Skip to main content
Log in

Dynamics of a plasma ring rotating in the magnetic field of a central body: Magneto-gravitational waves

  • Published:
Cosmic Research Aims and scope Submit manuscript

Abstract

The model problem of the dynamics of a planar plasma ring rotating in the dipole magnetic field of a central body is considered. A finite-dimensional mathematical model of the system is synthesized by the Boubnov-Galerkin method. The class of solutions corresponding to magneto-gravitational waves associated with deformations of the ring boundaries is investigated.

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. Alfven, H. and Falthammer, C.-G., Cosmical Electrodynamics, London. Oxford University Press, 1963. Translated under the title Kosmicheskaya elektrodinamika, Moscow: Mir, 1967.

    Google Scholar 

  2. Alfven, H., Cosmic Plasma, Dordrecht: Reidel, 1961. Translated under the title Kosmicheskaya Plazma, Moscow: Mir, 1983.

    Google Scholar 

  3. Morrison, D. and Samz, J., Voyage to Jupiter, Washington, DC: NASA SP-439, 1980.

    Google Scholar 

  4. Torrence V., Johnson, The Galileo Mission, Scientific American, December, 1995, pp. 41–51.

  5. Hill, T.W. and Dessler, A.J., Plasma Motion in Planetary Magnetospheres, Science, 1991, no. 252, pp. 410–415.

  6. Schneider, N. and Spencer, J., Io and Jupiter: The Volcano-Magnetosphere Connection, Geophysics News, 1991, pp. 55–57.

  7. Bagenal, F., Empirical Model of the Io Plasma Torus: Voyager Measurements, J. Geophys. Res., 1994, vol. 99, p. 11.43.

    Article  ADS  Google Scholar 

  8. Hill, T.W. and Dessler, A.J., Space Physics and Astronomy Converge in Exploration of Jupiter’s Magnetosphere, EOS Trans. AGU, 1995, vol. 76, no. 33, pp. 313–314.

    Google Scholar 

  9. Frank, L.A., Paterson, W.R., Ackerson, K.L., et al., Plasma Observation at Io with the Galileo Spacecraft: Passage through the Ionosphere, Science, 1996, vol. 274, p. 394.

    Article  ADS  Google Scholar 

  10. Gurnett, D.A., Kurth, W.S., Roux, A., et al., Galileo Plasma Wave Observations in the Io Plasma Torus and Near Io, Science, 1996, no. 274, p. 391.

  11. Russel, C.T., Bagenal, F., Cheng, A.F., et al., Io’s Interaction with the Jovian Magnetosphere, EOS Trans. AGU, 1997, vol. 78, no. 9, pp. 93–100.

    Google Scholar 

  12. Porco, Caroline, Captain’s Log: 2004. 184, The Planetary Report, 2004, vol. 24, no. 5, p. 12.

  13. Factinos. Keck Observatory, The Planetary Report, 2005, vol. 25, no. 1, p. 21.

  14. Rabinovich, B.I. and Prokhorenko, V.I., A Spacecraft with Fluid Stabilized by Rotation, Plasma Torus, and the Alfven Problem, Polyot, 1999, no. 5, pp. 9–16.

  15. Narimanov, G.S., Motion of a Symmetrical Gyroscope Whose Cavity is Partially Filled with Liquid, Prikl. Mat. Mekh., 1957, vol. 21, no. 5, pp. 699–706.

    Google Scholar 

  16. Stewartson, K., On the Stability of Spinning Torus Containing Liquid, J. Fluid Mech., 1959, no. 5, pp. 577–592.

  17. Kochin, N.E., Kibel’, I.A., and Roze, N.V., Teoreticheskaya gidrodinamika (Theoretical Hydrodynamics), Moscow: Gostekhteorizdat, 1941, vol. 1.

    Google Scholar 

  18. Bogorodskii, A.F., Magnitnaya gidrodinamika (Magnetic Hydrodynamics), Kiev: Izd. Kievskogo Universiteta, 1966.

    Google Scholar 

  19. Rabinovich, B.I., Lebedev, V.G., and Mytarev, A.I., Vortex Processes and Solid Body Dynamics. The Dynamic Problems of Space Craft and Magnetic Levitation Systems, Dordrecht-Boston-London: Kluwer Academic, 1994.

    Google Scholar 

  20. Beletskii, V.V. and Levin, E.M., Stability of a Satellite Ring, Prikl. Mat. Mekh., 1986, vol. 50, no. 2, pp. 179–186.

    Google Scholar 

  21. Merkin, D.R., Giroskopicheskie sistemy (Gyroscopic Systems), Moscow: Nauka, Fizmatgiz, 1974.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © B.I. Rabinovich, 2006, published in Kosmicheskie Issledovaniya, 2006, Vol. 44, No. 1, pp. 43–51.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rabinovich, B.I. Dynamics of a plasma ring rotating in the magnetic field of a central body: Magneto-gravitational waves. Cosmic Res 44, 39–47 (2006). https://doi.org/10.1134/S0010952506010047

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0010952506010047

PACS numbers

Navigation