Statistics – Computation
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...368...79a&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 368, Feb. 10, 1991, p. 79-104. Research supported by the Ministero dell'Uni
Statistics
Computation
31
Computational Astrophysics, Galactic Structure, Hydrodynamics, Stellar Physics, Astronomical Models, Dark Matter, Solar Neighborhood, Three Dimensional Models
Scientific paper
A three-dimensional model for the kinematics of cool disk systems is derived. It is shown that unique solutions for the velocity ellipsoid are obtainable everywhere once a potential of any kind is chosen. An essentially model-free analytic expression for the tilting of the velocity ellipsoid at points just above the plane is presented which is in excellent agreement with all known constraints. An expression for the nonisothermality of a disk population close to the plane of symmetry is obtained which is also in detailed agreement with observations. It is shown that for all reasonable potentials, the vertical velocity dispersion has a minimum on the plane. A simple expression is obtained which illustrates the close relationship between the nonisothermality and the tilting of the velocity ellipsoid. The closed system of equations should prove useful in understanding the behavior of the velocity ellipsoid off the plane of the Galaxy.
Amendt Peter
Cuddeford Phil
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