The secular instability of slightly viscous magnetic Maclaurin spheroids

Details The secular instability of slightly viscous magnetic Maclaurin spheroids The secular instability of slightly viscous magnetic Maclaurin spheroids

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..96..447k&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 96, no. 2, Oct. 1983, p. 447-449.

Mathematics

5

Astronomical Models, Rotating Bodies, Spheroids, Stellar Magnetic Fields, Systems Stability, Viscosity, Branching (Mathematics), Maclaurin Series, Pulsars

Scientific paper

The properties of rotating bodies close to their stability limits are investigated analytically. A homogeneous self-gravitating mass rotating about the 3-axis and having both a small amount of viscosity and a general axisymmetric magnetic field which vanishes at the surface is considered, and the ability of the field to limit the viscosity-induced instability in the Maclaurin sequence beyond the Maclaurin-Jacobi bifurcation point is evaluated. It is shown that even the slightest viscosity still produces the instability at the bifurcation point, which, however, is shifted by the field to a higher eccentricity level (greater than 0.8127). These findings are of interest to studies of rapidly rotating astronomical objects such as millisecond pulsars.

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