Skip to main content
Log in

Chaotic attitude motion of gyrostat statellites in a central force field

  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

The nonlinear attitude motion of gyrostat satellites in a central force field is investigated, with particular emphasis on their long-time dynamic behavior for a wide range of parameters. The numbers of equilibrium solutions, as well as their stability, vary with the rotor speed, and bifurcation diagrams have been obtained. Various dynamic behaviors of gyrostat satcllites, e.g. periodic, quasiperiodic, and chaotic, are studied via the Poincaré map technique. It is shown that the rotor speed has a significant effect on the dynamic behavior of gyrostat satellites.

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

  1. Thomson, W. (Lord Kelvin), ‘Vibration and waves in a stretched uniform chain of symmetrical gyrostats’, Proceedings of London Mathematical Society 6, 1875, 190–194.

    Google Scholar 

  2. Rimrott, F. P. J., Introductory Attitude Dynamics, Springer-Verlag, New York, 1988.

    Google Scholar 

  3. Kane, T. R. and Mingori, D. L., ‘Effect of a rotor on the attitude stability of a satellite in a circular orbit’, AIAA Journal 3, 1965, 936–940.

    Google Scholar 

  4. Crespo da Silva, M. R. M., ‘Attitude stability of a gravity-stabilized gyrostat satellites’, Celestial Mechanics 2, 1970, 147–165.

    Google Scholar 

  5. Hagedorn, P., ‘Steady motions in controlled gyrostat systems’, Ingenieur-Archiv 52, 1982, 183–204.

    Google Scholar 

  6. Vigneron, F., ‘Stability of a dual-spin satellite in a circular orbit’, AIAA Journal of Spacecraft and Rockets 8, 1971, 1092–1094.

    Google Scholar 

  7. Tong, X. and Rimrott, F. P. J., ‘Chaotic attitude motion of spinning symmetrical satellites in a circular orbit’, in Proceedings of International Conference on Dynamics, Vibration, and Control, Beijing, China, July 13–16, 1990. 194–200.

  8. Guran, A., Tong, X., and Rimrott, F. P. J., ‘Instabilities in a spinning axi-symmetric rigid satellite’, Mechanics Research Communications 18, 1991, 287–291.

    Google Scholar 

  9. Percival, I. C., ‘Chaos in Hamiltonian system’, Proceedings of the Royal Society of London A 413, 1987, 131–144.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tong, X., Rimrott, F.P.J. Chaotic attitude motion of gyrostat statellites in a central force field. Nonlinear Dyn 4, 269–278 (1993). https://doi.org/10.1007/BF00046324

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00046324

Key words

Navigation