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For refcode 1995ApJ...448...70E:
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1995ApJ...448...70E A MULTIPARAMETRIC ANALYSIS OF THE EINSTEIN SAMPLE OF EARLY-TYPE GALAXIES. III. COMPARISONS WITH THE {kappa}-PARAMETERS PAUL B. ESKRIDGE Harvard-Smithsonian Center for Astrophysics; and Department of Physics and Astronomy, University of Alabama, Tuscaloosa, AL 35487 GIUSEPPINA FABBIANO Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138 AND DONG-WOO KIM Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138; and Department of Astronomy and Space Science, Chungnam National University Received 1994 October 10; accepted 1995 January 30 ABSTRACT We have extended our bivariate and multivariate statistical analysis of the Einstein sample of early-type galaxies (Fabbiano, Kim, & Trinchieri 1992; Eskridge, Fabbiano, & Kim 1995a, b) to include a consideration of the {kappa}-parameters defined by Bender, Burstein, & Faber (1992). The {kappa}-parameters are defined such that {kappa}_1_ scales with virial mass, {kappa}_3_ scales with inner M/L ratio, and {kappa}_2_ is perpendicular to both {kappa}_1_ and {kappa}_3_. The {kappa}_1_-{kappa}_3_ plane is essentially edge-on to the Bender et al. (1992) formulation of the fundamental plane, and the parameter {delta}{kappa}_3_ describes the scatter about that plane. We find that L_B_, L_x_, and L_6_ are all strongly correlated with {kappa}_1_. Partial Spearman rank analysis shows these trends to be independent of the correlations between the luminosities. There are also significant bivariate trends of both L_x_ and L_6_ with {kappa}_3_. Partial Spearman rank analysis indicates that the L_x_-{kappa}_3_ trend is the dominant one, thus arguing for a connection between the prominence of X-ray coronae and the inner MIL. This suggests that galaxies with central excesses of dark matter also have more massive extended dark matter halos, providing a mechanism for retaining larger amounts of hot interstellar medium. We find evidence for a correlation between Mg_2_ and {delta}{kappa}_3_ that is independent of correlations of these two parameters with {sigma}_{nu}_ and is enhanced when tested for constant a_4_. The strengthening of the Mg_2_-{delta}{kappa}_3_ correlation when tested for constant a_4_ indicates an underlying connection between the scatter about the fundamental plane and the Type II supernova enrichment history of the central regions of elliptical galaxies that is independent of the details of the central structure of individual galaxies. This suggests that the Mg_2_-{delta}{kappa}_3_ trend is not related to the Mg_2_ enhancements associated with kinematically decoupled cores seen in some disky elliptical galaxies (e.g., Bender & Surma 1992). It may be that systems with higher inner M/L_e_ (at a given mass) were more able to retain the metals generated in early epochs of star formation. Alternatively, systems experiencing more active or prolonged star formation may have produced an excess of baryonic dark matter from stellar remnants that is reflected in their higher M/L_e_. Subject headings: galaxies: elliptical and lenticular, cD galaxies: ISM - X-rays: galaxies
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