Ioffe Institute
UDC 53
UDC 520
UDC 521
UDC 523
UDC 524
UDC 52-1
UDC 52-6
CSCSTI 41.00
CSCSTI 29.35
CSCSTI 29.31
CSCSTI 29.33
CSCSTI 29.27
CSCSTI 29.05
Russian Classification of Professions by Education 03.06.01
Russian Classification of Professions by Education 03.05.01
Russian Classification of Professions by Education 03.04.03
Russian Library and Bibliographic Classification 2
Russian Library and Bibliographic Classification 223
Russian Trade and Bibliographic Classification 614
Russian Trade and Bibliographic Classification 6135
BISAK SCI004000 Astronomy
BISAK SCI005000 Physics / Astrophysics
We found the dispersion equation for magnetohydrodynamic kink oscillations of a force-free magnetic flux rope with uncompensated longitudinal electric current under the conditions of the solar corona using the energy method and the thin magnetic flux tube approximation. It is shown that the eigenfunctions, along with the eigenvectors, impose additional restrictions on the stability conditions of the kink instability of a flux rope. This allows us to obtain not only the necessary, but also a sufficient condition for stability. The observed weak twist of coronal loops with a small (< 2–3) number of the turns of magnetic field lines around the axis indicates the dominance of unshielded magnetic flux rope in the corona of the Sun, in which the longitudinal electric currents do not exceed
magnetohydrodynamics (MHD), Sun: corona, flares, coronal mass ejections (CMEs), oscillations
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