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Coronal holes and icosahedral symmetry

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Abstract

In continuation of our study of the application of group theory to the problem of solar wind expansion out of a system of coronal holes, this third paper deals with the formulation and subsequent numerical integration of the basic hydrodynamic equations. After calculating the metric coefficients and the corresponding Christoffel symbols, a description of a numerical procedure exploiting icosahedral symmetry and solutions of the equations are presented for several sets of boundary conditions. The properties of the resulting time-independent three-dimensional fields of number density, velocity and temperature of the solar wind are discussed, and the significance of such solutions, in particular for periods of solar activity maxima, is pointed out.

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References

  • Antonucci, E., Giordano, S. and Dodero, M.A.: 2000, Adv. Space Res. 25, 1923.

    Article  ADS  Google Scholar 

  • Balogh, A., Marsden, R.G. and Smith, E.J.: 2001, The Heliosphere at Solar Minimum: The Ulysses Perspective, Springer-Praxis Books in Astrophysics and Astronomy.

  • Bird, M.K. and Edenhofer, P.: 1990, in: R. Schwenn and E. Marsch (eds.), Physics of the Inner Heliosphere I, Springer-Verlag, 13.

  • Bocchialini, K. and Vial, J.-C.: 1996, Sol. Phys. 168, 37.

    Article  ADS  Google Scholar 

  • Chen, Y. and Hu, Y.Q.: 2001, Sol. Phys. 199, 371.

    Article  ADS  Google Scholar 

  • Cranmer, S.R.: 2000, Astrophys. J. 532, 1197.

    Article  ADS  Google Scholar 

  • Czechowski, A., Ratkiewicz, R., McKenzie, J.F. and Axford, W.I.: 1998, Astron. Astrophys. 335, 303.

    ADS  Google Scholar 

  • Domingo, V., Fleck, B. and Poland, A.I.: 1994, Space Sci. Rev. 70, 7.

    Article  ADS  Google Scholar 

  • Dryer, M., Smith, Z.K. and Wu, S.T.: 1988, Astrophys. Space Sci. 144, 407.

    ADS  Google Scholar 

  • Dryer, M.: 1994, Space Sci. Rev. 67, 363.

    Article  ADS  Google Scholar 

  • Esser, R. and Habbal, S.R.: 1995, Geophys. Res. Lett. 22, 2661.

    Article  ADS  Google Scholar 

  • Fichtner, H. and Fahr, H.J.: 1989, Planet. Space Sci. 37, 987.

    Article  ADS  Google Scholar 

  • Fichtner, H., Vormbrock, N. and Sreenivasan, S.R.: 2000, Adv. Space Res. 25, 1935.

    Article  ADS  Google Scholar 

  • Fleck, B., Noci, G. and Poletto, G.: 1994, Space Sci. Rev. 70, xvii.

    Article  Google Scholar 

  • Hansteen, V.H., Leer, E. and Holzer, T.E.: 1997, Astrophys. J. 482, 498.

    Article  ADS  Google Scholar 

  • Hu, Y.Q. and Low, B.C.: 1989, Astrophys. J. 342, 1049.

    Article  ADS  Google Scholar 

  • Kalisch, H.: 1999, Ph.D. thesis, University of Bonn.

  • Lang, K.R.: 2000, The Sun from Space, Springer-Verlag.

  • Low, B.C.: 1988, in: V.J. Pizzo, T.E. Holzer and D.G. Sime (eds.), NCAR/TN-306+Proc, 113.

  • Low, B.C. and Tsinganos, K.: 1986, Astrophys. J. 302, 163.

    Article  ADS  Google Scholar 

  • Marsch, E. and Tu, C.-Y.: 1997, Astron. Astrophys. 319, L17.

    ADS  Google Scholar 

  • Marsch, E., Schwenn, R., Antonucci, E., Bochsler, P., Bougerel, J.-L., Fleck, B., Harrison, R., Marsden, R. and Vial, J.-C.: 2000, IAU Symp. 203, 177.

    Google Scholar 

  • Marsden, R.G.: 1995, The High Latitude Heliosphere, Space Sci. Rev. 72, xi.

    Article  Google Scholar 

  • Marsden, R.G.: 1996, Space Sci. Rev. 78, 67.

    Article  ADS  Google Scholar 

  • McKenzie, J.F., Banaszkiewicz, M. and Axford, W.I.: 1995, Astron. Astrophys. 303, L45.

