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Stellar populations of early-type galaxies in different environments. III. Line-strength gradients
Aims.This is the third paper of a series devoted to the study of thestellar content of early-type galaxies. The goal of the series is to setconstraints on the evolutionary status of these objects. Methods:.We present line-strength gradients for 22 spectral indices measured ina sample of 82 early-type galaxies in different environments, includingthe high-density cores of the Coma cluster, the Virgo cluster, poorgroups, and isolated field galaxies. Using new evolutionary populationsynthesis models, we derive age and metallicity gradients, and comparethe mean values with the predictions of different galaxy formationmodels. We explore the behaviour of individual chemical species byderiving the metallicity gradient with different indicators.Results: .We find that the strength of the metallicity gradient inferredfrom stellar population models depends on the specific Lick indexemployed. In particular, metallicity gradients obtained with CN2 andC4668 combined with Hβ are steeper than those measured using Ca4227or Fe4383. The correlation of the metallicity gradients with otherparameters also depends on the specific index employed. If themetallicity gradient is obtained using CN2 and Mgb, then it correlateswith the central age of the galaxies. On the contrary, if Fe4383 orCa4227 is used, the metallicity gradient correlates with the velocitydispersion gradient. Conclusions: .This may suggest that severalmechanisms have helped to set the age and metallicity gradients inearly-type galaxies. While we do not find any correlation between themetallicity gradient and the central velocity dispersion for galaxies inlow-density environments, we find a marginal correlation between themetallicity gradient and the mass for galaxies in the centre of the Comacluster. We also find a trend for which galaxies in denser environmentsshow a steeper metallicity gradient than galaxies in less denseenvironments. We interpret these results in light of the differentmechanisms proposed to explain the observed changes between galaxies asa function of environment.

Stellar populations of early-type galaxies in different environments. II. Ages and metallicities
Aims.This is the second paper of a series devoted to the study of thestellar content of early-type galaxies. The goal of the series is to setconstraints on the evolutionary status of these objects Methods:.We use a new set of models that include an improved stellar library(MILES) to derive simple stellar population (SSP)-equivalent parametersin a sample of 98 early-type galaxies. The sample contains galaxies inthe field, poor groups, and galaxies in the Virgo and Coma clusters. Results: .We find that low-density environment galaxies span a largerrange in SSP age and metallicity than their counterparts in high densityenvironments, with a tendency for lower σ galaxies to be younger.Early-type galaxies in low-density environments appear on average ~1.5Gyr younger and more metal rich than their counterparts in high densityenvironments. The sample of low-density environment galaxies shows anage-metallicity relation in which younger galaxies are found to be moremetal rich, but only when metallicity is measured with a Fe-sensitiveindex. Conversely, there is no age-metallicity relation when themetallicity is measured with a Mg sensitive index. The mass-metallicityrelation is only appreciable for the low-density environment galaxieswhen the metallicity is measured with a Mg-sensitive index, and not whenthe metallicity is measured with other indicators. On the contrary, thisrelation exists for the high-density environment galaxies independent ofthe indicator used to measure the metallicity. Conclusions: .Thissuggests a dependence of the mass-metallicity relation on theenvironment of the galaxies. Our data favour a scenario in whichgalaxies in low density environments have suffered a more extended starformation history than the galaxies in the Coma cluster, which appear tohost more homogenous stellar populations.

Stellar populations of early-type galaxies in different environments. I. Line-strength indices. Relations of line-strengths with σ
Aims.This paper commences a series devoted to the study of the stellarcontent of early-type galaxies. The goal of the series is to setconstraints on the evolutionary status of these objects. Methods:.In this paper we describe the details of the galaxy sample, theobservations, and the data reduction. Line-strength indices and velocitydispersions (σ) are measured in 98 early-type galaxies drawn fromdifferent environments, and the relation of the indices with thevelocity dispersion analysed in detail. Results: .The presentsample indicates that some of the index-σ relations depend ongalaxy environment. In particular, the slope of the relation betweenBalmer lines and σ is steeper for galaxies in the Virgo cluster,small groups, and in the field than for galaxies in the Coma cluster. Inseveral indices there is also a significant offset in the zero pointbetween the relations defined by the different subsamples. The slopes ofthe index-σ relation for the Virgo and low-density environmentgalaxies are explained by a variation of both age and metallicity, withvelocity dispersion, as previously noted in other studies. For thegalaxies in the Coma cluster, however, the relation of the indices withσ only requires a variation of the abundance along the σsequence. In agreement with other studies, we find that the models thatbetter reproduce the slopes are those in which the α elements varymore than the Fe-peak elements along the σ sequence, while, at agiven σ, older galaxies show an higher α/Fe ratio. Conclusions: .The results can be explained assuming that galaxies in theComa cluster have experienced a truncated star formation and chemicalenrichment history compared to a more continuous time-extended historyfor their counterparts in lower density environments.

Kinematic properties and stellar populations of faint early-type galaxies - I. Velocity dispersion measurements of central Coma galaxies
We present velocity dispersion measurements for 69 faint early-typegalaxies in the core of the Coma cluster, spanning -22.0<~MR<~-17.5 mag. We examine the L-σ relation forour sample and compare it to that of bright elliptical galaxies (Es)from the literature. The distribution of the the faint early-typegalaxies in the L-σ plane follows the relationL~σ2.01+/-0.36, which is significantly shallower fromL~σ4 as defined for the bright Es. While increasedrotational support for fainter early-type galaxies could account forsome of the difference in slope, we show that it cannot explain it. Wealso investigate the colour-σ relation for our Coma galaxies.Using the scatter in this relation, we constrain the range of galaxyages as a function of their formation epoch for different formationscenarios. Assuming a strong coordination in the formation epoch offaint early-type systems in Coma, we find that most had to be formed atleast 6 Gyr ago and over a short 1-Gyr period.

