One-armed oscillations of a non-selfgravitating polytropic disk |
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Authors: | Atsuo T. Okazaki Shoji Kato |
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Affiliation: | (1) Department of Astronomy, University of Kyoto, Sakyo-ku, Kyoto, Japan |
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Abstract: | One-armedglobal oscillations in a non-selfgravitating polytropic disk rotating around a star are investigated. The unperturbed disk is axisymmetric, geometrically thin, and extends infinitely in the radial direction keeping its thickness constant. Perturbations considered are inviscid and adiabatic. It is found that there are one-armed retrograde wave modes which are trapped in an inner region of the disk. The eignefrequency of the lowest order mode is given by ![mid](/content/w75x86xr617078u2/xxlarge8739.gif) ![ohgr](/content/w75x86xr617078u2/xxlarge969.gif) ![mid](/content/w75x86xr617078u2/xxlarge8739.gif) ![lap](/content/w75x86xr617078u2/xxlarge8818.gif) K(rs)(z0/rs)2, wherers is the radius of the central star,z0 is the half-thickness of the disk, and K(rs) is the Keplerian angular frequency at the surface of the star.Paper presented at the IAU Third Asian-Pacific Regional Meeting, held in Kyoto, Japan, between 30 September–6 October, 1984. |
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