On dynamical models of stellar systems of finite extent

Details On dynamical models of stellar systems of finite extent On dynamical models of stellar systems of finite extent

Feb 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...325..566k&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 325, Feb. 15, 1988, p. 566-582.

Mathematics

Probability

8

Astronomical Models, Celestial Mechanics, Many Body Problem, Stellar Systems, Angular Velocity, Elliptical Galaxies, Galactic Rotation, Stellar Orbits

Scientific paper

Elliptical galaxies, like any stellar systems, have finite extent and therefore must be described by a truncated distribution function, i.e., the probability of finding a star above a certain boundary is zero. It is shown that such truncation imposes severe and unphysical limitations on the system described. The author presents here a distribution function that describes galaxies of finite extent (truncated in radius) and shows that it allows for all orbits bound to the galaxy. The model is best illustrated for the case of a spherically symmetrical system, and the results are compared with the King distribution. The new distribution function is then generalized to rotating and axisymmetric cases and the resultant potential, projected surface density profile, isophote shapes, rotation curves, and velocity dispersion profiles are derived.

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