Ballooning modes in the inner magnetosphere of the Earth with finite ionospheric conductivity

1Cheremnykh, OK, 1Parnowski, AS
1Space Research Institute of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, Kyiv, Ukraine
Kosm. nauka tehnol. 2004, 10 ;(5-6):082-085
https://doi.org/10.15407/knit2004.05.082
Publication Language: Russian
Abstract: 
We investigate the problem of generation of MHD ballooning eigenperturbations in the inner magnetosphere of the Earth in the dipole geometry of the geomagnetic field with consideration for the ionospheric boundary conditions. The ionosphere is supposed to be a thin layer with finite conductivity. We put the particular attention to the study of the influence of ionospheric conductivity on the stability of the above-mentioned perturbations. It is demonstrated that in the case of insulating ionosphere flute perturbations are generated. An analytical instability criterion for the perturbations is derived. When the ionosphere is conductive, unstable MHD perturbations are provided mostly by ballooning modes. Their instability criterion is stricter than that of flute modes. In the case of resistive ionosphere, stable toroidal Alfven waves are slowly decaying.
References: 
1. Cheremnykh O. K., Burdo O. S., Kremenetsky I. A., Parnowski A. S. To the theory of the MHD waves in the inner magnetosphere of the Earth. Kosm. nauka tehnol., 7 (5-6), 44—63 (2001) [in Russian].
2. Cheng C. Z., Chang T. C., Lin C. A., Tsai W. H. Magnetohydrodynamic theory of field line resonances in the magnetosphere. J. Geophys. Res., 98 (A7), 11339—11347 (1993).
3. Cheremnykh O. K., Parnowski A. S. The theory of ballooning perturbations in the inner magnetosphere of the Earth. Adv. Space Res., 33 (5), 769—773 (2004).
4. Gold T. Motions in the magnetosphere of the Earth. J. Geophys. Res., 64, 1219—1226 (1959).
5. Hameiri E. The equilibrium and stability of rotating plasmas. Phys. Fluids, 26, 230—241 (1983).
6. Hameiri E. Ballooning modes on open magnetic field lines. Phys. Plasmas, 6 (3), 674—685 (1999).
7. Hasegawa A., Sato T. Space plasma physics. 1. Stationary Processes, 165—170 (Springer-Verlag, 1989).