Quantitative Morphology of Galaxies in the Core of the Coma Cluster
We present a quantitative morphological analysis of 187 galaxies in aregion covering the central 0.28 deg2 of the Coma Cluster.Structural parameters from the best-fitting Sérsicr1/n bulge plus, where appropriate, exponential disk model,are tabulated here. This sample is complete down to a magnitude of R=17mag. By examining the recent compilation by Edwards et al. of galaxyredshifts in the direction of Coma, we find that 163 of the 187 galaxiesare Coma Cluster members and that the rest are foreground and backgroundobjects. For the Coma Cluster members, we have studied differences inthe structural and kinematic properties between early- and late-typegalaxies and between the dwarf and giant galaxies. Analysis of theelliptical galaxies reveals correlations among the structural parameterssimilar to those previously found in the Virgo and Fornax Clusters.Comparing the structural properties of the Coma Cluster disk galaxieswith disk galaxies in the field, we find evidence for an environmentaldependence: the scale lengths of the disk galaxies in Coma are 30%smaller. An analysis of the kinematics shows marginal differencesbetween the velocity distributions of elliptical galaxies withSérsic index n<2 (dwarfs) and those with n>2 (giants), thedwarf galaxies having a greater (cluster) velocity dispersion. Finally,our analysis of all 421 background galaxies in the catalog of Edwards etal. reveals a nonuniform distribution in redshift with contrasts indensity of ~3, characterized by a void extending from ~10,000 to ~20,000km s-1, and two dense and extended structures centered at~20,000 and ~47,000 km s-1.

Stellar populations in early-type Coma cluster galaxies - I. The data
We present a homogeneous and high signal-to-noise ratio data set (meanS/N ratio of ~60 Å-1) of Lick/IDS stellar populationline indices and central velocity dispersions for a sample of 132 bright(bj<= 18.0) galaxies within the central 1°(≡1.26h-1 Mpc) of the nearby rich Coma cluster (A1656). Ourobservations include 73 per cent (100 out of 137) of the totalearly-type galaxy population (bj<= 18.0). Observationswere made with the William Herschel 4.2-m telescope and theAUTOFIB2/WYFFOS multi-object spectroscopy instrument (resolution of~2.2-Å FWHM) using 2.7-arcsec diameter fibres (≡0.94h-1 kpc). The data in this paper have well-characterizederrors, calculated in a rigorous and statistical way. Data are comparedwith previous studies and are demonstrated to be of high quality andwell calibrated on to the Lick/IDS system. Our data have median errorsof ~0.1 Å for atomic line indices, ~0.008 mag for molecular lineindices and 0.015 dex for velocity dispersions. This work provides awell-defined, high-quality baseline at z~ 0 for studies of medium- tohigh-redshift clusters. Subsequent papers will use this data set toprobe the stellar populations (which act as fossil records of galaxyformation and evolution) and the spectrophotometric relations of thebright early-type galaxies within the core of the Coma cluster.

1.65-μm (H -band) surface photometry of galaxies - VIII. The near-IR κ space at z =0
We present the distribution of a statistical sample of nearby galaxiesin the κ -space (κ 1 ~logM , κ 2~logI e 3 M /L , κ 3 ~logM /L ).Our study is based on near-IR (H -band: λ =1.65μm)observations, for the first time comprising early- and late-typesystems. Our data confirm that the mean effective dynamicalmass-to-light ratio M /L of the E+S0+S0a galaxies increases withincreasing effective dynamical mass M , as expected from the existenceof the Fundamental Plane relation. Conversely, spiral and Im/BCDgalaxies show a broad distribution in M /L with no detected trend of M/L with M , the former galaxies having M /L values about twice largerthan the latter, on average. For all the late-type galaxies, the M /Lincreases with decreasing effective surface intensity I e ,consistent with the existence of the Tully-Fisher relation. Theseresults are discussed on the basis of the assumptions behind theconstruction of the κ -space and their limitations. Our study iscomplementary to a previous investigation in the optical (B -band:λ =0.44μm) and allows us to study wavelength dependences ofthe galaxy distribution in the κ -space. As a first result, wefind that the galaxy distribution in the κ 1 -κ2 plane reproduces the transition from bulgeless tobulge-dominated systems in galaxies of increasing dynamical mass.Conversely, it appears that the M /L of late-types is higher (lower)than that of early-types with the same M in the near-IR (optical). Theorigins of this behaviour are discussed in terms of dust attenuation andstar formation history.

