A study of three dimensional disk-like galaxies. I - an exponential disk model in outer region of galaxies

Statistics – Computation

Scientific paper

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Astronomical Models, Disk Galaxies, Galactic Structure, Three Dimensional Bodies, Computational Astrophysics, Density Distribution, Differential Equations, Galactic Rotation, Poisson Equation

Scientific paper

A basic differential equation governing the projected surface density distribution in the outer region of the disks of three dimensional disk galaxies is derived by Bessel-Fourier transform from the fundamental equations of galactic dynamics and Poisson equation. A solution is found in which both surface density and velocity dispersion components of stars exponentially vary with r in the outer region of the disk, where the rotation curve is flat. A relation between the characteristic length of surface density and the thickness of galaxies is also found.

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