A criterion for the fragmentation of a rotating and collapsing gas cloud

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Cosmic Gases, Fragmentation, Gravitational Collapse, Rotating Fluids, Astronomical Models, Isothermal Processes, Molecular Clouds, Solar System

Scientific paper

Hydrostatic equilibrium solutions are used to obtain a criterion for the fragmentation of a collapsing and rotating isothermal gas cloud, under the assumptions that (1) the cloud's initial state is a uniformly rotating, homogeneous sphere and (2) the cloud conserves angular momentum locally during the contraction and has a uniform density distribution. The cloud can maintain a Maclaurin spheroidal configuration throughout the collapse. The model is used to predict the final radius, density, flatness, etc., of the cloud, for any values of the initial ratios of thermal-to-gravitational energy and rotational-to-gravitational energy. Three outcomes of the collapse are noted: a stable cloud, a solar-type system, and a multiple system.

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