The Color-Magnitude Relation in Coma: Clues to the Age and Metallicity of Cluster Populations
We have observed three fields of the Coma Cluster of galaxies with anarrowband (modified Strömgren) filter system. Observed galaxiesinclude 31 in the vicinity of NGC 4889, 48 near NGC 4874, and 60 nearNGC 4839, complete to M5500=-18 in all three subclusters.Spectrophotometric classification finds all three subclusters of Coma tobe dominated by red, E-type (elliptical/S0) galaxies with a mean bluefraction, fB, of 0.10. The blue fraction increases to fainterluminosities, possible remnants of dwarf starburst population or theeffects of dynamical friction removing bright, blue galaxies from thecluster population by mergers. We find the color-magnitude (CM) relationto be well defined and linear over the range of M5500=-13 to-22. The observational error is lower than the true scatter around theCM relation, indicating that galaxies achieve their final positions inthe mass-metallicity plane by stochastic processes. After calibration tomultimetallicity models, bright elliptical galaxies are found to haveluminosity-weighted mean [Fe/H] values between -0.5 and +0.5, whereaslow-luminosity elliptical galaxies have [Fe/H] values ranging from -2 tosolar. The lack of CM relation in our continuum color suggests that asystematic age effect cancels the metallicity effects in this bandpass.This is confirmed with our age index Δ(bz-yz), which finds a weakcorrelation between luminosity and mean stellar age in ellipticalgalaxies such that the stellar populations of bright elliptical galaxiesare 2-3 Gyrs younger than low-luminosity elliptical galaxies. Withrespect to environmental effects, there is a slight decreasingmetallicity gradient with respect to distance to each subcluster center,strongest around NGC 4874. Since NGC 4874 is the dynamic and X-raycenter of the Coma Cluster, this implies that environmental effects onlow-luminosity elliptical galaxies are strongest at the cluster corecompared with outlying subgroups.

The UZC-SSRS2 Group Catalog
We apply a friends-of-friends algorithm to the combined Updated ZwickyCatalog and Southern Sky Redshift Survey to construct a catalog of 1168groups of galaxies; 411 of these groups have five or more members withinthe redshift survey. The group catalog covers 4.69 sr, and all groupsexceed the number density contrast threshold, δρ/ρ=80. Wedemonstrate that the groups catalog is homogeneous across the twounderlying redshift surveys; the catalog of groups and their membersthus provides a basis for other statistical studies of the large-scaledistribution of groups and their physical properties. The medianphysical properties of the groups are similar to those for groupsderived from independent surveys, including the ESO Key Programme andthe Las Campanas Redshift Survey. We include tables of groups and theirmembers.

The far-ultraviolet emission of early-type galaxies
We have assembled a UV-flux selected sample of 82 early-type galaxiesand collected additional information at other wavelengths. These dataconfirm a large spread of the UV-V color in the range 2 to 5. The spreadin UV-V is accompanied by a spread in B-V that is mainly attributed tothe range of morphological types and luminosities. A large fraction ofthe objects have red colors, UV-V = 4 +/- 0.4, corresponding to a weakUV-upturn as observed with IUE. If the current interpretation for the UVemission from early-type galaxies is applicable to our sample, the PAGB(Post-Asymptotic Giant Branch) tracks are the most common evolution pathfor the low-mass stars responsible for the UV emission. A small numberof very blue (UV-V < 1.4) objects have been found that can bereasonably interpreted as harbouring some low level of star formation.In contrast to a previous sample based on IUE observations, nocorrelation is found between the UV-V color and the Mg2spectral line index; possible explanations are reviewed. The potentialof a more extended UV survey like GALEX is briefly presented.

The colour-magnitude relation for galaxies in the Coma cluster
We present a new photometric catalogue of the Coma galaxy cluster in theJohnson U and V bands. We cover an area of 3360arcmin2 ofsky, to a depth of \fontshape{it}{V}=20\hphantom{0} mag in a13-arcsec diameter aperture, and produce magnitudes for ~1400 extendedobjects in metric apertures from 8.8- to 26-arcsec diameters. The meaninternal rms scatter in the photometry is 0.014mag in V, and 0.026mag inU, for \fontshape{it}{V}13<17\hphantom{0}mag.We place new limits on the levels of scatter in the colour-magnituderelation (CMR) in the Coma cluster, and investigate how the slope andscatter of the CMR depend on galaxy morphology, luminosity and positionwithin the cluster. As expected, the lowest levels of scatter are foundin the elliptical galaxies, while the late-type galaxies have thehighest numbers of galaxies bluewards of the CMR. We investigate whetherthe slope of the CMR is an artefact of colour gradients within galaxies,and show that it persists when the colours are measured within adiameter that scales with galaxy size. Looking at the environmentaldependence of the CMR, we find a trend of systematically bluer galaxycolours with increasing projected radius from the centre of the cluster.Surprisingly, this is accompanied by a decreased scatter of the CMR. Weinvestigate whether this gradient could be caused by dust in the clusterpotential, however the reddening required would produce too large ascatter in the colours of the central galaxies. The gradient appears tobe better reproduced by a gradient in the mean galactic ages withprojected radius.

On the dependence of spectroscopic indices of early-type galaxies on age, metallicity and velocity dispersion
We investigate the Mg-σ and -σ relations in asample of 72 early-type galaxies drawn mostly from cluster and groupenvironments using a homogeneous data set which is well calibrated on tothe Lick/IDS system. The small intrinsic scatter in Mg at a givenσ gives upper limits on the spread in age and metallicity of 49and 32 per cent respectively, if the spread is attributed to onequantity only, and if the variations in age and metallicity areuncorrelated. The age/metallicity distribution as inferred from theHβ versus diagnostic diagram reinforces this conclusion,as we find mostly galaxies with large luminosity-weighted ages spanninga range in metallicity. Using Monte Carlo simulations, we show that thegalaxy distribution in the Hβ versus plane cannot bereproduced by a model in which galaxy age is the only parameter drivingthe index-σ relation. In our sample we do not find significantevidence for an anticorrelation of ages and metallicities which wouldkeep the index-σ relations tight while hiding a large spread inage and metallicity. As a result of correlated errors in theage-metallicity plane, a mild age-metallicity anticorrelation cannot becompletely ruled out by the current data. Correcting the line-strengthindices for non-solar abundance ratios, following the recent paper byTrager et al., leads to higher mean metallicity and slightly younger ageestimates while preserving the metallicity sequence. The [Mg/Fe] ratiois mildly correlated with the central velocity dispersion, and rangesfrom [Mg/Fe]=0.05 to 0.3 for galaxies withσ>100kms-1. Under the assumption that there is noage gradient along the index-σ relations, theabundance-ratio-corrected Mg-σ, Fe-σ and Hβ-σrelations give consistent estimates ofΔ[M/H]/Δlogσ~=0.9+/-0.1. The slope of theHβ-σ relation limits a potential age trend as a function ofσ to 2-3Gyr along the sequence.