    ADS  Google Scholar 

  • McKenzie, J.F. and Axford, W.I.: 1997, Origin of the Fast Solar Wind, in: J.R. Jokipii, C.P. Sonnett and M.S. Giampaga (eds.), Cosmic Winds and the Heliosphere, Univ. Arizona Press.

  • Mikic, Z., Linker, J.A., Schnack, D.D., Lionello, R. and Tarditi, A.: 1999, Phys. Plasmas 6, 2217.

    Article  ADS  Google Scholar 

  • Möbius, E., Gloeckler, G., Fisk, L. and Mewaldt, R.: 2000, in: K. Scherer, H. Fichtner and E. Marsch (eds.), The Outer Heliosphere: Beyond the Planets, 357.

  • Neugebauer, M.: 1994, Space Sci. Rev. 70, 319.

    Article  ADS  Google Scholar 

  • Neutsch, W.: 1988, Coordinates, Walter deGruyter.

  • Neutsch, W. and Fichtner, H.: 1988, Sol. Phys. 115, 161 (paper I).

    Article  ADS  Google Scholar 

  • Neutsch, W. and Scherer, K.: 1992, Cel. Mech., Bibliographisches Institut.

  • Neutsch, W., Kalisch, H., Fichtner, H., Sreenivasan, S.R. and Shevalier, M.: 2003, Astrophys. Space Sci. 285, Issue 4, 1017.

    Google Scholar 

  • Ogawara, Y., Takano, T., Kato, T., Kosugi, T., Tsuneta, S., Watanabe, T., Kondo, I. and Uchida, Y.: 1991, Sol. Phys. 136, 1.

    Article  ADS  Google Scholar 

  • Osherovich, V.A., Gliner, E.B., Tzur, I. and Kuhn, M.L.: 1985, Sol. Phys. 97, 51.

    Article  Google Scholar 

  • Parker, E.N.: 1958, Astrophys. J. 128, 664.

    Article  ADS  Google Scholar 

  • Parker, E.N.: 1963, Interplanetary Dynamical Processes, Interscience Publishers, New York.

    Google Scholar 

  • Pneumann, G.W. and Kopp, A.: 1971, Sol. Phys. 18, 258.

    Article  ADS  Google Scholar 

  • Riley, P., Linker, J.A. and Mikic, Z.: 2001, J. Geophys. Res. 106, 15889.

    Article  ADS  Google Scholar 

  • Robertson, B.J.: 1983, Sol. Phys. 83, 63.

    Article  ADS  Google Scholar 

  • Rusin, V., Heinzel, P. and Vial, J.-C.: 1994, Solar Coronal Structures, IAU Coll. 144, VEDA Publishing House.

  • Sakurai, T.: 1985, Astron. Astrophys. 152, 121.

    MATH  ADS  Google Scholar 

  • Sanchez-Ibarra, A. and Barraza-Paredes, M.: 1995, UAG-Report 102, 1.

    Google Scholar 

  • Schultz, C.G.: 1994, Space Sci. Rev. 70, 233.

    Article  ADS  Google Scholar 

  • Strong, K.T. and the Yohkoh Team: 1994, Space Sci. Rev. 70, 133.

    Article  ADS  Google Scholar 

  • Suess, S.: 2000, Adv. Space Res. 26, 761.

    Article  ADS  Google Scholar 

  • Tsinganos, K. and Low, B.C.: 1989, Astrophys. J. 342, 1028.

    Article  ADS  Google Scholar 

  • Tu, Y.-C. and Marsch, E.: 1997, Sol. Phys. 171, 363.

    Article  ADS  Google Scholar 

  • Tu, Y.-C. and Marsch, E.: 2001, J. Geophys. Res. 106, 8233.

    Article  ADS  Google Scholar 

  • Usmanov, A.V.: 1993, Sol. Phys. 148, 371.

    Article  ADS  Google Scholar 

  • Usmanov, A.V., Goldstein, M.L., Besser, B.P. and Fritzer, J.M.: 2000, J. Geophys. Res. 105, 12675.

    Article  ADS  Google Scholar 

  • Weber, E.J. and Davis, L., Jr.: 1967, Astrophys. J. 148, 217.

    Article  ADS  Google Scholar 

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Kalisch, H., Neutsch, W., Fichtner, H. et al. Coronal holes and icosahedral symmetry. Astrophysics and Space Science 288, 445–469 (2003). https://doi.org/10.1023/B:ASTR.0000005090.40916.d1

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