Asymptotic Formulation of a Differentially Rotating Star with Small Dissipation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

A system of nonlinear differential equations is formulated for a differentially rotating star with a small radiative dissipation. Certain dimensionless parameters are introduced, such as ɛ1 to indicate the degree of small, but not necessarily infinitesimal, departure from the steady, axisymmetric stage, and ɛ2 to indicate the localization of perturbations etc. As examples of application, the Goldreich-Schubert and the Solberg-Hoiland instabilities are discussed.

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