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arXiv · 1909.04880

Oscillations of coronal loops using Rayleigh-Ritz technique

N. Fathalian·H. Safari·S. Nasiri
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Abstract

In this paper, we apply the Rayleigh-Ritz Variational Scheme for studying the transverse oscillations of a magnetic flux tube. The flux tube is considered in low-$β$ solar coronal condition. The perturbations decomposed into irrotational and solenoidal components and MHD equations are reduced as a matrix eigenvalue problem. In the case of longitudinally stratified thin flux tube, the fundamental and higher order kink frequencies are computed. The results are in good agreements with previous studies.

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N. Fathalian, H. Safari, S. Nasiri. 2019-09-11. Oscillations of coronal loops using Rayleigh-Ritz technique. https://doi.org/10.1016/j.newast.2009.11.008

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