASSL, volume 140)

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Table of contents (64 papers)

  1. Front Matter

    Pages i-xvii
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  2. Introductory Remarks

    1. Introductory Remarks

      • Victor G. Szebehely
      Pages 1-2

  3. General Theory

    1. Front Matter

      Pages 3-3
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    2. Qualitative Analysis in the Few Body Problem

      • C. Marchal
      Pages 5-25

    3. A Classification of Motion Types in the General Three-Body Problem

      • Joanna P. Anosova
      Pages 27-30

    4. Periodic Orbits and Stability

      • John D. Hadjidemetriou
      Pages 31-48

    5. The Effect of Perturbing Potentials on Hill’s Stable Range in Restricted Three-Body Problem

      • Caixia Ni, Xuetang Zheng
      Pages 49-53

    6. Fractal dimensions and integrability of Hamiltonian systems: a discretization method

      • R. Gonczi
      Pages 55-59

    7. Non-Integrability of Three Body Problems with Homogeneous Potential

      • Haruo Yoshida
      Pages 61-64

    8. On the Existence of Some Configurations of Relative Equilibrium in the N-Body Problem

      • B. Elmabsout
      Pages 65-68

    9. Rotational Motion of a Rigid Body in an Orbit of the Three Body Problem

      • Andrzej J. Maciejewski
      Pages 69-72

    10. Possibility of Exchange of a Rectilinear Three-Body System with Zero Energy

      • Eiji Koda
      Pages 73-76

    11. Escape in the Three-Body Problem with Two Degrees of Freedom — Rectilinear Case and Isosceles Case —

      • Junzo Yoshida
      Pages 77-80

    12. On a Restricted Five-Body Problem

      • Alexander Ollongren
      Pages 81-84

    13. A Perturbative Method for Problems with Two Critical Arguments

      • Jacques Henrard
      Pages 85-85

    14. Generalized Hamilton’s Principle and its Application

      • Lihong Cao, Fu Tong
      Pages 87-90

    15. Round Table Discussion on Chaotic Motions

      • C. Marchal
      Pages 91-97

  4. Solar System

    1. Front Matter

      Pages 99-99
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    2. Asteroid Families

      • Cl. Froeschle, P. Farinella, M. Carpino, Ch. Froeschle, R. Gonczi, P. Paolicchi et al.
      Pages 101-116

    3. On the Origin of 5/2 Kirkwood Gap

      • M. Šidlichovský
      Pages 117-121
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Keywords

About this book

th Coinciding with the 300 anniversary of the publication of Newton's Principia The International Astronomical Union organized the colloquium No. 96 "The Few Body Problem" in Turku, Finland, June 14.-19.1987. It provided an opportunity to review the progress in the very field which caused Newton a headache, as Victor Szebehely reminded the audience in his introductory remarks. It is a measure of the difficulty and complication of the few body problem that even after 300 years so many aspects of the problem are still unsolved. To quote Szebehely again, "Sir Isaac established the rules, Poincare presented the challenges". Many of these challenges are reviewed in the present proceedings. The gravitational few body problem cuts across the borders of established disciplines. The participants of the colloquium came from departments as different as Aerospace Engineering, Astronomy, Theoretical Physics, Physics, Mathematics, Applied Mathematics, Computer Science, Planetology, Geodesy, Celestial Mechanics and Space Science. The few body problem is a problem of practical significance in many fields and the main aim of the colloquium was to bring together people with research interests in this area, many of whom normally attend different conferences.

Editors and Affiliations

  • Observatory and Astrophysics Laboratory, University of Helsinki, Finland

    M. J. Valtonen

Bibliographic Information

  • Book Title: The Few Body Problem

  • Book Subtitle: Proceedings of the 96th Colloquium of the International Astronomical Union Held in Turku, Finland, June 14–19, 1987

  • Editors: M. J. Valtonen

  • Series Title: Astrophysics and Space Science Library

  • DOI: https://doi.org/10.1007/978-94-009-2917-3

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1988

  • Hardcover ISBN: 978-90-277-2680-3Published: 31 March 1988

  • Softcover ISBN: 978-94-010-7813-9Published: 21 December 2011

  • eBook ISBN: 978-94-009-2917-3Published: 06 December 2012

  • Series ISSN: 0067-0057

  • Series E-ISSN: 2214-7985

  • Edition Number: 1

  • Number of Pages: XVII, 432

  • Topics: Astronomy, Observations and Techniques

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