Resonantly damped coronal loop oscillations

Our Sun is much closer to us than any other star. There are approximately 200 billion Sun-like stars in the Milky Way alone. Observing and studying the Sun could get us closer to understanding processes and events occurring on other stars. In our study we consider analytically the motion of an inhomogeneous loop in the solar corona. A loop is modelled by a straight cylindrical magnetic flux tube with its edges frozen in dense photospheric plasma. To simplify the problem we use the cold plasma approximation and consider the tube to be thin. In its equilibrium state the tube is permeated by a homogeneous magnetic field directed along the tube. We include an effect of stratification in our model supposing that plasma density varies along the tube. There is also density inhomogeneity in the radial direction confined to a layer with thickness much smaller than the radius of the tube. Considering the system of linearized ideal MHD equations we study the dependence of the spectrum of tube oscillations and its damping due to resonant absorption on the parameters of the unperturbed state.