Skip to main content
SpringerLink
Log in

On some problems concerning the calculation of the form of the magnetopause and the electric field on the magnetopause in the framework of the continuum medium model

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

Abstract

In order to understand the reason of the existence of the electric field in the magnetosphere, and for the theoretical evaluation of its value, it is necessary to find the solution of the problem of determination of the magnetosphere boundary form in the frameworks of the continuum medium model which takes into account part of the magnetospheric plasma movement in supporting the magnetospheric boundary equilibrium. A number of problems for finding the distribution of the pressure, the density, the magnetic field and the electric field on the particular tangential discontinuity is considered in the case when the form of discontinuity is set (the direct problem) and a number of problems for finding the form of the discontinuity and the distribution of the above-mentioned physical quantities on the discontinuity is considered when the law of the change of the external pressure along the boundary is set (for example, with the help of the approximate Newton equation). The problem which is considered here, which deals with the calculation of the boundary form and with the calculation of the distribution of the corresponding physical quantities on the discontinuity of the 1st kind for the compressible fluid with the magnetic field with field lines which are perpendicular to the plane of the flow in question, concerns the last sort of problems. The comparison of the results of the calculation with the data in the equatorial cross-section of the magnetosphere demonstrates that the calculated form of the boundary, the value of the velocity of the return flow and the value of the electric field on the magnetopause, agree satisfactorily with the observational data.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Aubry, M. P., Kivelson, M. G. and Russell, C. F.: 1971,J. Geophys. Res. 76, 1963.

    Google Scholar 

  • Beard, D. B.: 1960,J. Geophys. Res. 65, 3559.

    Google Scholar 

  • Beard, D. B.: 1964,Rev. Geophys. 2, 335.

    Google Scholar 

  • Beard, D. B.: 1973,Planetary Space Sci. 21, 1475.

    Google Scholar 

  • Berthelier, A., Berthelier, J. J. and Guérin, C.: 1974,J. Geophys. Res. 79, 3187.

    Google Scholar 

  • Bogott, F. H. and Mozer, F. S.: 1971,J. Geophys. Res. 76, 892.

    Google Scholar 

  • Chapman, S. and Ferraro, V. C. A.: 1931a,Terr. Magn. Atmos. Electr. 36, 77.

    Google Scholar 

  • Chapman, S. and Ferraro, V. C. A.: 1931b,Terr. Magn. Atmos. Electr. 36, 171.

    Google Scholar 

  • Chapman, S. and Ferraro, V. C. A.: 1932a,Terr. Magn. Atmos. Electr. 37, 147.

    Google Scholar 

  • Chapman, S. and Ferraro, V. C. A.: 1932b,Terr. Magn. Atmos. Electr. 37, 421.

    Google Scholar 

  • Chapman, S. and Ferraro, V. C. A.: 1933,Terr. Magn. Atmos. Electr. 38, 79.

    Google Scholar 

  • Chapman, S. and Ferraro, V. C. A.: 1940,Terr. Magn. Atmos. Electr. 45, 245.

    Google Scholar 

  • Chapman, S. and Ferraro, V. C. A.: 1941,Terr. Magn. Atmos. Electr. 46, 1.

    Google Scholar 

  • Cummings, W. D. and Coleman, P. J.: 1968,J. Geophys. Res. 73, 5699.

    Google Scholar 

  • Dessler, A. J.: 1968,J. Geophys. Res. 73, 209.

    Google Scholar 

  • Dungey, J. W.: 1961,Phys. Rev. Lett. 6, 47.

    Google Scholar 

  • Ferraro, V. C. A.: 1952,J. Geophys. Res. 57, 15.

    Google Scholar 

  • Ferraro, V. C. A.: 1960,J. Geophys. Res. 65, 3951.

    Google Scholar 

  • Freeman, J. W., Warren, C. S. and Majuire, J. J.: 1968,J. Geophys. Res. 73, 5719.

    Google Scholar 

  • Friis-Christensen, E. and Wilhjelm, J.: 1975,J. Geophys. Res. 80, 1248.

    Google Scholar 

  • Fritz, T. A., Smith, P. H., Williams, D.-J., Hoffman, R. A. and Cahill, L. J.: 1974, in D. E. Page (ed.),Correlated Interplanetary and Magnetospheric Observations, D. Reidel, Dordrecht, p. 485.