The First Hour of Extragalactic Data of the Sloan Digital Sky Survey Spectroscopic Commissioning: The Coma Cluster
On 1999 May 26, one of the Sloan Digital Sky Survey (SDSS) fiber-fedspectrographs saw astronomical first light. This was followed by thefirst spectroscopic commissioning run during the dark period of 1999June. We present here the first hour of extragalactic spectroscopy takenduring these early commissioning stages: an observation of the Comacluster of galaxies. Our data samples the southern part of this cluster,out to a radius of 1.5d (1.8 h-1 Mpc, approximately to thevirial radius) and thus fully covers the NGC 4839 group. We outline inthis paper the main characteristics of the SDSS spectroscopic systemsand provide redshifts and spectral classifications for 196 Comagalaxies, of which 45 redshifts are new. For the 151 galaxies in commonwith the literature, we find excellent agreement between our redshiftdeterminations and the published values, e.g., for the largesthomogeneous sample of galaxies in common (63 galaxies observed byColless & Dunn) we find a mean offset of 3 km s -1 and anrms scatter of only 24 km s -1. As part of our analysis, wehave investigated four different spectral classification algorithms:measurements of the spectral line strengths, a principal componentdecomposition, a wavelet analysis and the fitting of spectral synthesismodels to the data. We find that these classification schemes are inbroad agreement and can provide physical insight into the evolutionaryhistories of our cluster galaxies. We find that a significant fraction(25%) of our observed Coma galaxies show signs of recent star formationactivity and that the velocity dispersion of these active galaxies(emission-line and poststarburst galaxies) is 30% larger than theabsorption-line galaxies. We also find no active galaxies within thecentral (projected) 200 h-1 kpc of the cluster. The spatialdistribution of our Coma active galaxies is consistent with that foundat higher redshift for the CNOC1 cluster survey. Beyond the core region,the fraction of bright active galaxies appears to rise slowly out to thevirial radius and are randomly distributed within the cluster with noapparent correlation with the potential merger or postmerger of the NGC4839 group. We briefly discuss possible origins of this recent galaxystar formation.

1.65 μm (H-band) surface photometry of galaxies. III. observations of 558 galaxies with the TIRGO 1.5 m telescope
We present near-infrared H-band (1.65 μm ) surface photometry of 558galaxies in the Coma Supercluster and in the Virgo cluster. This dataset, obtained with the Arcetri NICMOS3 camera ARNICA mounted on theGornergrat Infrared Telescope, is aimed at complementing, withobservations of mostly early-type objects, our NIR survey of spiralgalaxies in these regions, presented in previous papers of this series.Magnitudes at the optical radius, total magnitudes, isophotal radii andlight concentration indices are derived. We confirm the existence of apositive correlation between the near-infrared concentration index andthe galaxy H-band luminosity Based on observations taken at TIRGO(Gornergrat, Switzerland). TIRGO is operated by CAISMI-CNR, Arcetri,Firenze, Italy. Tables 1 and 2 are only available in electronic form atthe CDS via anonymous ftp to cdsarc.u-strasbg.fr (130.79.128.5) or viahttp://cdsweb.u-strasbg.fr/Abstract.html

1.65 μm (H-band) surface photometry of galaxies. V. Profile decomposition of 1157 galaxies
We present near-infrared H-band (1.65 μm) surface brightness profiledecomposition for 1157 galaxies in five nearby clusters of galaxies:Coma, A1367, Virgo, A262 and Cancer, and in the bridge between Coma andA1367 in the ``Great Wall". The optically selected (mpg≤16.0) sample is representative of all Hubble types, from E to Irr+BCD,except dE and of significantly different environments, spanning fromisolated regions to rich clusters of galaxies. We model the surfacebrightness profiles with a de Vaucouleurs r1/4 law (dV), withan exponential disk law (E), or with a combination of the two (B+D).From the fitted quantities we derive the H band effective surfacebrightness (μe) and radius (re) of each component, theasymptotic magnitude HT and the light concentration indexC31. We find that: i) Less than 50% of the Ellipticalgalaxies have pure dV profiles. The majority of E to Sb galaxies is bestrepresented by a B+D profile. All Scd to BCD galaxies have pureexponential profiles. ii) The type of decomposition is a strong functionof the total H band luminosity (mass), independent of the Hubbleclassification: the fraction of pure exponential decompositionsdecreases with increasing luminosity, that of B+D increases withluminosity. Pure dV profiles are absent in the low luminosity rangeLH<1010 L\odot and become dominantabove 1011 L\odot . Based on observations taken atTIRGO, Gornergrat, Switzerland (operated by CAISMI-CNR, Arcetri,Firenze, Italy) and at the Calar Alto Observatory (operated by theMax-Planck-Institut für Astronomie (Heidelberg) jointly with theSpanish National Commission for Astronomy). Table 2 and Figs. 2, 3, 4are available in their entirety only in electronic form at the CDS viaanonymous ftp to cdsarc.u-strasbg.fr (130.79.128.5) or viahttp://cdsweb.u-strasbg.fr/Abstract.html

