Skip to main content
Log in

Influence of geomagnetic field on the motion of low satellites

  • Original Article
  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

The first aim of the present work is to compute a more accurate and recent model for the Earth’s magnetic field. The second aim is to determine the effects of the Earth’s magnetic field on the motion of a charged artificial satellite to evaluate the variations of the orbital elements of the satellite due to these effects. The magnetic field and its variation with time have been studied at different heights, longitudes and latitudes. The geomagnetic field is considered as a multiple potential field and the electrical charge of the satellite is assumed to be constant. A new computer code has been constructed to follow the components of the magnetic field in spherical harmonic models. The Gauss equations are solved numerically. The results concentrate on the computation of the numerical values of orbital perturbation for the case of a low Earth satellite. RS-1 satellite and space craft gravity probe B (GPB) are chosen as cases of studies for a detailed numerical analysis.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Cain, J.C., Cain, S.J.: IGRF (10/68), Goddard Space Flight Center Report, X-612-68-501 (1968)

  • Cain, J.C., Frayser, J., Muth, L., Schmitz, D.: J. Geophys. Res. 88, 5903–5910 (1983)

    Article  ADS  Google Scholar 

  • Ciufolini, I.: Celest. Mech. 40, 19 (1987)

    Article  ADS  Google Scholar 

  • Everitt, C.W.F., et al.: GP-B data analysis-status & potential for improved accuracy of scientific results. NASA final Report, December 2008

  • Fougere, P.F.: J. Geophys. Res. 70, 2717 (1965)

    Article  Google Scholar 

  • Leaton, B.R.: Trans. Am. Geophys. Union 57, 120 (1976)

    Google Scholar 

  • Nawawy, M., Ismail, M., Rassem, M., Saad, N.: Al-Azhar Bull. Sci. 14(1), 15–23 (2003)

    Google Scholar 

  • Olsen, N.: Geophys. J. Int. 149, 454–462 (2002)

    Article  ADS  Google Scholar 

  • Olsen, N., Sabaka, T.J., Tøffner-Clausen, L.: Earth Planets Space 52, 1175–1182 (2000)

    ADS  Google Scholar 

  • Roy, A.E.: Orbital Motion. Higher, Bristol (1983)

    Google Scholar 

  • Sehnal, L.: The motion of a charged satellite in the Earth’s magnetic field. SAO report No. 271 (1969)

  • Sharma, R.K., Mani, L.: Indian J. Pure Appl. Math. 16(7), 833 (1985)

    ADS  Google Scholar 

  • Vokrouhlicky, D.: Celest. Mech. Dyn. Astron. 46, 85–104 (1989)

    Article  MATH  ADS  Google Scholar 

  • Vokrouhlicky, D.: Astron. Inst. Czechoslov. Bull. 41, 205–211 (1990)

    MATH  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nadia A. Saad.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saad, N.A., Ismail, M.N. Influence of geomagnetic field on the motion of low satellites. Astrophys Space Sci 325, 177–184 (2010). https://doi.org/10.1007/s10509-009-0185-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10509-009-0185-5

Navigation