Stellar Acoustic Ray Patterns
We have analysed and attempted to classify the acoustic ray patterns in stars whose equilibrium figure is globally deformed. We discuss here the effect of distortions of ellipsoidal and pear-shaped structure. Under ellipsoidal symmetry all ray patterns remain ‘regular’. For arbitrarily small pear-shaped deformations our numerical results indicate the occurrence of ‘chaotic’ ray patterns arising out of the unstable longest diameter ray. These chaotic rays cover the whole configuration space.
KeywordsSpherical Symmetry Generic Hamiltonian System Distant Star Finite Distortion Ellipsoidal Symmetry
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