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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

Velocity bias offers a single parameter ($b_v$) description of the likely segregation of mass and light in a galaxy cluster. The relation between the projected mass profile and the light profile, normalized by the virial $M/L$, is presented…

Astrophysics · Physics 2009-10-22 R. G. Carlberg

A specific modification of Newtonian dynamics known as MOND has been shown to reproduce the dynamics of most astrophysical systems at different scales without invoking non-baryonic dark matter (DM). There is, however, a long-standing…

Astrophysics of Galaxies · Physics 2022-11-09 M. Lopez-Corredoira , J. E. Betancort-Rijo , R. Scarpa , Z. Chrobakova

The collision-free Boltzmann equation is used in the context of brane-$f(R)$ gravity to derive the virial theorem. It is shown that the virial mass is proportional to certain geometrical terms appearing in the Einstein field equations and…

General Relativity and Quantum Cosmology · Physics 2015-06-04 A. S. Sefiedgar , Z. Haghani , H. R. Sepangi

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

Aims. This work considers the Virgo cluster of galaxies, focusing on its structure, kinematics, and morphological landscape. Our principal aim is to estimate the virial mass of the cluster. For this purpose, we present a sample of 1537…

Astrophysics of Galaxies · Physics 2020-03-25 Olga G. Kashibadze , Igor D. Karachentsev , Valentina E. Karachentseva

Velocity bias is a reduction of the velocity dispersion of tracer galaxies in comparison to the velocity dispersion of the underlying mass field. There are two distinct forms of velocity bias. The single particle velocity reduction,…

Astrophysics · Physics 2008-02-03 Ray Carlberg

[Abridged] We present an analysis of the relation between the masses of cluster- and group-sized halos, extracted from $\Lambda$CDM cosmological N-body and hydrodynamic simulations, and their velocity dispersions, at different redshifts…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-04 Emiliano Munari , Andrea Biviano , Stefano Borgani , Giuseppe Murante , Dunja Fabjan

A sample of 197 X-ray emitting clusters of galaxies is considered in the context of Milgrom's modified Newtonian dynamics (MOND). It is shown that the gas mass, extrapolated via an assumed $\beta$ model to a fixed radius of 3 Mpc, is…

Astrophysics · Physics 2009-10-30 R. H. Sanders

We explore the mass distribution of material associated with galaxies from the observation of gravitational weak lensing for the galaxy mass correlation function with the aid of $N$-body simulations of dark matter. The latter is employed to…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Shogo Masaki , Masataka Fukugita , Naoki Yoshida

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 investigate effects of baryon dissipation on the dark matter virial scaling relation between total mass and velocity dispersion and the velocity bias of galaxies in groups and clusters using self-consistent cosmological simulations. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Erwin T. Lau , Daisuke Nagai , Andrey V. Kravtsov

If a galaxy cluster is effectively in dynamical equilibrium then all galaxy populations within the cluster must have distributions in velocity and position that individually reflect the same underlying mass distribution, although the…

Astrophysics · Physics 2016-08-30 Carlberg , Yee , Ellingson , Morris , Abraham , Gravel , Pritchet , Smecker-Hane , Hartwick , Hesser , Hutchings , Oke

We generalize the virial theorem in f(R) modified gravity using the collisionless Boltzmann equation. We find supplementary geometric terms in the modified Einstein equation providing an effective contribution to the gravitational energy.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

For many massive compact galaxies, their dynamical masses ($M_\mathrm{dyn} \propto \sigma^2 r_\mathrm{e}$) are lower than their stellar masses ($M_\star$). We analyse the unphysical mass discrepancy $M_\star / M_\mathrm{dyn} > 1$ on a…

Astrophysics of Galaxies · Physics 2015-02-02 L. Peralta de Arriba , M. Balcells , J. Falcón-Barroso , I. Trujillo

We evaluate in a homogeneous way the optical masses of 170 nearby clusters (z< 0.15). The sample includes both data from the literature and the new ENACS data (Katgert et al. 1996, 1998). On the assumption that mass follows the galaxy…

Astrophysics · Physics 2009-10-30 M. Girardi , G. Giuricin , F. Mardirossian , M. Mezzetti , W. Boschin

A powerful technique to calculate gravitational radiation from binary systems involves a perturbative expansion: if the masses of the two bodies are very different, the "small" body is treated as a point particle of mass $m_p$ moving in the…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Enrico Barausse , Emanuele Berti , Vitor Cardoso , Scott A. Hughes , Gaurav Khanna

Rich and massive clusters of galaxies at intermediate redshift are capable of magnifying and distorting the images of background galaxies. A comparison of different mass estimators among these clusters can provide useful information about…

Astrophysics · Physics 2009-10-30 Xiang-Ping Wu , Tzihong Chiueh , Li-Zhi Fang , Yan-Jie Xue

Hierarchical gravitational clustering creates galaxies that usually do not fully share the dynamical history of an average particle in the mass field. In particular, galaxy tracers identified in numerical simulations can have individual…

Astrophysics · Physics 2009-10-22 R. G. Carlberg

I review the data relating to the appearance of the missing mass problem at a particular acceleration scale. Rotation curves are examined in detail, with emphasis on the empirical connection between baryonic and total mass distributions.…

Astrophysics · Physics 2007-05-23 Stacy McGaugh