Calculation of the Anisotropy Parameter for Galaxy Clusters
DOI:
https://doi.org/10.15407/ujpe69.6.367Keywords:
galaxies, galaxy clusters, surface density, anisotropy parameter, evolutionAbstract
This work has analyzed the observational data on galaxy clusters from SDSS DR8. Based on the observational data on the distribution of a surface density, the values of the anisotropy parameter are determined for 31 clusters. A classification of galaxy clusters based on the velocity anisotropy parameters is proposed, according to which the clusters are divided into three groups. The relationship between the anisotropy parameter and the main physical characteristics of galaxy clusters has been studied.
References
G.O. Abell. The distribution of rich clusters of galaxies. Astrophysical J. Supplement. 3, 211 (1958).
https://doi.org/10.1086/190036
G.O. Abell., H.G.Jr. Corwin., R.P. Olowin. A catalog of rich clusters of Galaxies. Astrophys. J. Suppl. 70, 1 (1989).
https://doi.org/10.1086/191333
F.G. Kopylova, F. Kopylov. Halo radius (splashback radius) of groups and clusters of galaxies on small scales. Astrophys. Bulletin. 77 (4), 347 (2022).
https://doi.org/10.1134/S199034132204006X
M. Kluge, R. Bender. Minor mergers are not enough: The importance of major mergers during brightest cluster galaxy assembly. Astrophys. J. Suppl. Series. 267 (2), 41 (2023).
https://doi.org/10.3847/1538-4365/ace052
F. Piraino-Cerda, Y.L. Jaffe, A.C. Loureno, J.P. Crossett, V. Salinas, D. Kim, Y.K. Sheen, K. Kelkar, D. Pallero, H. Bravo-Alfaro. Pre- and post-processing of cluster galaxies out to 5XR200: The extreme case of A2670. Monthly Notices of the Royal Astronomical Society. 528 (1), 919 (2024).
https://doi.org/10.1093/mnras/stad3957
P. Gorenstein, W. Tucker. Rich clusters of galaxies. Scientific American. 239, 110 (1978).
https://doi.org/10.1038/scientificamerican1178-110
L.P. Bautz, W.W. Morgan. On the classification of the forms of clusters of galaxies. Astrophys. J. 162, 149 (1970).
https://doi.org/10.1086/180643
E. O'Hely, W.J. Couch, I. Smail, A. Zabludoff, A. Edge. Rich clusters of Galaxies at low to intermediate redshift. In: Looking Deep in the Southern Sky. ESO Astrophysics Symposia. Edited by R. Morganti, W.J. Couch (Springer, 1999).
https://doi.org/10.1007/978-3-540-49460-7_60
A. Dressler. A catalog of morphological types in 55 rich clusters of galaxies. Astrophys. J. Suppl. Series. 42, 565 (1980).
https://doi.org/10.1086/190663
M. Postman, J.P. Huchra, M.J. Geller. The distribution of nearby rich clusters of galaxies. Astrophys. J. 384, 404 (1992).
https://doi.org/10.1086/170883
H. Quintana, A. Ramirez. Redshifts of 165 Abell and southern rich clusters of galaxies. Astrophys. J. Suppl. Series 96, 343 (1995).
https://doi.org/10.1086/192122
G.E. Morrison, F.N. Owen, M.J. Ledlow, W.C. Keel, J.M. Hill, W. Voges, T. Herter. Radio-selected galaxies in very rich clusters at z < 0.25. I. Multiwavelength observations and data reduction techniques. Astrophys. J. Suppl. Series. 146, 267 (2003).
https://doi.org/10.1086/368014
Z.L. Wen, J.L. Han, F.S. Liu. A catalog of 132684 clusters of galaxies identified from sloan digital sky survey III. Astrophys. J. Suppl. Series. 199, 34 (2012).
https://doi.org/10.1088/0067-0049/199/2/34
Z.L. Wen, J.L. Han. Substructure and dynamical state of 2092 rich clusters of galaxies derived from photometric data. Monthly Notices of the Royal Astronomical Society 436, 275 (2013).
https://doi.org/10.1093/mnras/stt1581
Z.L. Wen, J.L. Han. Calibration of the optical mass proxy for clusters of galaxies and an update of the WHL12 cluster catalog. Astrophys. J. 807, 178 (2015).
