Axisymmetric collapse of rotating, isothermal clouds

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Astronomical Models, Gravitational Collapse, Hydrodynamic Equations, Interstellar Gas, Nebulae, Rotating Matter, Stellar Evolution, Boundary Conditions, Boundary Value Problems, Gravitational Effects

Scientific paper

The results of over 50 new models of the axisymmetric collapse of rotating, isothermal clouds are presented, with the following objectives: (1) to fully explore the initial conditions necessary for collapse from uniform density and uniform rotation, subject to constant volume and constant pressure boundary conditions; (2) to catalog the possible end states for cloud collapse from these initial conditions; and (3) to determine if there is a critical value of rotational energy/gravitational energy associated with ring formation, as appears to be the case for adiabatic clouds. Three end states are obtained: Bonnor-Ebert spheroids, rings and collapsing disks. The rings are formed with values of the ratio of rotational energy to the absolute value of the gravitational energy typically less than the Maclaurin spheroid value for dynamic instability to ring formation.

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