On the mass-to-light ratio of Coma and the density of the dark matter
Open Access
- 1 November 1982
- journal article
- research article
- Published by Oxford University Press (OUP) in Monthly Notices of the Royal Astronomical Society
- Vol. 201 (2) , 271-280
- https://doi.org/10.1093/mnras/201.2.271
Abstract
Observations of Coma are used to constrain the density distribution of the dark matter. We assume |${\rho}_\text{gal}\,\propto(1\,+\,{r}^{2}/{a}^{2})^{-3/2}$| and investigate models in which |${\rho}_\text{d}\,\propto(1\,+\,{r}^{2}/{b}^{2})^{-q}$| where q = 1 or 3/2. Models with acceptable galaxy velocity dispersion profiles generally have |$0\,\lesssim\,b\,\lesssim\,a$| and total mass-to-light ratios ranging from as low as ~ 100 h to ≳ 400 h (solar units, M/LV; |$h\,={H}_{0}/100\,\text{kms}^{-1}\,\text{Mpc}^{-1})$|. The three-dimensional galaxy velocity dispersion profile for these models is obtained analytically, and several representative projected velocity dispersion profiles are given. The uncertainty in the cluster mass distribution allowed by observations and these models is a further significant factor affecting detailed modelling of cluster properties.Keywords
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