Other
Scientific paper
Jan 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...276..156b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 276, Jan. 1, 1984, p. 156-168.
Other
119
Disk Galaxies, Galactic Structure, Mass Ratios, Milky Way Galaxy, Star Distribution, Astronomical Models, Boltzmann Distribution, Isothermal Processes, Mass To Light Ratios, Poisson Equation, Scale Height
Scientific paper
The combined Boltzmann and Poisson equations for the isothermal distribution of stars perpendicular to a galactic disk are solved in the presence of a spheroidal halo. The solutions depend in a simple way upon the ratio, epsilon, of effecive halo mass density to disk mass density in the fundamental plane of the disk. These results suggest a new way of measuring the ratio of halo to disk mass densities either by observing the number of stars of a given type as a function of height above the plane in the Galaxy or by observing the distribution of starlight perpendicular to the disks of other galaxies. Exact numerical - and approximate analytic solutions are derived for disks that are composed of one or several separate stellar components. Non-isothermal solutions are also discussed. The advantages of using the self-consistent models described here for the determination of the total amount of matter near the sun are enumerated.
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