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Propagation of waves in polytropic disks Horák, Jiří We derive an analytic dispersion relation for waves in three-dimensional polytropic disks. The problem can be separated to two one-dimensional problems of radial and vertical wave propagation. For the vertical problem, we use and generalize first-order perturbation method for waves near the vertical resonance introduced previously by several authors. Based on comparison of the analytical solutions with numerical integration, we find a surprisingly large region of validity of our dispersion relation including both p-mode and g-mode oscillations. Detailed record

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