Skip to main content
SpringerLink
Log in

Note on Cid's radial intermediary and the method of averaging

  • Published:
Celestial mechanics Aims and scope Submit manuscript

“Así debe ser—dijo cl Cura—; y en lo de casarsc vuestro amo, yo haré en ello todos mis poderíos.” —MIGUEL de CERVANTES SAAVEDRA, El ingenioso hidalgo don Quijote de la Mancha.

Abstract

In the main problem of artificial satellite theory, the difference between the Hamiltonian and Cid's radial intermediary is a function of the argument of latitude whose average over the mean anomaly is zero.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Alfriend, K. T. and Coffey, S. L.: 1984,Celes. Mech. 32, 163–172.

    Google Scholar 

  2. Brouwer, D. and Clemence, G. M.: 1961,Methods of Celestial Mechanics, Academic Press, New York and London.

    Google Scholar 

  3. Cid R., Ferrer S., and Sein-Echaluce, M. L.: 1986,Celes. Mech. 38, 191–205.

    Google Scholar 

  4. Cid R. and Lahulla, J. F.: 1969, Perturbaciones de corto período en el movimiento de un satélite artificial, en función de las variables de Hill,Publ. Rev. Acad. Ciencias Zaragoza 24, 159–165.

    Google Scholar 

  5. Cid R. and Lahulla J. F.: 1971, Perturbaciones de segundo orden y corto período, para el movimiento de un satélite artificial en las variables de Hill,Publ. Rev. Acad. Ciencias Zaragoza 26, 333–343.

    Google Scholar 

  6. Cid R. and Lahulla J. F.: 1971, Aplicación de las transformaciones de Lie a la eliminación de términos de corto período,Vrania (Tarragona) núm.274, 177–182.

    Google Scholar 

  7. Deprit, A.: 1981,Celes. Mech. 24, 111–154.

    Google Scholar 

  8. Kozai, Y.: 1962,Astron. J. 67, 311–312.

    Google Scholar 

  9. Richardson, D.: 1987, private communication.

  10. Tisserand, F.: 1881,Traité de Mécanique Céleste, vol. 1, Paris Gauthier Villars.

  11. Vinti, J. P.: 1986, private communication.

  12. Whittaker, E. T.: 1937,A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Cambridge University Press, 4th edition.

Download references

Author information

Authors and Affiliations

  1. National Bureau of Standards, 20899, Gaithersburg, MD, USA

    André Deprit

  2. Departamento de Física de la Tierra y del Cosmos, Universidad de Zaragoza, 50009, Zaragoza, Spain

    Sebastián Ferrer

Authors
  1. André Deprit
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sebastián Ferrer
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Deprit, A., Ferrer, S. Note on Cid's radial intermediary and the method of averaging. Celestial Mechanics 40, 335–343 (1987). https://doi.org/10.1007/BF01235851

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01235851

Keywords

Search

Navigation