Scale‐free Equilibria of Self‐gravitating Gaseous Disks with Flat Rotation Curves | Zendy

Mir Abbas Jalali | Zendy; Mehdi Abolghasemi | Zendy

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Scale‐free Equilibria of Self‐gravitating Gaseous Disks with Flat Rotation Curves

Author(s) -

Mir Abbas Jalali,

Mehdi Abolghasemi

Publication year - 2002

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/343849

Subject(s) - ode , differential rotation , physics , ordinary differential equation , rotation (mathematics) , angular velocity , function (biology) , elliptic function , galaxy rotation curve , scale (ratio) , classical mechanics , mathematical analysis , stream function , kinematics , mechanics , differential equation , geometry , mathematics , astrophysics , stars , vorticity , quantum mechanics , evolutionary biology , vortex , galaxy , halo , biology

We introduce exact analytical solutions of the steady-state hydrodynamicequations of scale-free, self-gravitating gaseous disks with flat rotationcurves. We express the velocity field in terms of a stream function and obtaina third-order ordinary differential equation (ODE) for the angular part of thestream function. We present the closed-form solutions of the obtained ODE andconstruct hydrodynamical counterparts of the power-law and elliptic disks, forwhich self-consistent stellar dynamical models are known. We show that thekinematics of the Large Magellanic Cloud can well be explained by our findingsfor scale-free elliptic disks.Comment: AAS preprint format, 21 pages, 8 figures, accepted for publication in The Astrophysical Journa

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