    Google Scholar 

  • Galperin, Ju. I., Ponomarev, V. N. and Zosimova, A. G.: 1974,Ann. Géophys. 30, 1.

    Google Scholar 

  • Gonzalez, W. D. and Mozer, F. S.: 1974,J. Geophys. Res. 79, 4186.

    Google Scholar 

  • Green, R. M. and Sweet, P. A.: 1967,Astrophys. J. 147, 1153.

    Google Scholar 

  • Hill, T. W. and Rassbach, M. E.: 1975,J. Geophys. Res. 86, 1.

    Google Scholar 

  • Hones, E. W., Asbridge, J. R., Bame, S. J., Montgomery, M. D., Singer, S. and Akasofy, S.-I.: 1972,J. Geophys. Res. 77, 5503.

    Google Scholar 

  • Hones, E. W., Asbridge, J. R., Bame, S. J. and Singer, S.: 1973,J. Geophys. Res. 78, 5463.

    Google Scholar 

  • Hurley, J.: 1961,Phys. Fluids 4, 854.

    Google Scholar 

  • Intriligator, D. S. and Wolfe, J. H.: 1972,J. Geophys. Res. 77, 5480.

    Google Scholar 

  • Ivanov, K. G.: 1972,Geomagn. Aeronomy 12, 979.

    Google Scholar 

  • Ivanov, K. G.: 1973,Geomagn. Aeronomy 13, 1070.

    Google Scholar 

  • Ivanov, K. G.: 1974,Astrophys. Space Sci. 31, 277.

    Google Scholar 

  • Kamide, Y.: 1974,J. Geophys. Res. 79, 49.

    Google Scholar 

  • Kane, R. P.: 1974,J. Geophys. Res. 79, 64.

    Google Scholar 

  • Kaufmann, R. R. and Konradi, A.: 1973,J. Geophys. Res. 78, 6549.

    Google Scholar 

  • Langel, R. A.: 1975,J. Geophys. Res. 80, 1261.

    Google Scholar 

  • Langel, R. A. and Brown, N.: 1974,Planetary Space Sci. 22, 1611.

    Google Scholar 

  • Ledley, B. J.: 1972,J. Geophys. Res. 76, 6736.

    Google Scholar 

  • Leontjev, S. V. and Lyatsky, W. B.: 1974,Planetary Space Sci. 22, 811.

    Google Scholar 

  • Levy, R. H.: 1964,Phys. Fluids 7, 822.

    Google Scholar 

  • Levy, R. H., Petschek, H. E. and Siscoe, G. L.: 1964,AJAA A. 2, 2065.

    Google Scholar 

  • Lui, A. T. Y., Hones, E. W., Venkatesan, D., Akasofu, S.-I. and Bame, S. J.: 1975,J. Geophys. Res. 80, 929.

    Google Scholar 

  • Madelung, E.: 1957,Die Mathematishen Hilfsmittel des Physikers, Springer-Verlag, Berlin-Göttingen-Heidelberg.

    Google Scholar 

  • Maezava, K.: 1974,Planetary Space Sci. 22, 1443.

    Google Scholar 

  • Mansurov, S. M.: 1969,Geomag. Aeron. 9, 622.

    Google Scholar 

  • Mansurov, S. M., Mansurova, L. G., Mansurov, G. S., Mikhnevich, V. V. and Visotsky, A. M.: 1974,J. Atmospheric Terrestr. Phys. 36, 1957.

    Google Scholar 

  • Mead, G. D.: 1964,J. Geophys. Res. 69, 1181.

    Google Scholar 

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

    Google Scholar 

  • Meng, C.-I. and Colburn, D. S.: 1974,J. Geophys. Res. 79, 1831.

    Google Scholar 

  • Midgley, J. E.: 1964,J. Geophys. Res. 64, 1197.

    Google Scholar 

  • Midgley, J. E. and Davis, L.: 1962,J. Geophys. Res. 67, 499.

    Google Scholar 

  • Midgley, J. E. and Davis, L.: 1963,J. Geophys. Res. 68, 5111.

    Google Scholar 

  • Mihalov, J. D., Colburn, D. S. and Sonett, C. P.: 1970,Planetary Space Sci. 18, 239.

