Skip to main content
SpringerLink
Log in

The prediction of satellite orbits

  • Conference paper
Dynamics of Satellites / Dynamique des Satellites

Part of the book series: IUTAM Symposia ((IUTAM))

Abstract

In this paper we develop a perturbation method and apply it to the prediction of orbits of earth satellites that are disturbed by various external forces. The theory of resonances and stable orbit configurations, possible when sunlight pressure is important, are also analyzed. Finally, we describe experiments to determine the magnitude of perturbing forces such as charge drag.

Operated with support from the U.S. Air Force.

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

Access this chapter

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Parkinson, R. W., H. M. Jones, and I.I. Shapiro: Science 181, 920 (1960).

    Article  Google Scholar 

  2. See, for example, F. R. Moulton: Celestial Mechanics (New York: Mac-millan Co., 1914).

    Google Scholar 

  3. Shapiro, I.I., and H.M.Jones: J. Geophys. Res. 66, 4123 (1961).

    Article  MathSciNet  Google Scholar 

  4. The major architect of this program was H. M. Jones. Other contributors include C. W. Perkins, P. Willmann, M. Ash, and C. Berger. G. Strang, with the help of P. Willmann, also constructed a triple-precision Runge-Kutta integration program which includes the effects of the earth’s gravitational potential, direct sunlight pressure, and air drag, simulated by a simple model. This latter has been very useful for checking purposes.

    Google Scholar 

  5. King-Hele, D. G.: Geophys. J. 4, 3 (1961).

    Article  MathSciNet  Google Scholar 

  6. This work is being carried out by C. W. Perkins.

    Google Scholar 

  7. Abbot, C. G.: Smith. Cont. Astrophys. 3, 13 (1958).

    Google Scholar 

  8. See also P. Musen: J. Geophys. Res. 65, 1391 (1960), and Y. Kozai: Smith. Astrophys. Obs. Spec. Rep. No. 56, 25 (1961).

    Article  Google Scholar 

  9. Jones, H. M.: Unpublished notes.

    Google Scholar 

  10. Jones, H. M., I.I. Shapiro, and P. E. Zadunaisky in Space Research II: Proceedings of the Second International Space Science Symposium (North Holland, Amsterdam, 1961), p. 342.

    Google Scholar 

  11. Shapiro, I.I.: Unpublished notes.

    Google Scholar 

  12. Sterne, T. E.: J. Amer. Rocket Soc. 29, 777 (1959).

    Google Scholar 

  13. Jacchia, L. G.: Nature 183, 1662 (1959).

    Article  Google Scholar 

  14. Zadunaisky, P. E., I.I.Shapiro, and H.M.Jones: Smith. Astrophys. Obs. Spec. Rep. No. 61 (1961). See also ref. 10 and I.I. Shapiro and H. M. Jones: Science 132, 1484 (1960); 133, 579 (1961).

    Google Scholar 

  15. Chopra, K. P.: Revs. Modern Phys. 33, 153 (1961).

    Article  Google Scholar 

  16. Our interest in this problem was restimulated by communications with S. F. Singer.

    Google Scholar 

  17. Spitzer, L.: Ap. J. 93, 369 (1941).

    Article  Google Scholar 

  18. Bourdeau, R. E., et al: NASA Tech. Note D-164 (1961).

    Google Scholar 

  19. See, for example, V.I. Krassovsky: Proc. IRE, 47, 289 (1959).

    Article  Google Scholar 

  20. O’Brien, B. J.: private communication.

    Google Scholar 

  21. Beard, D. B., and F. S.Johnson: J. Geophys. Res. 65, 1 (1960).

    Article  Google Scholar 

  22. Massey, H. S. W., and E. H. S. Burhop: Electronic and Ionic Impact Phenomena (Oxford: Oxford University Press, 1952).

    MATH  Google Scholar 

  23. Hughes, A. L., and L. A. DuBridge: Photoelectric Phenomena (New York: McGraw Hill, 1932).

    Google Scholar 

  24. Hinteregger, H. E.: Private communication. We also wish to thank Dr. Hinteregger for several stimulating discussions.

    Google Scholar 

  25. Weissler, G. L.: Handbuch der Physik 21, 304 (1956).

    Article  Google Scholar 

  26. Hinteregger, H. E.: J. Geophys. Res. 66, 2367 (1961).

    Article  Google Scholar 

  27. Bohm, D., and D. Pines: Phys. Rev. 82, 625 (1951).

    Article  MathSciNet  MATH  Google Scholar 

  28. Davis, A. H., and I.Harris: NASA Tech. Note D-704 (1961).

    Google Scholar 

  29. Spitzer, L.: Physics of Fully Ionized Gases (Interscience, New York, 1956).

    MATH  Google Scholar 

  30. Chandrasekhar, S.: Ap. J. 97, 255 (1943).

    Article  MathSciNet  MATH  Google Scholar 

  31. Fermi, E.: Nuclear Physics (University of Chicago Press, Chicago, 1951), p. 27.

    Google Scholar 

  32. Rand, S.: Phys. Fluids 3, 265 (1960).

    Article  MathSciNet  MATH  Google Scholar 

  33. McCracken, C. W., W. M. Alexander, and M. Dubin: Nature 192,441 (1961).

    Article  Google Scholar 

  34. Robertson, H.P.: M.N. 97, 423 (1937).

    MATH  Google Scholar 

  35. See, for example, Y. Kozai: Smith. Astrophys. Obs. Spec. Rep. 22, 7 (1959); Upton, E., A. Bailie, and P. Musen: Science 130, 1710 (1959).

    Google Scholar 

  36. Shapiro, I. L, and H.M.Jones: Science 134, 973 (1961).

    Article  Google Scholar 

  37. Shapiro, I.I.: Paper presented at VIII Annual Meeting of Amer. Astronaut. Soc. (1962).

    Google Scholar 

  38. We wish to thank L. G. Jacchia for a discussion on this point.

    Google Scholar 

  39. Colombo, G.: Smith. Astrophys. Obs., is investigating the possibility of using such techniques.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lincoln Laboratory, Massachusetts Institute of Technology, Lexington, Mass., USA

    Irwin I. Shapiro

Authors
  1. Irwin I. Shapiro
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Maurice Roy

Rights and permissions

Reprints and permissions

Copyright information

© 1963 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Shapiro, I.I. (1963). The prediction of satellite orbits. In: Roy, M. (eds) Dynamics of Satellites / Dynamique des Satellites. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48130-7_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-48130-7_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-48132-1

  • Online ISBN: 978-3-642-48130-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation