Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...179..167s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 179, no. 1-2, June 1987, p. 167-170.
Astronomy and Astrophysics
Astrophysics
9
Accretion Disks, Interstellar Gas, Magnetic Field Configurations, Poloidal Flux, Rotating Fluids, Star Formation, Perturbation Theory, Protostars, Stellar Gravitation, Stellar Rotation
Scientific paper
The combined effect of gaseous pressure, self-gravitation, differential rotation, and a poloidal magnetic field on the gravitational instability of an isothermal infinitely thin disc is investigated. The author considers a self-consistent equilibrium state with constant rotational velocity. The surface density and the frozen-in magnetic field are assumed to be inverse to the distance from the rotation axis. The stability of the configuration is investigated by use of marginally stable axisymmetric perturbations. Due to the simple form of the equilibrium state exact solutions of the perturbation equations can be given. The results are discussed, and the differences to the stability of homogeneous disc models are considered.
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