M. J. Geller

The luminosity function of the CfA Redshift Survey

We use the CfA Reshift Survey of galaxies with m(sub z) less than or equal to 15.5 to calculate the galaxy luminosity function over the range -13 less than or equal to M(sub z) less than or equal to -22. The sample includes 9063 galaxies distributed over 2.1 sr. For galaxies with velocities cz greater or equal to 2500 km per sec, where the effects of peculiar velocities are small, the luminosity function is well represented by a Schechter function with parameters phi(sub star) = 0.04 +/- 0.01 per cu Mpc, M(sub star) = -18.8 +/- 0.3, and alpha = -1.0 +/- 0.2. When we include all galaxies with cz greater or equal to 500 km per sec, the number of galaxies in the range -16 less than or equal to M(sub z) less than or equal to -13 exceeds the extrapolation of the Schechter function by a factor of 3.1 +/- 0.5. This faint-end excess is not caused by the local peculiar velocity field but may be partially explained by small scale errors in the Zwicky magnitudes. Even with a scale error as large as 0.2 mag per mag, which is unlikely, the excess is still a factor of 1.8 +/- 0.3. If real, this excess affects the interpretation of deep counts of field galaxies.

Galaxy clusters with multiple components. I - The dynamics of Abell 98

The nature and evolution of rich galaxy clusters containing multiple condensations is studied. Velocities for 13 members of A98 are presented and the determination of dynamical properties of the individual subclusters is substantially improved. The application of techniques for quantifying gravitational scale lengths are stressed without invocation of the symmetry arguments demanded by the usual parameter fitting procedures. The entire A98 cluster is modeled as a two-body system. The probability that A98 is bound is found to be 98 percent. From this model and the results of previous N-body simulations, it is shown that the most likely description of the system is that it reached maximum expansion about 3.5 billion years ago and is presently in a state of collapse. The subclusters will merge in another three billion years.

An Optical and X-Ray Study of Abell 576, a Galaxy Cluster with a Cold Core

We analyze the galaxy population and dynamics of the galaxy cluster Abell 576 using 281 redshifts (230 new), R band CCD galaxy photometry over a 2h^{-1} Mpc by 2h^{-1} Mpc region centered on the cluster, an Einstein IPC image, and an Einstein MPC spectrum. The cluster galaxies with emission lines in their spectra have a larger velocity dispersion and are significantly less clustered on this 2h^{-1} Mpc scale than galaxies without emission lines. We show that excluding the emission line galaxies decreases the velocity dispersion by 18% and the virial mass estimate by a factor of two. The central cluster region contains a non--emission galaxy population and an intracluster medium which are significantly cooler (sigma_{core}=387^{+250}_{-105}~km/s and T_X=1.6^{+0.4}_{-0.3}~keV at 90% confidence) than the global populations (sigma=977^{+124}_{-96}~km/s for the non--emission population and T_X>4~keV at 90% confidence). Because (1) the low dispersion population is no more luminous than the global population and (2) the evidence for a cooling flow is weak, we suggest that the cluster core may contain the remnants of a lower mass subcluster. We examine the cluster mass, baryon fraction and luminosity function. The cluster virial mass varies significantly depending on the galaxy sample used. Consistency between the hydrostatic and virial estimators can be achieved if (1) the gas temperature at rsim1h^{-1}~Mpc is T_Xsim8keV (the best fit value) and (2) several velocity outliers are excluded from the virial calculation. Although the best fit Schechter function parameters and the ratio of galaxy to gas mass are typical of other clusters, the baryon fraction is relatively low. Using a lower limit to the binding mass, we show that the gas mass fraction is le3h^{-3/2}% and the baryon fraction is le6%.We analyze the galaxy population and dynamics of the galaxy cluster Abell 576 using 281 redshifts (230 new), R band CCD galaxy photometry over a 2h^{-1} Mpc by 2h^{-1} Mpc region centered on the cluster, an Einstein IPC image, and an Einstein MPC spectrum. The cluster galaxies with emission lines in their spectra have a larger velocity dispersion and are significantly less clustered on this 2h^{-1} Mpc scale than galaxies without emission lines. We show that excluding the emission line galaxies decreases the velocity dispersion by 18% and the virial mass estimate by a factor of two. The central cluster region contains a non--emission galaxy population and an intracluster medium which are significantly cooler (sigma_{core}=387^{+250}_{-105}~km/s and T_X=1.6^{+0.4}_{-0.3}~keV at 90% confidence) than the global populations (sigma=977^{+124}_{-96}~km/s for the non--emission population and T_X>4~keV at 90% confidence). Because (1) the low dispersion population is no more luminous than the global population and (2) the evidence for a cooling flow is weak, we suggest that the cluster core may contain the remnants of a lower mass subcluster. We examine the cluster mass, baryon fraction and luminosity function. The cluster virial mass varies significantly depending on the galaxy sample used. Consistency between the hydrostatic and virial estimators can be achieved if (1) the gas temperature at rsim1h^{-1}~Mpc is T_Xsim8keV (the best fit value) and (2) several velocity outliers are excluded from the virial calculation. Although the best fit Schechter function parameters and the ratio of galaxy to gas mass are typical of other clusters, the baryon fraction is relatively low. Using a lower limit to the binding mass, we show that the gas mass fraction is le3h^{-3/2}% and the baryon fraction is le6%.

An X-ray and optical study of the cluster of galaxies Abell 754

X-ray and optical data for A754 are used to study the relative distribution of the luminous and dark matter in this dense, rich cluster of galaxies with X-ray luminosity comparable to that of the Coma Cluster. A quantitative statistical comparison is made of the galaxy positions with the total mass responsible for maintaining the X-ray emitting gas in hydrostatic equilibrium. A simple bimodal model which fits both the X-ray and optical data suggests that the galaxies are distributed consistently with the projected matter distribution within the region covered by the X-ray map (0.5-1 Mpc). The X-ray and optical estimates of the mass in the central region of the cluster are 2.9 x 10 to the 14th and 3.6 + or - 0.5 x 10 to the 14th solar masses, respectively.

Galaxy clusters with multiple components. II - Abell 115

Abell 115 is a galaxy cluster with two large enhancements in X-ray surface brightness. A map of the galaxy distribution over an extended region reveals the presence of three primary clumps of galaxies. Two of these correspond to the peaks in the X-ray surface brightness. A third clump, 7 arcmin to the east of the pair, has no X-ray emission detected by the Einstein Observatory. Redshifts are measured for 29 galaxies in the region; 10 are certainly members of foreground groups. A115, at z approximately 0.2, is the highest redshift cluster for which any extensive attempt has been made to study the system dynamics.