Criteria for Fragmentation of Collapsing Rotating Isothermal Clouds

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Scientific paper

The collapse of rotating isothermal clouds is investigated in detail. A semianalytic spheroid model and three-dimensional self-gravitating hydrodynamics are used to find out the criterion that predicts the outcome after the collapse of initially uniform-density rigid-rotating spheres. The geometrical flatness of the isodensity contour in the central region is shown to be a good indicator to predict whether the cloud fragments or not. The criteria derived by the three-dimensional calculations and the semianalytic model agree well in the α0-β0 diagram, where α0 and β0 are the ratio of the thermal and rotational energy to the gravitational energy, respectively. The warm clouds (α0 >~ 0.5) converge to the runaway collapsing self-similar solutions without fragmentation before the central core formation. Dependence on the initial rotation parameter β0 is found to be small.

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