Skip to main content

Application of the theorem of connectivity of M7 in astronomy

  • Conference paper
  • First Online:
Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 964))

  • 699 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Birkhoff, G.D.: Dynamical systems, Amer. Math. Soc. Coll. Publ. IX (1927).

    Google Scholar 

  2. Birkhoff, G.D.: Einige Problem der Dynamik, Jahresbericht der Deutschen Mathematikers Vereinigung 38, Heft 1/4 (1929), 1–11. Collected works 2778–2793.

    MATH  Google Scholar 

  3. Easton, R.W.: Some topology of the 3-body problem, J. of Diff. Equations 10, 2 (1971).

    Google Scholar 

  4. Easton, R.W.: Some topology of n-body problems, J. of Diff. Equations 19, 2 (1975).

    Google Scholar 

  5. Easton, R.W.: The topology of the regularized integral surfaces of the 3-body problem, J. of Diff. Equations 12, 2 (1972).

    Google Scholar 

  6. Easton, R.W.: Some qualitative aspects of the 3-body flow, Dynamical Systems, No 2, An international symposium (1976).

    Google Scholar 

  7. Siegel, C.L.: Der Dreierstoss, Ann. of Maths. 42 (1941), 127–168.

    Article  MathSciNet  MATH  Google Scholar 

  8. Siegel, C.L.: Lectures on celestial mechanics (in Germ.) 1955.

    Google Scholar 

  9. Siegel, C.L. and Moser,: Lectures on celestial mechanics, Springer-Verlag, 1971.

    Google Scholar 

  10. Sundman, K.F.: Mémoire sur le problème des trois corps, Acta. Math. 36 (1912), 105–179.

    Article  MathSciNet  MATH  Google Scholar 

  11. Tung, Chin-Chu: A brief account of G D Birkhoff's problem in the problem of 3 bodies, Appl. Math. & Mech. (Engl. ed. 1, No 2, Dec 1980).

    Google Scholar 

  12. Tung, Chin-Chu: The motion of Triton as a satellite of Neptune, Publ. of the Beijing Astron. Observatory, No 15 (1978).

    Google Scholar 

  13. Tung, Chin-Chu: Some properties of the classical integrals of the general 3-body problem, Scientia Sinica, 17, No 3 (1974).

    Google Scholar 

  14. Tung, Chin-Chu: A property of the motion of the moon, Publ. of the Beijing Astron. Observatory, No 1 (1979).

    Google Scholar 

  15. Whittaker, E.T.: A treatise on the analytical dynamics of particles and rigid bodies, Cambridge University Press, 4th ed., 1937.

    Google Scholar 

Download references

Authors

Editor information

W.N. Everitt B.D. Sleeman

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Chin-Chu, T. (1982). Application of the theorem of connectivity of M7 in astronomy. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065038

Download citation

  • DOI: https://doi.org/10.1007/BFb0065038

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11968-5

  • Online ISBN: 978-3-540-39561-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics