Kink and fluting modes of stratified coronal magnetic loops with elliptical crosssections
Abstract
Aims: We study kink and fluting oscillations of a straight magnetic tube with an elliptic crosssection and density varying along the tube.
Methods: The governing equations for kink and fluting modes in the thin tube approximation are derived. We found that there are two kink modes, polarised along the semimajor and semiminor axes of the elliptic crosssection. We have shown that the ratio of frequencies of the first overtone and fundamental mode is the same for both kink modes and independent of the ratio of the ellipse axes.
Results: On the basis of this result we concluded that the estimates of the atmospheric scale height obtained using simultaneous observations of the fundamental mode and first overtone of the coronal loop kink oscillations are independent of the ellipticity of the loop crosssection.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 March 2011
 DOI:
 10.1051/00046361/201016028
 arXiv:
 arXiv:1011.2377
 Bibcode:
 2011A&A...527A..53M
 Keywords:

 magnetohydrodynamics (MHD);
 plasmas;
 Sun: corona;
 Sun: oscillations;
 waves;
 Astrophysics  Solar and Stellar Astrophysics
 EPrint:
 doi:10.1051/00046361/201016028