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Mass modelling of spherical systems through internal motions is hampered by the mass/velocity anisotropy (VA) degeneracy inherent in the Jeans equation, as well as the lack of techniques that are both fast and adaptable to realistic…

宇宙学与河外天体物理 · 物理学 2014-02-25 Gary A. Mamon , Andrea Biviano , Gwenaël Boué

We present a new method of constraining the mass and velocity anisotropy profiles of galaxy clusters from kinematic data. The method is based on a model of the phase space density which allows the anisotropy to vary with radius between two…

宇宙学与河外天体物理 · 物理学 2015-05-13 Radoslaw Wojtak , Ewa L. Lokas , Gary A. Mamon , Stefan Gottloeber

We measure the velocity anisotropy profile $\beta(r)$ of different galaxy cluster member populations by analysing the stacked projected phase space of nine massive ($M_\mathrm{200c}>7\times10^{14}$ M$_\odot$) galaxy clusters at intermediate…

星系天体物理 · 物理学 2026-04-15 E. Maraboli , A. Biviano , C. Grillo , A. Mercurio , L. Pizzuti , P. Rosati , M. D'Addona

We present an upgraded version of \textsc{MG-MAMPOSSt}, an extension of the \textsc{MAMPOSSt} algorithm that performs Bayesian fits of models of mass and velocity anisotropy profiles to the distribution of tracers in projected phase space,…

宇宙学与河外天体物理 · 物理学 2021-07-13 Lorenzo Pizzuti , Ippocratis D. Saltas , Luca Amendola

We use an unprecedented data-set of about 600 redshifts for cluster members, obtained as part of a VLT/VIMOS large programme, to constrain the mass profile of the z=0.44 cluster MACS J1206.2-0847 over the radial range 0-5 Mpc (0-2.5 virial…

We present an analytic approach to lift the mass-anisotropy degeneracy in clusters of galaxies by utilizing the line-of-sight velocity dispersion of clustered galaxies jointly with weak lensing inferred masses. More specifically, we solve…

宇宙学与河外天体物理 · 物理学 2019-05-28 Alejo Stark , Christopher J. Miller , Vitali Halenka

In the context of the CNOC1 cluster survey, redshifts were obtained for galaxies in 16 clusters. The resulting sample is ideally suited for an analysis of the internal velocity and mass distribution of clusters. Previous analyses of this…

天体物理学 · 物理学 2009-10-31 R. P. van der Marel , J. Magorrian , R. G. Carlberg , H. K. C. Yee , E. Ellingson

The velocity anisotropy profiles, $\beta(r)$, of galaxy clusters are directly related to the shape of the orbits of their member galaxies. Knowledge of $\beta(r)$ is important to understand the assembly process of clusters and the…

We constrain the internal dynamics of a stack of 10 clusters from the GCLASS survey at 0.87<z<1.34. We determine the stack cluster mass profile M(r) using the MAMPOSSt algorithm of Mamon et al., the velocity anisotropy profile beta(r) from…

宇宙学与河外天体物理 · 物理学 2016-10-12 A. Biviano , R. F. J. van der Burg , A. Muzzin , B. Sartoris , G. Wilson , H. K. C. Yee

In this paper we examine how well galaxies and intra-cluster gas trace the gravitational potential of clusters. Utilizing mass profiles derived from gravitational lensing and X-ray observations, coupled with measured galaxy velocities, we…

天体物理学 · 物理学 2009-11-11 Latchezar Benatov , Ken Rines , Priyamvada Natarajan , Andrey Kravtsov , Daisuke Nagai

We use numerical simulations to explore biases that arise in dynamical estimates of the mean mass profile for a collection of galaxy clusters that have been stacked to make a composite. There are three types of bias. One arises from…

宇宙学与河外天体物理 · 物理学 2025-06-16 Yan-Chuan Cai , Nick Kaiser , Shaun Cole , Carlos Frenk

We probe the dynamical mass profiles of 10 galaxy clusters from the HIghest X-ray FLUx Galaxy Cluster Sample (HIFLUGCS) using galaxy kinematics. We numerically solve the spherical Jeans equation, and parameterize the dynamical mass profile…

Mass-modeling methods are used to infer the gravitational field of stellar systems, from globular clusters to giant elliptical galaxies. While many methods exist, most require assumptions about the form of the underlying distribution…

星系天体物理 · 物理学 2026-04-17 Andrés Bañares-Hernández , Justin I. Read , Mariana P. Júlio

The Bayesian MAMPOSSt mass/orbit modeling algorithm is used to jointly fit the distribution of elliptical, spiral (and irregular), and lenticular galaxies in projected phase space, on 3 stacked clusters (with normalized positions and…

星系天体物理 · 物理学 2019-11-06 G. A. Mamon , A. Cava , A. Biviano , A. Moretti , B. Poggianti , D. Bettoni

Traditionally, the mass / velocity anisotropy degeneracy (MAD) inherent in the spherical, stationary, non-streaming Jeans equation has been handled by assuming a mass profile and fitting models to the observed kinematical data. Here, the…

宇宙学与河外天体物理 · 物理学 2010-02-11 Gary A. Mamon , Gwenael Boué

The mass distribution of galaxy clusters can be determined from the study of the projected phase-space distribution of cluster galaxies. The main advantage of this method as compared to others, is that it allows determination of cluster…

天体物理学 · 物理学 2016-08-30 Andrea Biviano

We provide the first direct lifting of the mass/anisotropy degeneracy for a cluster of galaxies, by jointly fitting the line of sight velocity dispersion and kurtosis profiles of the Coma cluster, assuming an NFW tracer density profile, a…

天体物理学 · 物理学 2007-05-23 Gary A. Mamon , Ewa L. Lokas , Teresa Sanchis

We analyze the internal dynamics of 43 non-interacting clusters which are selected from the 2dF Galaxy Redshift Survey 100k public release. We join together the 43 clusters into an ensemble cluster by appropriately scaling their galaxy…

天体物理学 · 物理学 2009-11-07 Andrea Biviano , Marisa Girardi

We present \textsc{MG-MAMPOSSt}, a license-free code to constrain modified gravity models by reconstructing the mass profile of galaxy clusters with the kinematics of the cluster's member galaxies. We describe the main features of the code…

宇宙学与河外天体物理 · 物理学 2022-04-12 Lorenzo Pizzuti

The galaxy phase-space distribution in galaxy clusters provides insights into the formation and evolution of cluster galaxies, and it can also be used to measure cluster mass profiles. We present a dynamical study based on $\sim$3000…

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