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Three dimensional dynamo theory in the magnetosphere

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Abstract

We have solved in this paper the three dimensional dynamo equation consistent with the conditions in the magnetosphere. The conductivity we have adopted here is that for a fully ionised but highly rarefied gas in a magnetic field. The velocity field is based on the measurements of the convection patterns made by different satellites. The solution obtained of the dynamo equation is presented here in the most general form so that it can be used when the various parameters are known to a higher degree of accuracy in future. We have then made a model calculation based on the particular solution of the inhomogeneous differential equation and have computed the components of the current as well as the isointensity curves in the midday-midnight meridional plane. as well as on the dawn-dusk meridional plane. These theoretical results have then been matched with observations.

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References

  • Baker, W. G.: 1953,Phil. Trans. Roy. Soc. London A246, 295.

    Google Scholar 

  • Baker, W. G. and Martyn: 1953,Phil. Trans. Roy. Soc. London A246, 281.

    Google Scholar 

  • Beard, D. B. and Jenkins, E. B.: 1962,J. Geophys. Res. 67, 3361.

    Google Scholar 

  • Brice, N. M.: 1967,J. Geophys. Res. 72, 5193.

    Google Scholar 

  • Bullard, E. C.: 1949,Proc. Roy. Soc. London A199, 413.

    Google Scholar 

  • Chakrabarty, S. K. and Pratap, R.: 1954,J. Geophys. Res. 59, 1.

    Google Scholar 

  • Chapman, S.: 1919,Phil. Trans. Roy. Soc. London A218, 1.

    Google Scholar 

  • Chapman, S. and Bartels, J.: 1940,Geomagnetism, Vols. I and II, Oxford University Press, London.

    Google Scholar 

  • Chapman, S. and Cowling, T. G.: 1960,The Mathematical Theory of Non Uniform Gases, Cambridge Univ. Press, England.

    Google Scholar 

  • Chen, A. J.: 1970,J. Geophys. Res. 75, 2458.

    Google Scholar 

  • Cocks, A. C. and Price, A. T.: 1969,Planetary Space Sci. 17, 471.

    Google Scholar 

  • Coleman, P. J.: 1970, in V. Manno and W. E. Page (eds.),Intercorrelated Satellite Observations Related to Solar Events, D. Reidel Publishing Company, Holland, pp. 251–279.

    Google Scholar 

  • Cowling, T. G.: 1933,Roy. Astron. Soc. 93, 90.

    Google Scholar 

  • Cummings, W. D., Coleman, P. J., and Siscoe, G. L.: 1971,J. Geophys. Res. 76, 926.

    Google Scholar 

  • DeForest, S. E. and McIlwain, C. E.: 1971,J. Geophys. Res. 76, 3587.

    Google Scholar 

  • Higuchi, Y. and Jacobs, J. A.: 1970,J. Geophys. Res. 75, 7105.

    Google Scholar 

  • Kane, R. P.: 1970,Planetary Space Sci. 18, 1834.

    Google Scholar 

  • Kane, R. P.: 1971a,J. Atmospheric and Terrest. Phys. 33, 319.

    Google Scholar 

  • Kane, R. P.: 1971b,Ann. Geophys. 27, 241.

    Google Scholar 

  • Kane, R. P.: 1971c,Nature 232, 21.

    Google Scholar 

  • Lindzen, R. S.: 1967,Quart. J. Roy. Meteorol. Soc. 93, 18.

    Google Scholar 

  • Martyn, D. F.: 1953,Phil. Trans. Roy. Soc. London A246, 306.

    Google Scholar 

  • Maeda, H.: 1968,Space Sci. Rev. 8, 555.

    Google Scholar 

  • Matsushita, S.: 1969,Proc. Third Internat. Symp. on Equatorial Aeronomy Ahmedabad 1, 137.

    Google Scholar 

  • Matsushita, S.: 1971,Radio Sci. 6, 279.

    Google Scholar 

  • Matsushita, S. and Campbell, W. H.: 1967,Physics of Geomagnetic Phenomena, Academic Press, N.Y.

    Google Scholar 

  • Mead, G. D.: 1964,J. Geophys. Res. 69, 1169.

    Google Scholar 

  • Matveev, M. I.: 1971,Gerland Beitr. Geophys. Leipzig 80, 155.