https://doi.org/10.1088/0004-637X/807/2/178
S. Andreon. Richness-based masses of rich and famous galaxy clusters. Astron. & Astrophys. 587, 158 (2016).
https://doi.org/10.1051/0004-6361/201526852
S.W. Allen, A.E. Evrard, A.B. Mantz. Cosmological parameters from observations of galaxy clusters. Annual Rev. Astron. Astrophys. 49 (1), 409 (2011).
https://doi.org/10.1146/annurev-astro-081710-102514
A.R. Wetzel, J.L. Tinker, C. Conroy. Galaxy evolution in groups and clusters: Star formation rates, red sequence fractions and the persistent bimodality. Monthly Notices of the Royal Astronom. Soc. 424, 232 (2012).
https://doi.org/10.1111/j.1365-2966.2012.21188.x
T.H. Reiprich, H. Bohringer. The mass function of an Xray flux-limited sample of galaxy clusters. Astrophys. J. 567, 716 (2002).
https://doi.org/10.1086/338753
U. Seljak. Cluster number density normalization from the observed mass-temperature relation. Monthly Notices of the Royal Astronom. Soc. 337, 769 (2002).
https://doi.org/10.1046/j.1365-8711.2002.05801.x
H. Dahle. The cluster mass function from weak gravitational lensing. Astrophys. J. 653, 954 (2006).
https://doi.org/10.1086/508654
K. Pedersen, H. Dahle. Calibration of the mass-temperature relation for clusters of galaxies using weak gravitational Lensing. Astrophys. J. 667, 26 (2007).
https://doi.org/10.1086/520945
K. Rines, A. Diaferio, P. Natarajan. The virial mass function of nearby SDSS galaxy clusters. Astrophys. J. 657, 183 (2007).
https://doi.org/10.1086/510829
Z.L. Wen, J.L. Han, F.S. Liu. Mass function of rich galaxy clusters and its constraint on σ8. Monthly Notices of the Royal Astronom. Soc. 407, 533 (2010).
https://doi.org/10.1111/j.1365-2966.2010.16930.x
A. Dressler. Galaxy morphology in rich clusters: Implications for the formation and evolution of galaxies. Astrophys. J. 236, 351 (1980).
https://doi.org/10.1086/157753
H. Butcher, A. Oemler. The evolution of galaxies in clusters. I. ISIT photometry of Cl 0024+1654 and 3C295. Astrophys. J. 219, 18 (1978).
https://doi.org/10.1086/155751
H. Butcher, A. Oemler. The evolution of galaxies in clusters. V. A study of populations since Z = 0.5. Astrophys. J. 285, 426 (1984).
https://doi.org/10.1086/162519
A.W. Blain, J.P. Kneib, R.J. Ivison, I. Smail. Deep counts of submillimeter galaxies. Astrophys. J. 512, 87 (1999).
https://doi.org/10.1086/311879
I. Smail, R.J. Ivison, A.W. Blain, J.P. Kneib. The nature of faint submillimetre-selected galaxies. Monthly Notices of the Royal Astronom. Soci. 331, 495 (2002).
https://doi.org/10.1046/j.1365-8711.2002.05203.x
L. Metcalfe, J.P. Kneib, B. McBreen et al. An ISOCAM survey through gravitationally lensing galaxy clusters. Astron. & Astrophys. 407, 791 (2003).
https://doi.org/10.1051/0004-6361:20030621-1
M.R. Santos, R.S. Ellis, J.P. Kneib, J. Richard, K. Kuijken. The abundance of low-luminosity Lyα emitters at high redshift. Astrophys. J. 606, 683 (2004).
https://doi.org/10.1086/383080
J. Einasto, I. Suhhonenko, G. Hutsi et al. Towards understanding the structure of voids in the cosmic web. Astron. & Astrophys. 534, 128 (2011).
https://doi.org/10.1051/0004-6361/201117248
I.U. Tadjibaev, S.N. Nuritdinov. Can globular clusters in the galaxy be classified by the velocity anisotropy parameter? Ukr. J. Phys. 64 (4), 271 (2019).
https://doi.org/10.15407/ujpe64.4.271
T.A. Agekyan, I.V. Petrovskaya. Scientist records of Leningrad State University 307, 187 (1962).
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