An investigation of cooling flows and general cluster properties from an X-ray image deprojection analysis of 207 clusters of galaxies

Received ***; in original form *** In this paper we present an X-ray image deprojection analysis of EINSTEIN OBSERVATORY imaging data on 207 clusters of galaxies. The resulting radial profiles for luminosity, temperature, and electron density variations are determined from the cluster surface-brightness profiles according to gravitational potential constraints from average X-ray temperatures and optical velocity dispersions. This enables us to determine cooling-flow and other cluster properties, such as baryon fractions, Sunyaev-Zeldovich microwave decrements, and Thomson depths. From the results, we have compiled a catalogue of the detected cooling flows, and investigated their effects on general cluster properties. To assist in the analysis, we have constructed self-consistent correlations between the cluster X-ray luminosity, temperature, and optical velocity-dispersion, using ‘orthogonal distance ’ regression to account for errors in both dimensions of the data. These fits indicate that, in general, the temperatures of clusters are isothermal and that they have spectral β-values consistent with unity. We find that the X-ray luminosity, temperature, and optical velocity dispersion relations