A turn-over in the galaxy luminosity function of the Coma cluster core?
Our previous study of the faint end (R<=21.5) of the galaxyluminosity function (GLF) was based on spectroscopic data in a smallregion near the Coma cluster center. In this previous study Adami et al.(1998) suggested, with moderate statistical significance, that thenumber of galaxies actually belonging to the cluster was much smallerthan expected. This led us to increase our spectroscopic sample. Here,we have improved the statistical significance of the results of the ComaGLF faint end study (R<=22.5) by using a sample of 88 redshifts. Thisincludes both new spectroscopic data and a literature compilation. Therelatively small number of faint galaxies belonging to Coma that wassuggested by Adami et al. (1998) and Secker et al. (1998) has beenconfirmed with these new observations. We also confirm that thecolor-magnitude relation is not well suited for finding the galaxiesinside the Coma cluster core, close to the center at magnitudes fainterthan R ~ 19. We show that there is an enhancement in the Coma line ofsight of field galaxies compared to classical field counts. This can beexplained by the contribution of groups and of a distant z ~ 0.5 clusteralong the line of sight. The result is that the Coma GLF appears toturn-over or at least to become flat for the faint galaxies. We suggestthat this is due to environmental effects.

Gravo-thermal properties and formation of elliptical galaxies
We have analyzed a sample of galaxies belonging to three clusters: Coma,Abell 85, and Abell 496 (real galaxies) and a sample of simulatedelliptical galaxies formed in a hierarchical merging scheme (virtualgalaxies). We use the Sérsic law to describe their light profile.The specific entropy (Boltzmann-Gibbs definition) is then calculatedsupposing that the galaxies behave as spherical, isotropic,one-component systems. We find that, to a good approximation ( ~ 10%),both real and virtual galaxies have an almost unique specific entropy.Within this approximation the galaxies are distributed in a thin planein the space defined by the three Sérsic law parameters, which wecall the Entropic Plane. A further analysis shows that both real andvirtual galaxies are in fact located on a thin line, thereforeindicating the existence of another - and yet unknown - physicalproperty, besides the uniqueness of the specific entropy. A more carefulexamination of the virtual galaxies sample indicates a very smallincrease of their specific entropy with merging generation. In ahierarchical scenario, this implies a correlation between the specificentropy and the total mass, which is indeed seen in our data. Thescatter and tilt of the Entropic Line, defined by Lima Neto et al.(1999a), are reduced when this correlation is taken into account.Although one cannot distinguish between various generations for realgalaxies, the distribution of their specific entropy is similar to thatin the virtual sample, suggesting that hierarchical merging processescould be an important mechanism in the building of elliptical galaxies.Based on observations collected at the Canada France Hawaii Telescopeand at the European Southern Observatory, La Silla, Chile

The specific entropy of elliptical galaxies: an explanation for profile-shape distance indicators?
Dynamical systems in equilibrium have a stationary entropy; we suggestthat elliptical galaxies, as stellar systems in a stage ofquasi-equilibrium, may have in principle a unique specific entropy. Thisuniqueness, a priori unknown, should be reflected in correlationsbetween the fundamental parameters describing the mass (light)distribution in galaxies. Following recent photometrical work onelliptical galaxies by Caon et al., Graham & Colless and Prugniel& Simien, we use the Sérsic law to describe the light profileand an analytical approximation to its three-dimensional deprojection.The specific entropy is then calculated, supposing that the galaxybehaves as a spherical, isotropic, one-component system in hydrostaticequilibrium, obeying the ideal-gas equations of state. We predict arelation between the three parameters of the Sérsic law linked tothe specific entropy, defining a surface in the parameter space, an`Entropic Plane', by analogy with the well-known Fundamental Plane. Wehave analysed elliptical galaxies in two rich clusters of galaxies (Comaand ABCG 85) and a group of galaxies (associated with NGC 4839, nearComa). We show that, for a given cluster, the galaxies follow closely arelation predicted by the constant specific entropy hypothesis with atypical dispersion (one standard deviation) of 9.5per cent around themean value of the specific entropy. Moreover, assuming that the specificentropy is also the same for galaxies of different clusters, we are ableto derive relative distances between Coma, ABGC 85, and the group of NGC4839. If the errors are due only to the determination of the specificentropy (about 10per cent), then the error in the relative distancedetermination should be less than 20per cent for rich clusters. Wesuggest that the unique specific entropy may provide a physicalexplanation for the distance indicators based on the Sérsicprofile put forward by Young & Currie and recently discussed byBinggeli & Jerjen.

