Maclaurin discs and bifurcations to rings

Details Maclaurin discs and bifurcations to rings Maclaurin discs and bifurcations to rings

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996mnras.282..234k&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 282, p. 234

Astronomy and Astrophysics

Astronomy

2

Hydrodynamics, Galaxies: Structure

Scientific paper

Flat, infinitesimally thin, rigidly rotating, self-gravitating configurations of a polytropic gas are investigated. By means of numerical computations it is demonstrated that, for more rapid rotation rates, Maclaurin discs undergo a bifurcation into dumb-bell shaped configurations which then turn into a toroidal sequence. The point of bifurcation lies approximately at T/W = 0.349. This bifurcation phenomenon corresponds closely to the three-dimensional case of homogeneous rotating bodies with a constant density.

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