A spherical treatment of slightly distorted rotating stars

Details A spherical treatment of slightly distorted rotating stars A spherical treatment of slightly distorted rotating stars

Aug 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...288..183k&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 288, no. 1, p. 183-190

Mathematics

1

Rotating Spheres, Stellar Interiors, Stellar Oscillations, Stellar Rotation, Analysis (Mathematics), Angular Momentum, Equations Of Motion, Perturbation Theory, Polytropic Processes

Scientific paper

A simple and self-consistent spherical treatment of stars in differential rotation is presented. It is adequate when the fractional importance of the centrifugal forces is small, and exact in the limit of slow rotation. The differential equation for radial oscillations is derived. As applications, Ledoux's formula for the fundamental frequency of radial oscillations and results of Chandrasekhar and Lebovitz (concerning the rotational perturbation in the frequencies) are extended to the general case, and a rigorous spherical discussion of slowly rotating polytropes is carried through.

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