Skip to main content
SpringerLink
Log in
Book cover

The Dynamics of Small Bodies in the Solar System pp 385–392Cite as

Dynamics and Stability of Three-Body Systems

  • Chapter

Part of the book series: NATO ASI Series ((ASIC,volume 522))

Abstract

We discuss the importance of the three-body problem in astrophysics, and present a summary of some new results which use a correspondence between the binary-tides problem and the three-body problem to derive a single formula for the stability of hierarchical triples.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aarseth, S.J. 1997 (in preparation)

    Google Scholar 

  2. Aarseth, S.J. & Zare, K. 1974, Celest. Mech. 10, 185

    Article  ADS  MATH  Google Scholar 

  3. Chapman, C. R. et al. 1995, Nature 374, 783

    Article  ADS  Google Scholar 

  4. Eggleton, P.P. & Kiseleva, L.G. 1995, Astrophys. J. 455, 640

    Article  ADS  Google Scholar 

  5. Kiseleva, L.G., Eggleton, P.P. & Anosova, J.P. 1994, MNRAS 267, 161

    ADS  Google Scholar 

  6. Mardling, R.A. 1995a, Astrophys. J. 450, 722

    Article  ADS  Google Scholar 

  7. Mardling, R.A. 1995b, Astrophys. J. 450, 732

    Article  ADS  Google Scholar 

  8. Mardling, R.A. & Aarseth, S.J. 1998 (in preparation)

    Google Scholar 

  9. Mikkola, S. & Aarseth, S.J. 1993, Celest. Mech. Dyn. Astron. 57, 439

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Monash University, Clayton, Victoria, Australia

    Rosemary Mardling

  2. Institute of Astronomy, Cambridge University, Madingley Road, Cambridge, UK

    Sverre Aarseth

Authors
  1. Rosemary Mardling
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sverre Aarseth
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics, Glasgow Caledonian University, Glasgow, UK

    Bonnie A. Steves

  2. Department of Physics and Astronomy, University of Glasgow, Glasgow, UK

    Archie E. Roy

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Mardling, R., Aarseth, S. (1999). Dynamics and Stability of Three-Body Systems. In: Steves, B.A., Roy, A.E. (eds) The Dynamics of Small Bodies in the Solar System. NATO ASI Series, vol 522. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9221-5_38

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-9221-5_38

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5133-2

  • Online ISBN: 978-94-015-9221-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation