A numerical method to compute Euler potentials for non dipolar magnetic fields

Annales Geophysicae

Volumn 17, Issue 3, 1999, Pages 328-337

  Peymirat, C ^a   Fontaine, D ^a  

^a SERVICE D AÉRONOMIE DU CNRS   (France)

Author keywords

Ionosphere (ionosphere magnetosphere interactions; modeling and forecasting); Magnetospheric physics (plasma convection)

Indexed keywords

EID: 0033416407     PISSN: 09927689     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00585-999-0328-6     Document Type: Article

References (30)

1. Antonova, E. E., and N. Y. Ganyushkina, On deciding on the coordinate system for describing magnetostatically equilibrated regions of the magnetosphere, Geomagn. Aeron., 34, 479-486, 1995.
2. Antonova, E. E., and N. Y. Ganushkina, Azimuthal hot plasma pressure gradients and dawn-dusk electric field formation, Preprint 96-4/411, Skobeltsyn Institute of Nuclear Physics Moscow State University, Moscow 1996.
3. Antonova, E. E., and N. Y. Ganushkina, Azimuthal hot plasma pressure gradients and dawn-dusk electric field formation, J. Atmos. Solar-Terr. Phys., 59, 1343-1354, 1997.
4. Boström, R., Mechanisms for driving Birkeland currents, in Physics of the Hot Plasma in the Magnetosphere, Ed. B. Hultqvist., Plenum Press, N. Y., 314-365, 1975.
5. Cheng, C. Z., Three-dimensional magnetospheric equilibrium with isotropic pressure, Geophys. Res. Lett., 22, 2401-2404, 1995.
6. Donovan, E. F., Modeling the Magnetic effects of field-aligned currents, J. Geophys. Res., 98, 13 529-13 543, 1993.
7. Hilmer, R. V., and G. H. Voigt, A magnetospheric magnetic field model with flexible current systems driven by independent physical parameters, J. Geophys. Res., 100, 5613-5626, 1995.
8. Ho, C. W., T. S. Huang, and S. Gao, Contributions of the high-degree multipoles of Neptune's magnetic field: an Euler potentials approach, J. Geophys. Res, 102, 24 393-24 401, 1997.
9. Khurana, K. K., Euler potential models of Jupiter's magnetospheric field, J. Geophys. Res., 102, 11 295-11 306, 1997.
10. Kullen, A., and L. G. Blomberg, The influence of IMF By on the mapping between the Earth's magnetotail and its ionosphere, Geophys. Res. Lett., 18, 2561-2564, 1996.
11. Lui, A. T. Y., H. E. Spence, and D. P. Stern, Empirical modeling of the quiet time nightside magnetosphere, J. Geophys. Res., 99, 151-157, 1994.
12. Mead, G. D., Deformation of the geomagnetic field by the solar wind, J. Geophys. Res., 69, 1181-1195, 1964.
13. Ostapenko, A. A., and Y. P. Maltsev, Relation of the magnetic field in the magnetosphere to the geomagnetic and solar wind activity, J. Geophys. Res., 102, 17 467-17 473, 1997.
14. Peredo M., D. P. Stern, and N. A. Tsyganenko, Are existing magnetospheric models excessively stretched, J. Geophys. Res., 98, 15 343-15354, 1993.
15. Peymirat, C., and D. Fontaine, Relationships between field-aligned currents and convection observed by EISCAT and implications concerning the mechanism that produces region-2 currents: statistical study, Ann. Geophysicae, 12, 304-315, 1994a.
16. Peymirat, C., and D. Fontaine, Numerical simulation of magnetospheric convection including the effect of field-aligned currents and electron precipitation, J. Geophys. Res., 99, 11 155-11 176, 1994b.
17. Pulkkinen, T. I., D. N. Baker, P. K. Toivanen, R. J. Pellinen, R. H. W. Friedel, and A. Korth, Magnetospheric field and current distributions during the substorm recovery phase, J. Geophys. Res., 99, 10 955-10 966, 1994.
18. Skone, S. H., E. F. Donovan, and G. Rostoker, Characterizing the quiet time magnetic field at geostationary orbit, J. Geophys. Res., 100, 23 583-23 596, 1995.
19. Stern, D. P., Geomagnetic Euler potentials, J. Geophys. Res., 72, 3995-4005, 1967.
20. Stern, D. P., Euler potentials. Am. J. Phys., 38, 494-501, 1970.
21. Stern, D. P., Representation of magnetic fields in Space, Rev. Geophys., 14, 199-214, 1976.
22. Stern, D. P., Tail modeling in a stretched magnetosphere, 1., methods and transformations, J. Geophys. Res., 92, 4437-4448, 1987.
23. Stern, D. P., Euler potentials of current-free fields expressed in spherical harmonics, J. Geophys. Res., 99, 2443-2445, 1994a.
24. Stern, D. P., The art of mapping the magnetosphere, J. Geophys. Res., 99, 17 169-17 198, 1994b.
25. Tsyganenko, N. A., Global quantitative models of the geomagnetic field in the cislunar magnetosphere for different disturbance levels, Planet. Space Sci., 35, 1347-1358, 1987.
26. Tsyganenko, N. A., A magnetospheric magnetic field model with a warped tail current sheet. Planet. Space Sic., 37, 15-20, 1989.
27. Tsyganenko, N. A., Modeling the Earth's magnetospheric magnetic field confined within a realistic magnetopause, J. Geophys. Res., 100, 5599-5612, 1995.
28. Tsyganenko, N. A., Effects of the solar wind conditions on the global magnetospheric configurations as deduced from data-based field models, in Proceedings of the ICS-3 Conference, Versailles, France, May 12-17, 1996, ESA SP-389, pp. 181-185, 1996.
29. Tsyganenko N. A., An empirical model of the substorm current wedge, J. Geophys. Res., 102, 19 935-19 941, 1997.
30. Tsyganenko, N. A., and D. P. Stern, Modeling the global magnetic field of the large-scale Birkeland current systems, J. Geophys. Res., 101, 27 187-27 198, 1996.