Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...125..333s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 125, no. 2, Sept. 1983, p. 333-337. Research supported by the Deutsche Forschu
Astronomy and Astrophysics
Astrophysics
7
Astronomical Models, Cosmic Gases, Perturbation Theory, Protostars, Rotating Fluids, Density Distribution, Dynamic Stability, Equations Of State, Hydrodynamic Equations, Molecular Clouds, Numerical Integration, Poisson Equation
Scientific paper
A class of special perturbations of stationary rotating and self-gravitating gaseous clouds with constant rotational velocity and constant temperature is studied. The perturbations are isothermal and are connected with displacements only in the direction of the rotation axis. The author presents a perturbation equation which can be separated. The radial dependence of the perturbed variables is a simple closed expression, the angular dependence is given by an ordinary second order differential equation. The perturbed configurations show the asymptotic features of the regular solutions of the isothermal gas sphere. The relevance for the stability of the equilibrium state is discussed, and applications to the formation of the planetary system are considered.
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