Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.217..735s&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 217, Dec. 15, 1985, p. 735-752. Research supported by t
Astronomy and Astrophysics
Astronomy
35
Astronomical Models, Elliptical Galaxies, Galactic Structure, Self Consistent Fields, Distribution Functions, Galactic Rotation, Oblate Spheroids, Poisson Equation, Stellar Systems
Scientific paper
A family of distribution functions for axisymmetric nearly spherical self-gravitating stellar systems is investigated extensively and found to provide a natural dynamical basis for the luminosity law of elliptical galaxies. This family was introduced in a previous paper where we showed by an example that it is possible to give a reasonable representation of recent N-body simulations. Slightly oblate and slowly rotating models are constructed as a modification of spherical models that can be parameterized by the value of the dimensionless central potential, using three integrals of the motion. The behavior of several global quantities, such as the dimensionless gravitational energy w, the form factor q, and the ratio of the pressure anisotropy scale length to the half-mass radius is studied along our equilibrium sequence. For selected models detailed properties of projected density, observed velocity dispersion, and pressure anisotropy profiles are provided, together with the energy distribution N(E). Models that develop a sufficiently deep central potential well are found to be consistent with the de Vaucouleurs law r exp 1/4.
Bertin Giuseppe
Stiavelli Massimo
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