Name: The Few Body Problem
ISBN: 978-94-009-2917-3

Editors:

M. J. Valtonen⁰

M. J. Valtonen
1. Observatory and Astrophysics Laboratory, University of Helsinki, Finland
View editor publications

You can also search for this editor in PubMed Google Scholar

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

11k Accesses
71 Citations

Buy it now

eBook USD 169.00

Price excludes VAT (USA)

Softcover Book USD 219.99

Price excludes VAT (USA)

Hardcover Book USD 219.99

Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Learn about institutional subscriptions

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (64 papers)

Front Matter

Pages i-xvii

PDF
Introductory Remarks
1. Introductory Remarks
  
  Victor G. Szebehely
  
  Pages 1-2
General Theory
1. Front Matter
  
  Pages 3-3
  
  PDF
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
Solar System
1. Front Matter
  
  Pages 99-99
  
  PDF
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

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.

Keywords

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

Publish with us

Policies and ethics

Editors:

Sections

Buy it now

Buying options

Other ways to access

Table of contents (64 papers)

Front Matter

Introductory Remarks

General Theory

Front Matter

Solar System

Front Matter

About this book

Keywords

Editors and Affiliations

Observatory and Astrophysics Laboratory, University of Helsinki, Finland

Bibliographic Information

Publish with us

Buy it now

Buying options

Other ways to access

Search

Navigation