E and S0 galaxies in the central part of the Coma cluster: ages, metal abundances and dark matter
Mean ages and metal abundances are estimated for the stellar populationsin a sample of 115 E and S0 galaxies in the central 64 arcmin × 70arcmin of the Coma cluster. The estimates are based on the absorptionline indices Mg2, and HβG, and themass-to-light ratios (M/L). Single stellar population models fromVazdekis et al. were used to transform from the measured line indicesand M/L ratios to mean ages and mean metal abundances ([Mg/H] and[Fe/H]). The non-solar abundance ratios [Mg/Fe] were taken into accountby assuming that for a given age and iron abundance, a [Mg/Fe] differentfrom solar will affect the Mg2 index but not the M/L ratio orthe and HβG indices. The derived ages andabundances are the luminosity-weighted mean values for the stellarpopulations in the galaxies.By comparing the mean ages derived from theMg2-HβG diagram with those derived from theMg2-M/L diagram, we estimate the variations of the fractionof dark matter. Alternatively, the difference between the two estimatesof the mean age may be caused by variations in the initial mass functionor any non-homology of the galaxies.The distributions of the derived mean ages and abundances show thatthere are real variations in both the mean ages and the abundances. Wefind an intrinsic rms scatter of [Mg/H], [Fe/H] and [Mg/Fe] of 0.2 dex,and an intrinsic rms scatter of the derived ages of 0.17 dex. Themagnesium abundances [Mg/H] and the abundance ratios [Mg/Fe] are bothstrongly correlated with the central velocity dispersions of thegalaxies, while the iron abundances [Fe/H] are uncorrelated with thevelocity dispersions. Further, [Mg/H] and [Fe/H] are stronglyanticorrelated with the mean ages of the galaxies. This is not the casefor [Mg/Fe].We have tested whether the slopes of the scaling relations between theglobal parameters for the galaxies (the Mg2-σ relation,the -σ relation, the HβG-σrelation and the Fundamental Plane) are consistent with the relationbetween the ages, the abundances and the velocity dispersions. We findthat all the slopes, except the slope of the Fundamental Plane, can beexplained in a consistent way as resulting from a combination betweenvariations of the mean ages and the mean abundances as functions of thevelocity dispersions. The slope of the Fundamental Plane is `steeper'than predicted from the variations in the ages and abundances.Because of the correlation between the mean ages and the meanabundances, substantial variations in the ages and the abundances arepossible while maintaining a low scatter of all the scaling relations.When this correlation is taken into account, the observed scatter of thescaling relations is consistent with the rms scatter in the derived agesand abundances at a given velocity dispersion.

The peculiar motions of early-type galaxies in two distant regions - II. The spectroscopic data
We present the spectroscopic data for the galaxies studied in the EFARproject, which is designed to measure the properties and peculiarmotions of early-type galaxies in two distant regions. We have obtained1319 spectra of 714 early-type galaxies over 33 observing runs on 10different telescopes. We describe the observations and data reductionsused to measure redshifts, velocity dispersions and the Mgb and Mg_2Lick linestrength indices. Detailed simulations and intercomparison ofthe large number of repeat observations lead to reliable error estimatesfor all quantities. The measurements from different observing runs arecalibrated to a common zero-point or scale before being combined,yielding a total of 706 redshifts, 676 velocity dispersions, 676 Mgblinestrengths and 582 Mg_2 linestrengths. The median estimated errors inthe combined measurements are Delta cz=20 km s^-1, Delta sigma sigma=9.1 per cent, Delta Mgb Mgb=7.2 per cent and Delta Mg_2=0.015 mag.Comparison of our measurements with published data sets shows nosystematic errors in the redshifts or velocity dispersions, and onlysmall zero-point corrections to bring our linestrengths on to thestandard Lick system. We have assigned galaxies to physical clusters byexamining the line-of-sight velocity distributions based on EFAR andZCAT redshifts, together with the projected distributions on the sky. Wederive mean redshifts and velocity dispersions for these clusters, whichwill be used in estimating distances and peculiar velocities and to testfor trends in the galaxy population with cluster mass. The spectroscopicparameters presented here for 706 galaxies combine high-quality data,uniform reduction and measurement procedures, and detailed erroranalysis. They form the largest single set of velocity dispersions andlinestrengths for early-type galaxies published to date.

Fundamental plane distances to early-type field galaxies in the South Equatorial Strip. I. The spectroscopic data
Radial velocities and central velocity dispersions are derived for 238E/S0 galaxies from medium-resolution spectroscopy. New spectroscopicdata have been obtained as part of a study of the Fundamental Planedistances and peculiar motions of early-type galaxies in three selecteddirections of the South Equatorial Strip, undertaken in order toinvestigate the reality of large-scale streaming motion; results of thisstudy have been reported in Müller et al. (1998). The new APM SouthEquatorial Strip Catalog (-17fdg 5 < delta < +2fdg 5) was used toselect the sample of field galaxies in three directions: (1) 15h10 -16h10; (2) 20h30 - 21h50; (3) 00h10 - 01h30. The spectra obtained have amedian S/N per Å of 23, an instrumental resolution (FWHM) of ~ 4Å, and the spectrograph resolution (dispersion) is ~ 100 kms-1. The Fourier cross-correlation method was used to derivethe radial velocities and velocity dispersions. The velocity dispersionshave been corrected for the size of the aperture and for the galaxyeffective radius. Comparisons of the derived radial velocities with datafrom the literature show that our values are accurate to 40 kms-1. A comparison with results from Jo rgensen et al. (1995)shows that the derived central velocity dispersion have an rms scatterof 0.036 in log sigma . There is no offset relative to the velocitydispersions of Davies et al. (1987).

