Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982japa....3..111w&link_type=abstract
Journal of Astrophysics and Astronomy, vol. 3, June 1982, p. 111-123.
Astronomy and Astrophysics
Astrophysics
Density Distribution, Disk Galaxies, Jeans Theory, Mass Distribution, Steady State, A Stars, Continuity Equation, Galactic Nuclei, Galactic Structure, Milky Way Galaxy, Normal Density Functions, Poisson Equation, Star Distribution, Velocity Distribution
Scientific paper
Given the potential, the equation of continuity and Poisson's equation are solved for the variation perpendicular to the Galactic plane for a thin galaxy in a steady state. Simple expressions are obtained for the joint density function for the mass density and velocity, and for the distribution function for the velocity and its moments. These results are applied using a potential suggested by Woolley and Stewart (1967) and Whitley (1977), which is Camm's potential due to an isothermal gas stratified in parallel layers, plus the potential due to the Galactic center. The resulting velocity distribution is quite close to the normal distribution usually assumed and cannot be distinguished from it by the data. The mass density distribution fits the log (relative density) curves better than the Camm solution, especially at large distances from the Galactic plane. A formula, valid under conditions more general than usual, is found for the total mass density in the neighborhood of the sun.
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