Skip to main content
SpringerLink
Log in
SpringerLink
Log in

Triple collision in Newtonian gravitational systems

  • III. Nonlinear Differential Equations
  • Chapter
  • First Online:
Dynamical Systems, Theory and Applications

Part of the book series: Lecture Notes in Physics ((LNP,volume 38))

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Easton, R., Regularization of vector fields by surgery, J. Differential Equations 10 (1971) 92–99.

    Google Scholar 

  2. Easton, R., The Topology of the regularization integral surfaces of the 3-body problem, J. Diff. Eqs. 12 (1972) 361–384.

    Google Scholar 

  3. Mather, J., and McGehee, R., Orbits for the collinear four-body problem which become unbounded in finite time, in this work.

    Google Scholar 

  4. McGehee, R., Triple Collision in the collinear three-body problem, Invent. Math., 27, (1974) 191–227.

    Google Scholar 

  5. Painlevé, P., Lecons sur la théorie analytique des équations differentielles, (Stockholm, 1895), A. Hermann, Paris (1897).

    Google Scholar 

  6. Palmore, J., Classifying relative equilibria I, Bull. Amer. Math. Soc. 79, 5 (1973) 904–908.

    Google Scholar 

  7. Palmore, J., Classifying relative equilibria II, preprint.

    Google Scholar 

  8. Siegel, C., Der Dreierstoss, Ann. Math. 42 (1941) 127–168.

    Google Scholar 

  9. Siegel, C., and Moser, J., Lectures on Celeastial Mechanics, Springer Verlag (1971).

    Google Scholar 

  10. Sperling, H., On the real singularities of the n-body problem, J. Reine Angew. Math. 245 (1970) 14–50.

    Google Scholar 

  11. Sundman, K., Mémoire sur la problème des trois corps, Acta Math. 36 (1912) 105–179.

    Google Scholar 

  12. Sundman, K., Nouvelles recherches sur la problème des trois corps, Acta Soc. Sci. Fenn. 35, 9 (1909).

    Google Scholar 

  13. von Zeipel, H., Sur les singularités du problème des n corps, Ark. Mat. Astr. Fys. 4, No. 32 (1908).

    Google Scholar 

  14. Wintner, A., The Analytical Foundations of Celestial Mechanics, Princeton University Press (1941)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, Minnesota

    Richard McGehee

Authors
  1. Richard McGehee
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. Moser

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag

About this chapter

Cite this chapter

McGehee, R. (1975). Triple collision in Newtonian gravitational systems. In: Moser, J. (eds) Dynamical Systems, Theory and Applications. Lecture Notes in Physics, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07171-7_17

Download citation

  • DOI: https://doi.org/10.1007/3-540-07171-7_17

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07171-6

  • Online ISBN: 978-3-540-37505-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation