Statistics – Computation
Scientific paper
Dec 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992acasn..33..362p&link_type=abstract
Acta Astronomica Sinica (ISSN 0001-5245), vol. 33, no. 4, p. 362-370.
Statistics
Computation
1
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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