Scale-free equilibria of self-gravitating gaseous disks with flat rotation curves

Details Scale-free equilibria of self-gravitating gaseous disks with flat rotation curves Scale-free equilibria of self-gravitating gaseous disks with flat rotation curves

2002-07-30

arxiv.org/abs/astro-ph/0207644v1

Astrophys.J.580:718-724,2002

Astronomy and Astrophysics

Astrophysics

AAS preprint format, 21 pages, 8 figures, accepted for publication in The Astrophysical Journal

Scientific paper

10.1086/343849

We introduce exact analytical solutions of the steady-state hydrodynamic equations of scale-free, self-gravitating gaseous disks with flat rotation curves. We express the velocity field in terms of a stream function and obtain a third-order ordinary differential equation (ODE) for the angular part of the stream function. We present the closed-form solutions of the obtained ODE and construct hydrodynamical counterparts of the power-law and elliptic disks, for which self-consistent stellar dynamical models are known. We show that the kinematics of the Large Magellanic Cloud can well be explained by our findings for scale-free elliptic disks.

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