    Google Scholar 

  • Mishin, V. M.: 1971,Gerland Beitr. Geophys. Leipzig 80, 111.

    Google Scholar 

  • Mishin, V. M., Basarzhapov, A. D., Matveev, M. I., Popov, G. V., Tubalova, V. M., and Nemtsova, E. I.: 1971,Gerland Beitr. Geophys. Leipzig 80, 171.

    Google Scholar 

  • Nair, K. N., Rastogi, R. G., and Sarabhai, V.: 1970,Nature 226, 740.

    Google Scholar 

  • Nair, K. N. and Sarabhai, V.: 1970,Int. Symp. on Solar-Terres. Phys. MI-8.

  • Olson, W. P.: 1969,J. Geophys. Res. 74, 5642.

    Google Scholar 

  • Olson, W. P.: 1970,Trans. Ann. Geophys. Union 51, 401.

    Google Scholar 

  • Popov, G. V.: 1971,Gerland Beitr. Geophys. Leipzig 80, 233.

    Google Scholar 

  • Pratap, R.: 1954a, Special Geomagnetic Number of theIndian Journal of Meteorol. and Geophys. 5, 1 89.

    Google Scholar 

  • Pratap, R.: 1954b,Proc. Nat. Inst. Sci. India 20, 252.

    Google Scholar 

  • Pratap, R.: 1955,Bull. Calc. Mat. Soc. 47, 115.

    Google Scholar 

  • Pratap, R.: 1957,J. Geophys. Res. 62, 581.

    Google Scholar 

  • Price, A. T.: 1969,Space Sci. Rev. 9, 151.

    Google Scholar 

  • Sarabhai, V. and Nair, K. N.: 1969a,Nature 223, 603.

    Google Scholar 

  • Sarabhai, V. and Nair, K. N.: 1969b,Proc. Ind. Acad. Sci. ALXIX, 291.

    Google Scholar 

  • Sarabhai, V. and Nair, K. N.: 1969c, inI.A.G.A. Bulletin 26 (ed. by L. R. Alldredge), Madrid, 304.

  • Sarabhai, V. and Nair, K. N.: 1971,Cosmic Electrodyn. 2, 3.

    Google Scholar 

  • Sastry, T. S. G.: 1968,J. Geophys. Res. 73, 1789.

    Google Scholar 

  • Sastry, T. S. G.: 1970,Space Res. 10, 778.

    Google Scholar 

  • Sastry, T. S. G.: 1972, Private communication.

  • Schuster, A.: 1889,Phil. Trans. Roy. Soc. London A180, 467.

    Google Scholar 

  • Schuster, A.: 1908,Phil. Trans. Roy. Soc. London A208, 163.

    Google Scholar 

  • Spitzer, L.: 1952,Astrophys. J. 116, 299.

    Google Scholar 

  • Spitzer, L.: 1962,Physics of Fully Ionised Gases, Interscience, N.Y.

    Google Scholar 

  • Sugiura, M. and Heppner, J. P.: 1965, inSpace Science (ed. by W. N. Hess), Blackie and Sons, Ltd., London.

    Google Scholar 

  • Sugiura, M. and Poros, D. J.: 1969,J. Geophys. Res. 74, 4025.

    Google Scholar 

  • Sugiura, M., Skillman, T. L., Ledley, B. G., and Heppner, J. P.: 1969, G.S.F.C. Preprint X-612-69-359.

  • Taylor, H. E. and Hones, E. W.: 1965,J. Geophys. Res. 70, 3605.

    Google Scholar 

  • United, J.: 1967,J. Geophys. Res. 72, 5799.

    Google Scholar 

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Authors and Affiliations

  1. Physical Research Laboratory, Ahmedabad-9, India

    R. Pratap & V. Sarabhai

  2. Space Physics Division, Space Science and Technology Centre, Trivandrum, India

    K. N. Nair

Authors
  1. R. Pratap
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  2. V. Sarabhai
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  3. K. N. Nair
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Additional information

The passing away on December 30, 1971 of Professor Sarabhai prevented his seeing this final write up.

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Pratap, R., Sarabhai, V. & Nair, K.N. Three dimensional dynamo theory in the magnetosphere. Astrophys Space Sci 20, 307–327 (1973). https://doi.org/10.1007/BF00642206

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  • DOI: https://doi.org/10.1007/BF00642206

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