Изгибные колебания несимметричных корональных арок
The natural oscillations of coronal loops with constant density and variable magnetic fields varying parabolically are investigated. Using the method developed by the authors the wave equations with constant coefficients, describing kink oscillations of symmetric and asymmetric magnetic tubes, are obtained. For these models, analytical expressions for the spectra and amplitudes of oscillations, as well as the magnitude and the direction of the main and first modes extrema shifts with regard to their values for homogeneous tubes, are obtained. For the first mode of the asymmetric loop the dependence of the internal node coordinate on the ratio of the values of magnetic field in the asymmetric parts, as well as the ratio of the amplitudes at the extrema points, are determined.