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Non-axisymmetric Unstable Modes in a Thin Differentially Rotating Gaseous Disk

Author

Listed:
  • M.H.M. HEEMSKERK

    (Astronomical Institute “Anton Pannekoek”, University of Amsterdam, Kruislaan 403, 1098 SJ Amsterdam, The Netherlands)

  • G.J. SAVONIJE

    (Astronomical Institute “Anton Pannekoek”, University of Amsterdam, Kruislaan 403, 1098 SJ Amsterdam, The Netherlands)

Abstract

We consider the linear stability of a thin differentially rotating gaseous disc with reflecting boundaries against non-axisymmetric perturbations. We assume the unperturbed disc to be in centrifugal equilibrium with the gravitational attraction of a central massM, and consider discs whose mass can be neglected relative toM. We discuss the relevant conservation laws for the energy and angular momentum of linear non-axisymmetric modes in a thin rotating disc without self-gravity and illustrate the basic mode amplification mechanisms with help of some of our numerical solutions [1].

Suggested Citation

  • M.H.M. Heemskerk & G.J. Savonije, 1991. "Non-axisymmetric Unstable Modes in a Thin Differentially Rotating Gaseous Disk," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 367-370.
    • Handle: RePEc:wsi:ijmpcx:v:02:y:1991:i:01:n:s0129183191000500
    DOI: 10.1142/S0129183191000500
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