Other
Scientific paper
Nov 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...169..171s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 169, no. 1-2, Nov. 1986, p. 171-177. DFG-supported research.
Other
8
Isothermal Processes, Rotary Stability, Rotating Fluids, Star Formation, Equilibrium Equations, Magnetohydrodynamics, Perturbation Theory, Thermodynamic Equilibrium
Scientific paper
The author presents an approximation method for the investigation of the stability of rapidly rotating equilibrium configurations. A familiar method for the calculation of equilibrium configurations is generalized to perturbations with large wavelengths. The linearized equations of marginally stable axisymmetric perturbations are approximated by an integrodifferential equation. The procedure is applied to the case of an isothermal equilibrium configuration with constant rotational velocity. The integrodifferential equation reduces to a transcendental equation. The author gives the solutions of this equation and verifies the approximations. The stability of the configurations is discussed. The investigations also include the case of infinitely thin discs.
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