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Flux Ropes Embedded In A Radial Magnetic Field: Analytic Solutions For The External Magnetic Field

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Abstract

We present a new exact solution of the magnetostatic equations, describing a flux rope embedded in a radial magnetic field. Its axis is perpendicular to the radial direction and parallel to the ecliptic plane and it has a radius r 0 and an arbitrary angular distance θ0 to the polar axis of the Sun. We outline the general method of how one can gain a new solution of the magnetostatic equations by rotating the vector potential of a known solution by an angle θ0 in the r−θ plane. Using the flux-rope solution, a construction procedure for an approximate solution which describes a torus around the polar axis and which is embedded in a radial magnetic field is given. The method has considerable potential as a tool for initializing numerical simulations.

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References

  • Cargill, P. J., Chen, J., Spicer, D. S., and Zalesak, S. T.: 1996, J. Geophys. Res. 101, 4855.

    Google Scholar 

  • Cargill, P. J., Schmidt, J. M., Spicer, D. S., and Zalesak, S. T.: 2000, J. Geophys. Res. 105, 7509.

    Google Scholar 

  • Chou, Y. P. and Low, B. C.: 1994, Solar Phys. 153, 255.

    Google Scholar 

  • Crooker, N. U., Joselyn, J. A., and Feynmann, J. (eds.): 1997, Coronal Mass Ejections, AGU Monograph 99, AGU, Washington D.C.

    Google Scholar 

  • Detman, T. R., Dryer, M., Yeh, T., Hun, S. M., Wu, S. T., and McComas, D. J.: 1991, J. Geophys. Res. 96, 9531.

    Google Scholar 

  • Erkaev, N. V., Farrugia, C. J., Biernat, H. K., Burlaga, L. F., and Bachmaier, G. A.: 1995, J. Geophys. Res. 100, 19,919.

    Google Scholar 

  • Gibson, S. E. and Low, B. C.: 1998, Astrophys. J. 493, 460.

    Google Scholar 

  • Gold, T. and Hoyle, F.: 1960, Mon. Notices Royal Astron. Soc. 120, 89.

    Google Scholar 

  • Guo, W. P., Wu, S. T., and Tandberg-Hanssen, E.: 1996, Astrophys. J. 469, 944.

    Google Scholar 

  • Hundhausen, A. J.: 1993, J. Geophys. Res. 98, A8, 13,177.

    Google Scholar 

  • Pneuman, G. W.: 1983, Astrophys. J. 265, 483.

    Google Scholar 

  • Schmidt, J. M. and Cargill, P. J.: 2000, J. Plasma Phys., in press.

  • Vandas, M., Fischer, S., Dryer, M., Smith, Z., and Detman, T.: 1995, J. Geophys. Res. 100, 12,285.

    Google Scholar 

  • Vandas, M., Fischer, S., Dryer, M., Smith, Z., and Detman, T.: 1996, J. Geophys. Res. 101, 2505.

    Google Scholar 

  • Wu, S. T., Guo, W. P., and Wang, J. F.: 1995, Solar Phys. 157, 325.

    Google Scholar 

  • Wu, S. T., Guo, W. P., and Dryer, M.: 1997, Solar Phys. 170, 265.

    Google Scholar 

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  1. Space and Atmospheric Physics, The Blackett Laboratory, Imperial College, London, SW7 2BZ, England

    Joachim M. Schmidt

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  1. Joachim M. Schmidt
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Schmidt, J.M. Flux Ropes Embedded In A Radial Magnetic Field: Analytic Solutions For The External Magnetic Field. Solar Physics 197, 135–148 (2000). https://doi.org/10.1023/A:1026547911807

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