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One-Armed Oscillations of a Non-Selfgravitating Polytropic Disk

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Abstract

One-armed global 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 eigenfrequency ω of the lowest order mode is given by ∣ω∣ ≲ ΩK(r s) (z 0/r s)2, where r s is the radius of the central star, z 0 is the half-thickness of the disk, and ΩK(r s) is the Keplerian angular frequency at the surface of the star.

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© 1986 D. Reidel Publishing Company

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Okazaki, A.T., Kato, S. (1986). One-Armed Oscillations of a Non-Selfgravitating Polytropic Disk. In: Kitamura, M., Budding, E. (eds) Third Asian-Pacific Regional Meeting of the International Astronomical Union. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4630-9_25

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  • DOI: https://doi.org/10.1007/978-94-009-4630-9_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8558-8

  • Online ISBN: 978-94-009-4630-9

  • eBook Packages: Springer Book Archive

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