… of the velocity ellipsoid, but if the cluster light is more concentrated than the cluster mass,
then the virial mass will be an underestimate of the total mass. This assumption that the …

… plots dedicated to the virial equilibrium of our clusters, we also … the diagram is given by its
virial equilibrium and by a variable … that ETGs and clusters share the same virial relations. The …

… density estimated from weak gravitational lensing analyses to the virial mass used
throughout this paper. Note, however, that we have implicitly assumed that any foreground or …

… have r − W1 < 5.5, particularly blue galaxies with 0.6 < z < 0.8. In this study, we assume that
… and virial mass dependence of clustering is the same for red galaxies as for blue galaxies. …

… applying the virial theorem to estimate ~ and we give a detailed discussion of the calculations
in § Vii. These virial theorems relate the correlation functions for the galaxy distribution to …

… the dynamical mass of galaxy clusters with high … mass measurement of clusters that uses
the peculiar velocities of neighboring galaxies located beyond the virial radius of a cluster…

… of galaxies. The resulting mass function of groups and clusters of galaxies ranges from M
~ 1012 to … The virial mass estimate for clusters is also used, for comparison. Since …

… that fits both galaxy clustering and the evolution of the stellar mass function using resolved
… M peak is defined as the peak virial mass a (sub-)halo achieves over its history. In our halo …

… two) of predicted dynamical mass derived from the virial theorem with … virial theorem using
the velocity dispersion of cluster members along the line of sight rather than using the cluster …

… the mass function of galaxy clusters, based on optical virial mass estimates for a large sample
of 152 nearby (z ¹ 0.15) Abell-ACO clusters, … mass function is reliably estimated for masses …