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High-resolution N-body simulations are used to investigate systematic trends in the mass profiles and total masses of clusters as derived from 3 simple estimators: (1) the weak gravitational lensing shear field under the assumption of an…

The two most common mass estimators that use velocity dispersions and positions of objects in a stellar system, the virial mass estimator (VME) and the projected mass estimator (PME), are revisited and tested using N-body experiments. We…

Astrophysics · Physics 2007-05-23 H. Aceves , J. Perea

The projected (PME) and virial mass estimator (VME) are revisited and tested using an N-body equilibrium system. It is found that the PME can overestimate the mass by approx 40% if a cluster is sampled only about its effective radius, Re.…

Astrophysics · Physics 2007-05-23 Hector Aceves , Jaime Perea

We investigate the impact of mergers on the mass estimation of galaxy clusters using $N$-body + hydrodynamical simulation data. We estimate virial mass from these data and compare it with real mass. When the smaller subcluster's mass is…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Motokazu Takizawa , Ryo Nagino , Kyoko Matsushita

We analyse a catalogue of simulated clusters within the theoretical framework of the Spherical Collapse Model (SCM), and demonstrate that the relation between the infall velocity of member galaxies and the cluster matter overdensity can be…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Guido Cupani , Marino Mezzetti , Fabio Mardirossian

We use the Cluster-EAGLE simulations to explore the velocity bias introduced when using galaxies, rather than dark matter particles, to estimate the velocity dispersion of a galaxy cluster, a property known to be tightly correlated with…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-27 Thomas Joshua Armitage , David. J. Barnes , Scott. T. Kay , Yannick M. Bahé , Claudio Dalla Vecchia , Robert A. Crain , Tom Theuns

We present a new determination of the cluster mass function and velocity dispersion function in a volume $\sim10^7 h^3$Mpc$^{-3}$ using the Fourth Data Release of the Sloan Digital Sky Survey (SDSS). We use the caustic technique to remove…

Astrophysics · Physics 2008-11-26 Kenneth Rines , Antonaldo Diaferio , Priyamvada Natarajan

We use a matched filter algorithm to find and study clusters in both N-body simulations artificially populated with galaxies and the 2MASS survey. In addition to numerous checks of the matched filter algorithm, we present results on the…

Astrophysics · Physics 2008-11-07 C. S. Kochanek , Martin White , J. Huchra , L. Macri , T. H. Jarrett , S. E. Schneider , J. Mader

We test the reliability of mass determination in clusters of galaxies by X-ray observations. The true mass in cluster models is compared to the mass derived by the X-ray emission and X-ray temperature of a model assuming hydrostatic…

Astrophysics · Physics 2016-08-30 Sabine Schindler

We revisit the estimate of the mass fluctuation amplitude, sigma_8, from the observational X-ray cluster abundance. In particular, we examine the effect of the systematic difference between the cluster virial mass estimated from the X-ray…

Astrophysics · Physics 2015-06-24 Mamoru Shimizu , Tetsu Kitayama , Shin Sasaki , Yasushi Suto

The mass function of clusters of galaxies is determined from 400 deg^2 of early commissioning imaging data of the Sloan Digital Sky Survey; ~300 clusters in the redshift range z = 0.1 - 0.2 are used. Clusters are selected using two…

Forthcoming large-scale spectroscopic surveys will soon provide data on thousands of galaxy clusters. It is important that the systematics of the various mass estimation techniques are well understood and calibrated. We compare three…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-07 Thomas J. Armitage , Scott T. Kay , David J. Barnes , Yannick M. Bahé , Claudio Dalla Vecchia

The caustic technique measures the mass of galaxy clusters in both their virial and infall regions and, as a byproduct, yields the list of cluster galaxy members. Here we use 100 galaxy clusters with mass M200>=1E14 Msun/h extracted from a…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-12 Ana Laura Serra , Antonaldo Diaferio

We investigate a sample of 14 galaxy clusters from the GOGREEN and GCLASS (GG) spectroscopic datasets within the redshift range $(0.87 \leq z \leq 1.37)$ and cluster masses $\mathrm{M}_{200} \gtrsim 2\times 10^{14}$ \hm. Using the highly…

Astrophysics of Galaxies · Physics 2026-01-06 Shrouk Abdulshafy , Mohamed H. Abdullah , Gillian Wilson , Michael L. Balogh , Raouf H. Mabrouk

We present a study of the statistical properties of three velocity dispersion and mass estimators, namely biweight, gapper and standard deviation, in the small number of galaxies regime ($N_{\rm gal} \le 75$). Using a set of 73 numerically…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-09 A. Ferragamo , J. A. Rubiño-Martín , J. Betancort-Rijo , E. Munari , B. Sartoris , R. Barrena

Weak gravitational lensing has been used extensively in the past decade to constrain the masses of galaxy clusters, and is the most promising observational technique for providing the mass calibration necessary for precision cosmology with…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 Rachel Mandelbaum , Uros Seljak , Tobias Baldauf , Robert E. Smith

This article is the second in a series in which we perform an extensive comparison of various galaxy-based cluster mass estimation techniques that utilise the positions, velocities and colours of galaxies. Our aim is to quantify the…

The first building block to use galaxy clusters in astrophysics and cosmology is the accurate determination of their mass. Two of the most well regarded direct mass estimators are based on weak lensing (WL) determinations or X-ray analyses…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-15 Mauro Sereno , Stefano Ettori

Using a set of 73 numerically simulated galaxy clusters, we have characterised the statistical and physical biases for three velocity dispersion and mass estimators, namely biweight, gapper and standard deviation, in the small number of…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-12 Antonio Ferragamo , José Alberto Rubiño-Martín , Juan Betancort-Rijo , Emiliano Munari , Barbara Sartoris , Rafael Barrena

We investigate the ability of machine learning to infer the virial mass ($M_{\rm vir}$) and the scale radius ($r_{\rm s}$) of galaxy clusters from their observables. Using the Uchuu--UniverseMachine galaxy catalog at $z=0.093$, we generate…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-20 Hirobumi Tominaga , Asuka Nakamura , Tomoaki Ishiyama , Mohamed H. Abdullah
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