On the polarization of transversally small-scale MHD modes in the Earth’s magnetosphere

1Cheremnykh, SO
1Space Research Institute of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, Kyiv, Ukraine
Kosm. nauka tehnol. 2013, 19 ;(4):57–64
https://doi.org/10.15407/knit2013.04.057
Section: Space and Atmospheric Physics
Publication Language: Ukrainian
Abstract: 

We present a theoretical analysis of polarization properties of transversally small-scale ultra-low-frequency MHD eigenmode perturbations in the dipolar magnetic field. A set of equations is derived describing Alfvén modes with intermediate polarization. In the toroidal and poloidal limits the set of equations reduces to previously derived sets. One of the obtained equations describes the ballooning instability.

Keywords: Alfvén modes, Earth’s magnetosphere, intermediate polarization
References: 
1. Agapitov A. V., Parnowski A. S., Cheremnykh O. K. Spectrum of transversally small-scale perturbations in the inner Earth's magnetosphere, Kinematics Phys. Celestial Bodies, 22 (6), 387 —401 (2006) [in Russian].
2. Agapitov O. V., Cheremnykh O. K. Polarization of ULF waves in the Earth's magnetosphere, Kinematics Phys. Celestial Bodies, 27 (3), 17—27 (2011) [in Russian].
https://doi.org/10.3103/S0884591311030020 
3. Mazur N.G., Fedorov E.N., Pilipenko V.A. Dispersion relation for ballooning modes and condition of their stability in the near-earth plasma, Geomagnetism and Aeronomy, 52 (5), 639—648 (2012) [in Russian].
https://doi.org/10.1134/s0016793212050118 
4. Parnowski A. S., Cheremnykh O. K. Spectrum of ballooning perturbations with arbitrary polarization in the inner magnetosphere of the Earth, Kosm. nauka tehnol., 12 (1), 49—56 (2006) [in Russian].
5. Agapitov A. V., Cheremnykh O. K., Parnowski A. S. Ballooning perturbations in the inner magnetosphere of the Earth: spectrum, stability and eigenmode analysis, Adv. Space Res., 41 (10), 1682—1687 (2008).
https://doi.org/10.1016/j.asr.2006.12.040 
6. 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), P. 11339—11347 (1993).
https://doi.org/10.1029/93JA00505 
7. Cheremnykh O.  K., Danilova V. V. Transversal small-scale MHD perturbations in space plasma with magnetic surfaces,  Kinematics Phys. Celestial Bodies27 (2), 98—108 (2011).
https://doi.org/10.3103/S0884591311020036
8. Cheremnykh O. K., Parnowski A. S., Burdo O. S. Ballooning modes in the inner magnetosphere of the Earth,  Planet. Space Sci.  55 (13), 1217—1229 (2004).
https://doi.org/10.1016/j.pss.2004.07.014
9. Cheremnykh S. O., Agapitov O. V. MHD waves in the plasma system with dipole magnetic field configuration,  Adv. Astron. Space Phys., 2, 103—106 (2012).
10. Hameiri E., Kivelson M. G. Magnetospheric Waves and the Atmosphere-Ionosphere Layer,  J. Geophys. Res., 96 (A12), 21125—21134 (1991).
https://doi.org/10.1029/91JA02129 
11. Hameiri E., Laurence P., Mond M. The ballooning instability in space plasmas,  J. Geophys. Res., 96, 1513—1518 (1991).
https://doi.org/10.1029/90JA02100 
12. Klimushkin D. Yu. Theory of azimutally small-scale hydromagnetic waves in the axisymmetric magnetosphere with finite plasma pressure, Ann. geophys., 16, 303—321 (1998).
https://doi.org/10.1007/s00585-998-0303-7
13. Parnowski A. S. Eigenmode analysis of ballooning perturbations in the inner magnetosphere of the Earth,  Ann. geophys., 25 (1), 1391—1403 (2007).
https://doi.org/10.5194/angeo-25-1391-2007
14. Pokhotelov O. A., Pilipenko V. A. Drift anisotropy instability of finite-β,   Planet. Space Sci., 33, 1229—1241 (1985).
https://doi.org/10.1016/0032-0633(85)90001-7

15. Stewart B. On the great magnetic disturbance which extended from August 28 to September 7, 1859, as recorded by photography at the Kew Observatory,  Phil. Trans. Roy. Soc., 151, 423—430 (1861).