Details

Autor(en) / Beteiligte

• Tremaine, Scott
• Richstone, Douglas O.
• Byun, Yong-Ik
• Dressler, Alan
• Faber, S. M.
• Grillmair, Carl
• Kormendy, John
• Lauer, Tod R.

Titel

A family of models for spherical stellar systems

Ist Teil von

• The Astronomical journal, 1994-02, Vol.107 (2), p.634

Ort / Verlag

Legacy CDMS

Erscheinungsjahr

1994

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• We describe a one-parameter family of models of stable sperical stellar systems in which the phase-space distribution function depends only on energy. The models have similar density profiles in their outer parts (rho propotional to r(exp -4)) and central power-law density cusps, rho proportional to r(exp 3-eta), 0 less than eta less than or = 3. The family contains the Jaffe (1983) and Hernquist (1990) models as special cases. We evaluate the surface brightness profile, the line-of-sight velocity dispersion profile, and the distribution function, and discuss analogs of King's core-fitting formula for determining mass-to-light ratio. We also generalize the models to a two-parameter family, in which the galaxy contains a central black hole; the second parameter is the mass of the black hole. Our models can be used to estimate the detectability of central black holes and the velocity-dispersion profiles of galaxies that contain central cusps, with or without a central black hole.