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

M.H.M. Heemskerk and G.J. Savonije
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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

International Journal of Modern Physics C (IJMPC), 1991, vol. 02, issue 01, 367-370

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].

Date: 1991
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DOI: 10.1142/S0129183191000500

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