Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.245..614l&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Vol. 245, NO.4/AUG15, P. 614, 1990
Astronomy and Astrophysics
Astronomy
5
Scientific paper
We investigate the dynamical stability of differentially rotating, self-gravitating, homogeneous masses. Besides the classical bar-like instability we obtain a new nonaxisymmetric Kelvin-Helmholtz-like instability which resembles the Papaloizou-Pringle instability in shearing accretion tori. We define the flattening parameter, f as the ratio of the polar to the equatorial radius. The growth-rate curve can be divided into two components. For low angular velocities (f& le; 1), the instability grows on a linear time-scale. The growth rate then rises towards a peak value. This occurs near the point where the uniformly rotating Maclaurin sequence exhibits a non-axisymmetric bifurcation point. For m = 2 this is the Jacobi bifurcation point. The instability is reduced for small values of f due to the stabilizing effect of the gravitational force. The results are almost independent of the form of the rotation law. Maximum instability occurs for intermediate values of m. A comparison is made with results obtained in the absence of self-gravitation. We discuss possible implications on stellar evolution theory.
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