The tilt of the Fundamental Plane of early-type galaxies: wavelength dependence
The photometric parameters R_e and mu_e of 74 early-type (E+S0+S0a)galaxies within 2 deg projected radius from the Coma cluster centre arederived for the first time in the near-infrared H band (1.65 μm).These are used, coupled with measurements of the central velocitydispersion sigma found in the literature, to determine the H-bandFundamental Plane (FP) relation of this cluster: logR_e~Alogsigma+bmu_e. The same procedure is applied to previouslyavailable photometric data in the BVrIK bands, to perform amultiwavelength study of the FP relation. Because systematicuncertainties in the value of the FP parameters are introduced both bythe choice of the fitting algorithm used to derive the FP template, andby the presence of statistical biases connected with the sampleselection procedure, we emphasize the importance of deriving the FPparameters in the six different photometric bands using an identicalfitting algorithm, and appropriate corrections to eliminate the effectsof sample incompleteness. Once these corrections are applied, we findthat the FP b coefficient is stable with wavelength (~0.35+/-0.02),while the A coefficient increases significantly with increasingwavelength: from ~1.35 to ~1.70 (+/-0.1) from the optical to theinfrared, in agreement with an earlier result presented recently byPahre and Djorgovski. Therefore the slope of the FP relation, althoughchanging with wavelength, never approaches the virial theoremexpectation A=2.0 when the central velocity dispersion only is used tobuild the FP. We also find that the magnitude of the slope change can beentirely explained by the presence of the well-known relation betweencolour and magnitude among early-type galaxies. We conclude that thetilt of the Fundamental Plane is significant, and must be the result ofsome form of broken homology among early-type galaxies, while itswavelength dependence derives from whatever mechanism (currently thepreferred one is the existence of a mass-metal content sequence)produces the colour-magnitude relation in those galaxies.

The Universality of the Fundamental Plane of E and S0 Galaxies: Spectroscopic Data
We present central velocity dispersion measurements for 325 early-typegalaxies in eight clusters and groups of galaxies, including newobservations for 212 galaxies. The clusters and groups are the A262,A1367, Coma (A1656), A2634, Cancer, and Pegasus Clusters and the NGC 383and NGC 507 Groups. The new measurements were derived frommedium-dispersion spectra that cover 600 Å centered on the Mg I btriplet at lambda ~ 5175 Å. Velocity dispersions were measuredusing the Tonry & Davis cross-correlation method, with a typicalaccuracy of 6%. A detailed comparison with other data sources is made.

The Universality of the Fundamental Plane of E and S0 Galaxies: Sample Definition and I-Band Photometric Data
As part of a project to compare the fundamental plane and Tully-Fisherdistance scales, we present here I-band CCD photometry for 636early-type galaxies in eight clusters and groups of galaxies. These arethe A262, A1367, Coma (A1656), A2634, Cancer and Pegasus Clusters, andthe NGC 383 and NGC 507 Groups. Sample selection, cluster properties,and cluster membership assignment criteria are discussed. We presentphotometric parameters that are used in the fundamental plane relation,the effective radius r_e, and the effective surface brightness mu_e, asderived from a r^1/4 fit to the observed radial photometric profile ofeach galaxy. A comparison with similar data found in the literature forthe Coma Cluster shows that large systematic uncertainties can beintroduced in the measurement of r_e and mu_e by the particular methodused to derive those parameters. However, the particular combination ofthese two parameters that enters in the fundamental plane relation is aquantity that can be measured with high accuracy.

Total magnitude, radius, colour indices, colour gradients and photometric type of galaxies
We present a catalogue of aperture photometry of galaxies, in UBVRI,assembled from three different origins: (i) an update of the catalogueof Buta et al. (1995) (ii) published photometric profiles and (iii)aperture photometry performed on CCD images. We explored different setsof growth curves to fit these data: (i) The Sersic law, (ii) The net ofgrowth curves used for the preparation of the RC3 and (iii) A linearinterpolation between the de Vaucouleurs (r(1/4) ) and exponential laws.Finally we adopted the latter solution. Fitting these growth curves, wederive (1) the total magnitude, (2) the effective radius, (3) the colourindices and (4) gradients and (5) the photometric type of 5169 galaxies.The photometric type is defined to statistically match the revisedmorphologic type and parametrizes the shape of the growth curve. It iscoded from -9, for very concentrated galaxies, to +10, for diffusegalaxies. Based in part on observations collected at the Haute-ProvenceObservatory.

The peculiar motions of early-type galaxies in two distant regions. III - The photometric data
We present R-band CCD photometry for 776 galaxies observed in the EFARproject. The photometry is compared with photoelectric data, showingthat a common zero-point good to better than 1 per cent and a precisionof 0.03 mag per zero-point have been achieved. We give the circularlyaveraged surface brightness profiles and the photometric parameters ofthe 762 program galaxies, D(n) diameters, half-luminosity radii, totalmagnitudes, and average effective surface brightnesses. More than 80percent of the profiles have a global S/N ratio larger than 300. Theextrapolation needed to derive total magnitudes is less than 10 percentfor 80 percent of the fits. More than 80 percent of the galaxies havemean effective surface brightness larger than the observed skybrightness. In 90 percent of the profiles the estimate of thecontamination of the sky by the galaxy light is less than 1 percent. Wederive total magnitudes and half-luminosity radii to better than 0.15mag and 25 percent, respectively, for 90 percent of our sample. Incontrast, external comparisons show that data in the literature can bestrongly affected by systematic errors due to large extrapolations,small radial range, sky subtraction errors, seeing effects, and the useof a simple R exp 1/4 fit. The resulting errors can easily amount tomore than 0.5 mag in the total magnitudes and 50 percent in thehalf-luminosity radii.