    Google Scholar 

  • Mozer, F. S., Gonzalez, W. D., Bogott, F., Kelley, M. C. and Schutz, S.: 1974,J. Geophys. Res. 79, 56.

    Google Scholar 

  • Neugebauer, M., Russell, C. T. and Smith, E. J.: 1974,J. Geophys. Res. 79, 499.

    Google Scholar 

  • Obayashi, G.: 1968, in I. A. Zhulin and G. A. Skuridin (eds.),Solar-Terrestrial Physics, Moscow, p. 172.

  • Ogilvie, K. W., Scudder, J. D. and Sugiura, M.: 1971,J. Geophys. Res. 76, 3574.

    Google Scholar 

  • Parker, E. N.: 1963,Astrophys. J. Suppl. Ser. 8, 177.

    Google Scholar 

  • Petschek, H. E. and Thorne, R. M.: 1967,Astrophys. J. 147, 1157.

    Google Scholar 

  • Pike, C. P., Meng, C.-I., Akasofu, S.-I. and Whalen, J. A.: 1974,J. Geophys. Res. 79, 5129.

    Google Scholar 

  • Roederer, J. G.: 1974, in D. E. Page (ed.),Correlated Interplanetary and Magnetospheric Observations, D. Reidel, Dordrecht-Boston, p. 257.

    Google Scholar 

  • Rosenbauer, H., Grünwaldt, H., Montgomery, M. P., Pashmann, G. and Schkopke, N.: 1975,J. Geophys. Res. 80, 2723.

    Google Scholar 

  • Russell, C. J., Neugebauer, M. and Kivelson, M. G.: 1974, in D. E. Page (ed.),Correlated Interplanetary and Magnetospheric Observations, D. Reidel, Dordrecht-Boston, p. 139.

    Google Scholar 

  • Samokhin, M. V.: 1970,Kosmich. Issled. 8, 790.

    Google Scholar 

  • Samokhin, M. V.: 1976,Astrophys. Space Sci. 44, 3.

    Google Scholar 

  • Siscoe, G. and Crooker, N. A.: 1974,Geophys. Res. Lett. 1, 17.

    Google Scholar 

  • Schatten, K. and Wilcox, J.: 1967,J. Geophys. Res. 72, 5185.

    Google Scholar 

  • Smirnov, V. I.: 1957,Kurs vischei mathematiki, v. 3, Moscow.

  • Sonnerup, B. U. Ö.: 1971,J. Geophys. Res. 76, 6717.

    Google Scholar 

  • Sonnerup, B. U. Ö. and Cahill, L. G.: 1967,J. Geophys. Res. 72, 171.

    Google Scholar 

  • Sonnerup, B. U. Ö. and Cahill, L. G.: 1968,J. Geophys. Res. 73, 1757.

    Google Scholar 

  • Spreiter, J. R. and Briggs, B. R.: 1962,J. Geophys. Res. 67, 37.

    Google Scholar 

  • Svalgaard, L.: 1974, in D. E. Page (ed.),Correlated Interplanetary and Magnetospheric Observations, D. Reidel, Dordrecht-Boston, p. 61.

    Google Scholar 

  • Unti, T. and Atkinson, G.: 1968,J. Geophys. Res. 73, 7313.

    Google Scholar 

  • Walker, R. C., Villante, U. and Lazarus, A. J.: 1975,J. Geophys. Res. 80, 1238.

    Google Scholar 

  • Willis, D. M.: 1975,Geophys. Roy. Astron. Soc. 41, 355.

    Google Scholar 

  • Wolfe, J. H. and Intriligator, D. S.: 1970,Space Sci. Rev. 10, 511.

    Google Scholar 

  • Zhigulev, V. N.: 1959,Dokl. Akad. Nauk SSSR 126, 521.

    Google Scholar 

  • Zhigulev, V. N. and Romishevsky, E. A.: 1959,Dokl. Akad. Nauk SSSR 127, 1001.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Radiotechnical Institute, USSR Academy of Sciences, 125083, Moscow, USSR

    M. V. Samokhin

Authors
  1. M. V. Samokhin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Samokhin, M.V. On some problems concerning the calculation of the form of the magnetopause and the electric field on the magnetopause in the framework of the continuum medium model. Astrophys Space Sci 62, 159–183 (1979). https://doi.org/10.1007/BF00643910

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00643910

Keywords

Search

Navigation