One-armed oscillations of a non-selfgravitating polytropic disk

Details One-armed oscillations of a non-selfgravitating polytropic disk One-armed oscillations of a non-selfgravitating polytropic disk

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.119..109o&link_type=abstract

(IAU, Asian-Pacific Regional Meeting, 3rd, Kyoto, Japan, Sept. 30-Oct. 5, 1984) Astrophysics and Space Science (ISSN 0004-640X),

Astronomy and Astrophysics

Astrophysics

Accretion Disks, Polytropic Processes, Rotating Matter, Stellar Oscillations, Adiabatic Conditions, Perturbation Theory, Vibration Mode

Scientific paper

In the present investigation of 'one-armed' global oscillations in a nonself-gravitating polytropic disk rotating around a star, the unperturbed disk is axisymmetric and geometrically thin, extending infinitely in the radial direction while maintaining constant thickness. Consideration of inviscid and adiabatic perturbations leads to the discovery of one-armed retrograde wave modes trapped in an inner region of the disk. An expression is obtained for the eigenfrequency of the lowest order mode whose parameters encompass the radius of the central star, the half-thickness of the disk, and the Keplerian angular frequency at the surface of the star.

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