Normal modes of Bardeen discs. I - Uniformly rotating incompressible discs

Details Normal modes of Bardeen discs. I - Uniformly rotating incompressible discs Normal modes of Bardeen discs. I - Uniformly rotating incompressible discs

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983mnras.202..867s&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 202, Mar. 1983, p. 867-879.

Astronomy and Astrophysics

Astronomy

11

Dynamic Stability, Perturbation Theory, Rotating Fluids, Stellar Models, Stellar Motions, Approximation, Equilibrium Equations, Modes, Rotating Disks, Stellar Rotation, Surface Properties

Scientific paper

The authors study the normal modes and stability of a sequence of perfect fluid discs in the Bardeen approximation, which enables systems in which rotation, pressure and self-gravitation are all of comparable importance to be studied with relative ease. The present paper treats uniformly rotating incompressible discs analytically. The normal-mode eigenfunctions are found analytically, and the equation for the dynamical eigenfrequencies reduces to a cubic polynomial. The effects of gravitational radiation and viscosity on the spectrum are also studied. The present sequence of discs may be regarded as an approximation to Maclaurin spheroids.

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