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Lorentz resonances and the structure of the Jovian ring


Charged dust orbiting through spatially periodic planetary magnetic fields will experience time-variable electromagnetic forces. When the forcing frequencies are nearly commensurate with the particle's orbital frequency, the particle undergoes large out-of-plane and radial excursions. Specific ‘Lorentz’ resonances, corresponding to particular spatial periodicities in the magnetic field, occur on either side of synchronous orbit. We describe here Lorentz resonance locations and strengths for the jovian and saturnian rings. The boundaries of the halo of the jovian ring, and perhaps other ring structure, are near resonances.

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  1. Greenberg, R. Vistas Astr. 21, 209–239 (1977).

    Article  ADS  Google Scholar 

  2. Peale, S. J. Ann. Rev. Astr. Astrophys. 14, 215–246 (1976).

    Article  ADS  Google Scholar 

  3. Cuzzi, J. N. et al. in Planetary Rings (eds Greenberg, R. & Brahic, A.) 73–199 (University of Arizona Press, 1984).

    Google Scholar 

  4. Esposito, L. W. et al. in Saturn (eds Gehrels, T. & Matthews, M.S.) 463–545 (University of Arizona Press, 1984).

    Google Scholar 

  5. Dermott, S. F. & Gold, T. Nature 267, 590–593 (1977).

    Article  ADS  Google Scholar 

  6. Goldreich, P. & Nicholson, P. Nature 269, 783–785 (1977).

    Article  ADS  Google Scholar 

  7. Aksnes, K. Nature 269, 783 (1977).

    Article  ADS  Google Scholar 

  8. Franklin, F. A., Colombo, G. & Cook, A. F. II Nature 245, 128–130 (1982).

    Article  ADS  Google Scholar 

  9. Stevenson, D. J. EOS 63, 1020 (1982).

    Google Scholar 

  10. Burns, J. A., Showalter, M. R. & Morfill, G. E. in Planetary Rings (eds Greenberg, R.& Brahic, A.) 200–272 (University of Arizona Press, 1984).

    Google Scholar 

  11. Owen, T. et al. Nature 281 442–446 (1979).

    Article  ADS  Google Scholar 

  12. Showalter, M. R. thesis, Cornell University (1985).

  13. Jewitt, D. C. & Danielson, G. E. J. geophys. Res. 86, 8691–8697 (1981).

    Article  ADS  CAS  Google Scholar 

  14. Consolmagno, G. J. J. geophys. Res. 88, 5607–5612 (1983).

    Article  ADS  Google Scholar 

  15. Schaffer, L. & Burns, J. A. Adv. Space Res. 4, 107–110 (1984).

    Article  ADS  Google Scholar 

  16. Mendis, D. A., Hill, J. R., Ip, W.-H., Goertz, C. K. & Grün, E. in Saturn (eds Gehrels, T. & Matthews, M. S.) 546–589 (University of Arizona Press, 1984).

    Google Scholar 

  17. Grün, E., Morfill, G. E. & Mendis, D. A. in Planetary Rings (eds Greenberg, R. & Brahic, A.) 275–332 (University of Arizona Press, 1984).

    Google Scholar 

  18. Acuña, M. H., Behannon, K. W. & Connerney, J. E. P. in Physics of the Jovian Magnetosphere (ed. Dessler, A. J.) 1–50 (Cambridge University Press, 1983).

    Book  Google Scholar 

  19. Smith, E. J., Davis, L. Jr & Jones, D. E. in Jupiter (ed. Gehrels, T.) 788–829 (University of Arizona Press, 1976).

    Google Scholar 

  20. Shu, F. H. in Planetary Rings (eds Greenberg, R. & Brahic, A.) 513–561 (University of Arizona Press, 1984).

    Google Scholar 

  21. Morfill, G. E. & Grün, E. Planet. Space Sci. 27, 1269–1282 (1979).

    Article  ADS  Google Scholar 

  22. Elliot, J. L. & Nicholson, P. D. in Planetary Rings (eds Greenberg, R. & Brahic, A.) 25–72 (University of Arizona Press, 1984).

    Google Scholar 

  23. Null, G. W. Astr. J. 81, 1153–1161 (1976).

    Article  ADS  Google Scholar 

  24. Null, G. W., Lau, E. L., Biller, E. D. & Anderson, J. D. Astr. J. 86, 456–468 (1981).

    Article  ADS  Google Scholar 

  25. Connerney, J. E. P., Davis, L. Jr. & Chenette, D. L. in Saturn (eds Gehrels, T. & Matthews, M. S.) 354–377 (University of Arizona Press, 1984).

    Google Scholar 

  26. Smith, E. J. et al. J. geophys. Res. 85, 5655–5674 (1980).

    Article  ADS  Google Scholar 

  27. Showalter, M. R., Burns, J. A., Cuzzi, J. N. & Pollack, J. B. Nature (submitted).

  28. Porco, C. et al. Icarus 60, 17–28 (1984).

    Article  ADS  Google Scholar 

  29. Borderies, N., Goldreich, P. & Tremaine, S. Nature 299, 209–211 (1982).

    Article  ADS  Google Scholar 

  30. Havnes, O., Morfill, G. E. & Goertz, C. K. J. geophys. Res. 89, 10933–11003 (1984).

    Article  Google Scholar 

  31. Northrop, T. G. & Hill, J. R. J geophys. Res. 88, 6102–6108 (1983).

    Article  ADS  Google Scholar 

  32. Acuña, M. H., Connerney, J. E. P. & Ness, N. F. J. geophys. Res. 88, 8771–8778 (1983).

    Article  ADS  Google Scholar 

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Burns, J., Schaffer, L., Greenberg, R. et al. Lorentz resonances and the structure of the Jovian ring. Nature 316, 115–119 (1985).

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