Epicyclic oscillation modes of a Newtonian, non-slender torus

摘要

All normal modes of oscillations of slender tori have been expressed analytically in the classic work by Blaes (1985). We adopt his approach in order to calculate the eigenfunctions and eigenfrequencies of a particular class of epicyclic modes for slightly non-slender tori, and present results of our numerical simulation of torus epicyclic modes of oscillations, which will be compared with the analytical results.