Gravitational instability of interstellar magnetic clouds

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Effects, Interstellar Gas, Interstellar Magnetic Fields, Magnetic Clouds, Stellar Evolution, Cartesian Coordinates, Schroedinger Equation

Scientific paper

A fourth-order perturbation method is applied to develop a model for the gravitational instability of a gaseous layer threaded by a magnetic field during the process of star formation. A nonlinear Schroedinger equation is defined for the dynamic behavior of interstellar magnetic clouds in an unperturbed state. Conditions which lead to gravitational instability in a gaseous disk are formulated, and a critical wavelength above which waves become unstable is derived. The gravitational instability is linked with a critical mass at which contraction begins. The instability conditions will hold for both spherical and flattened gaseous clouds.

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