Abstract
Transverse oscillations of coronal magnetic loops are routinely observed
during the space missions. Since the first observation these
oscillations were interpreted in terms of kink oscillations of magnetic
tubes. Sometimes collective oscillations of two or more coronal loops
are observed. This makes the development of theory of collective
oscillations of a few parallel magnetic tubes desirable. Another reason
for the development of this theory is that there are evidences that at
least some coronal loops are not monolithic but consist of many thin
magnetic threads. In this paper the linear theory of kink oscillations
of two parallel magnetic tubes with the density varying along the tubes
is developed. The asymptotic method is used to derive the system of
equations governing the collective kink oscillations of two tubes. This
system is used to study the effect of density variation on the
eigenfrequencies of collective oscillations. The implication of the
obtained results on coronal seismology is discussed.
Original language | English |
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Article number | A33 |
Journal | Astronomy and Astrophysics |
Volume | 515 |
DOIs | |
Publication status | Published - 01 Jun 2010 |