The Relative Distance Between the Clusters of Galaxies A2634 and Coma
The Tully-Fisher (TF) and Fundamental Plane (FP) relations are used toobtain two independent estimates of the relative distance between theclusters A2634 and Coma. Previously published studies of A2634 showed alarge discrepancy between the distance estimates obtained with the TFand the \dns\ relations, questioning the reliability ofredshift-independent distances obtained using these relations. Becauseof the importance of this issue, we have obtained new distance estimatesfor A2634, based on much larger samples than previously used, andselected according to rigorous membership criteria. New I band CCDphotometry for 175 galaxies, new 21 cm observations of 11 galaxies, andnew velocity dispersion measurements for 62 galaxies are used togetherwith previously published data in building these samples. As part of alarger project to compare the TF and FP distance-scales, we haveobtained a new FP template using for the first time I band photometry.The template is derived using a sample of 109 E and S0 galaxies that aremembers of the Coma cluster. Its parameters are in very good agreementwith recent determinations of the FP obtained at shorter wavelengths.The uncertainty with which the FP can provide peculiar velocityestimates for single galaxies is =~ 0.43 mag in the distance modulus, or20% of the distance. This uncertainty is slightly larger than thetypical uncertainty that characterizes TF estimates. However thisdisadvantage is partly compensated by the fact that the sampleincompleteness bias has a less severe effect on FP cluster distanceestimates than it has on the corresponding TF distance estimates. Also,cluster membership is more readily established for early-type objectsthan for spirals. After the appropriate corrections for sampleincompleteness have been taken into account, we find the TF and FPdistance estimates to be in good agreement, both indicating that A2634has a negligibly small peculiar velocity with respect to the CosmicMicrowave Background reference frame. Because of the high accuracy withwhich the two distance estimates have been obtained, their agreementstrongly supports the universality of the TF and FP relations, andtherefore their reliability for the estimate of redshift-independentdistances.

The Peculiar Motions of Early-Type Galaxies in Two Distant Regions. I. Cluster and Galaxy Selection
The EFAR project is a study of 736 candidate elliptical galaxies in 84clusters lying in two regions, toward Hercules-Corona Borealis andPerseus-Pisces-Cetus, at distances cz ~ 6000-15,000 km s^-1^. In thispaper (the first of a series), we present an introduction to the EFARproject and describe in detail the selection of the clusters andgalaxies in our sample. Fundamental data for the galaxies and clustersare given, including accurate new positions for each galaxy andredshifts for each cluster. The galaxy selection functions aredetermined by using diameters measured from Schmidt sky survey imagesfor 2185 galaxies in the cluster fields. Future papers in this serieswill present the spectroscopic and photometric observations of thissample, investigate the properties of the fundamental plane forelliptical galaxies, and determine the large- scale peculiar velocityfields in these two regions of the universe.

Morphological classification and structural parameters for early-type galaxies in the Coma cluster.
We present the results of an isophotal shape analysis of three samplesof galaxies in the Coma cluster. Quantitative morphology, together withstructural and photometric parameters, is given for each galaxy. Specialemphasis has been placed on the detailed classification of early-typegalaxies. The three samples are: i) a sample of 97 early-type galaxiesbrighter than m_B_=17.00 falling within one degree from the center ofthe Coma cluster; these galaxies were observed with CCD cameras, mostlyin good to excellent resolution conditions; ii) a magnitude completesample of 107 galaxies of all morphological types down to m_B_=17.00falling in a circular region of 50arcmin diameter, slightly offcenteredto the North-West of the cluster center; the images for this and thenext sample come from digitized photographic plates; iii) a completecomparison sample of 26 galaxies of all morphological types down tom_R_=16.05 (or m_B_=~17.5), also in a region of 50arcmin diameter, butcentered 2.6degrees West of the cluster center. The reliability of ourmorphological classifications and structural parameters of galaxies,down to the adopted magnitude limits, is assessed by comparing theresults on those galaxies for which we had images taken with differentinstrumentation and/or seeing conditions, and by comparing our resultswith similar data from other observers.

Unveiling hidden structures in the Coma cluster.
We have assembled a large data-set of 613 galaxy redshifts in the Comacluster, the largest presently available for a cluster of galaxies. Wehave defined a sample of cluster members complete to b_26.5_=20.0, usinga membership criterion based on the galaxy velocity, when available, oron the galaxy magnitude and colour, otherwise. Such a data set allows usto define nearly complete samples within a region of 1h^-1^Mpc radius,with a sufficient number of galaxies per sample to make statisticalanalyses possible. Using this sample and the ROSAT PSPC X-ray image ofthe cluster, we have re-analyzed the structure and kinematics of Coma,by applying the wavelet and adaptive kernel techniques. A strikingcoincidence of features is found in the distributions of galaxies andhot intracluster gas. The two central dominant galaxies, NGC 4874 andNGC 4889, are surrounded by two galaxy groups, mostly populated withgalaxies brighter than b_26.5_=17 and well separated in velocity space.On the contrary, the fainter galaxies tend to form a single smoothstructure with a central peak coinciding in position with a secondarypeak detected in X-rays, and located between the two dominant galaxies;we suggest to identify this structure with the main body of the Comacluster. A continuous velocity gradient is found in the centraldistribution of these faint galaxies, a probable signature of tidalinteractions rather than rotation. There is evidence for a boundpopulation of bright galaxies around other brightest cluster members.Altogether, the Coma cluster structure seems to be better traced by thefaint galaxy population, the bright galaxies being located insubclusters. We discuss this evidence in terms of an ongoing accretionof groups onto the cluster.

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