REVIEW 3 major objections 6 minor 1 cited by
The velocity field of the Lyra complex
T0 review · 3 major / 6 minor · reviewed 2026-08-14 · deepseek-v4-flash
Pith's one-line read This paper establishes that the two clusters in the Lyra complex are likely gravitationally bound and pre-merger, with CIZAJ1824 in front and falling toward RXCJ1825.
desk verdict First kinematic map of the Lyra complex with solid velocity dispersions and masses; the pre-merger claim is plausible but hinges on a projection-angle prior that deserves explicit sensitivity testing. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The argument is carried by the two-body Newtonian binding criterion for a pair of clumps on radial orbits, together with the paper's analytical two-body model. The criterion is $V^2 D < 2 G M_{\rm sys}\sin^2\alpha\cos\alpha$, with $V=1757$ km s$^{-1}$, $D=1.272$ Mpc, system mass $M_{\rm sys}=1.5$–$3\times10^{15}\,M_\odot$, and $\alpha$ the angle between the plane of the sky and the line joining the two cluster centers; it decides for which projection angles the pair is bound. The same machinery, through bound-ingoing solutions of the two-body model, gives the geometry of the encounter, placing CIZAJ1824 in front of RXCJ1825 and moving toward it. To feed this test, the paper uses adaptive-kernel density reconstruction to identify the two clusters, local mean-velocity deviation statistics to show the system is unrelaxed at high significance, and a hierarchical binding-energy grouping to assign each galaxy to one of the two clusters and obtain clean velocity dispersions.
What would settle it
Measure independent, redshift-free distances to both clusters, for example from joint X-ray and Sunyaev-Zeldovich analyses of each cluster's gas, and check whether they lie at the same distance; a separation of roughly 30 Mpc would make the redshift difference cosmological and the pre-merger conclusion wrong. A second check is to map the region between the clusters for a radio relic or X-ray shock front, since detecting a shock from a past core crossing would invalidate the pre-first-crossing assumption and change the inferred bound-orbit solution.
Extended reading notes
Core claim
On the paper's own terms, the discovery is that the Lyra complex is not a chance projection of two unrelated clusters. Using the internal kinematics of 198 member galaxies, the paper separates the two systems: RXCJ1825 has $z=0.0645$, $\sigma_v=995^{+131}_{-125}$ km s$^{-1}$, and $M_{200}=1.1\pm0.4\times10^{15}\,M_\odot$; CIZAJ1824 has $z=0.0708$, $\sigma_v=700\pm50$ km s$^{-1}$, and $M_{200}\simeq0.4\times10^{15}\,M_\odot$. Interpreting the redshift difference as Doppler rather than cosmological, the pair has projected separation $D=1.272$ Mpc and rest-frame velocity difference $V=1757$ km s$^{-1}$. The two-body dynamical analysis, with system mass $M_{\rm sys}=1.5$–$3\times10^{15}\,M_\odot$, finds the bound-incoming solution acceptable for projection angles $\alpha\simeq30^\circ$–$70^\circ$; at $\alpha=50^\circ$ the real separation is about 2 Mpc, so the two clusters' $R_{500}$ regions are just touching and the cores have not yet crossed. Alongside this, the velocity field shows a high-velocity South-West region that the paper attributes to the disrupted group around the galaxy SG, so the Lyra complex hosts a multi-component assembly, not a simple binary collision.
Load-bearing premise
The conclusion depends on the observed 1757 km s$^{-1}$ difference in redshift being relative motion between two clusters at the same distance, not a cosmological distance difference of about 30 Mpc.
Editorial extensions
If this is right
- The Lyra complex becomes a benchmark system for cluster-merger physics in the pre-first-core-passage state, a phase not yet marked by X-ray shocks or a bullet-like morphology.
- The merged descendant will be a very massive cluster, with $M_{200}\sim2.6\times10^{15}\,M_\odot$, among the most massive systems known at $z\sim0.067$.
- RXCJ1825 itself shows signs of an earlier merger, with two dominant galaxies aligned along the East-West major axis plus a North-East substructure, so the complex records assembly on at least two episodes and axes.
- The high-velocity South-West region, centered on the luminous galaxy SG, indicates a third component, likely a disrupted group falling into the system, making the assembly more complex than a binary merger.
- The optical dynamical masses agree with the X-ray masses within uncertainties, supporting the use of galaxy velocity dispersions as mass estimators in pre-merger cluster pairs.
Reading between the lines
- A natural next step, not pursued in the paper, is to apply the same two-body diagnostic to other close cluster pairs in X-ray and Sunyaev-Zeldovich surveys, turning this single system into a statistical sample of pre-merger pairs.
- If the pre-merger interpretation holds, one concrete prediction beyond the paper is that the next interaction signatures, such as gas compression or a weak shock on the CIZAJ1824 side and a radio-halo extension along the RXCJ1825-CIZAJ1824 axis, should appear before any core crossing.
- The South-West high-velocity stream could be a kinematic signature of a group in the act of disruption; deeper spectroscopy around SG, which the paper does not have, would distinguish a tidal stream from a chance velocity tail.
- A redshift-independent distance to CIZAJ1824, for instance from its X-ray and Sunyaev-Zeldovich properties, would settle the weakest assumption; the paper argues statistically that a chance alignment is unlikely but does not measure that distance.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This paper presents the first spectroscopic survey of the Lyra complex (RXCJ1825 plus CIZAJ1824), using 285 new TNG redshifts and Pan-STARRS photometry. After a DEDICA-based member selection (198 members) and rejection of galaxy ID225 as a foreground spiral, the authors identify the two clusters plus minor substructures, measure velocity dispersions of 995 and 700 km/s for RXCJ1825 and CIZAJ1824, derive dynamical masses M200 = 1.1e15 and 4e14 Msun with the Munari et al. scaling relation, and compare these with independent X-ray masses. They detect a significant velocity gradient and a peculiar high-velocity SW region associated with the galaxy SG. Adopting a kinematic interpretation of the redshift difference (Delta_v = 1757 km/s at projected separation 1.272 Mpc), they apply a two-body Newtonian/bimodal model and conclude that the two clusters are likely bound and in a pre-merger phase, with CIZAJ1824 in front of RXCJ1825 and approaching it, and that the future merged system will have M200 = 2.6 +/- 0.6e15 Msun.
Significance. If correct, the main result is astrophysically valuable: the Lyra complex would be a rare example of a massive bimodal cluster pair caught before core passage, complementing the X-ray and radio studies of Clavico et al. and Botteon et al. The paper is careful in presenting the data: member selection is checked against photometric CMR members, substructure and velocity-gradient significances are assessed by Monte Carlo reshuffling, and the dynamical masses are cross-checked against independent X-ray estimates. The main weakness is statistical: the claimed 'likely bound' conclusion rests on a prior for the projection angle that is not derived from the data or from a quantitative cosmological model. This should be fixable with an explicit Monte Carlo or simulation-based calculation, and the underlying dataset remains valuable even if the two-body conclusion is softened.
major comments (3)
- [Section 7 (Eq. 3, Fig. 16)] The bound probabilities reported in Sect. 7 are 31-34% for M_sys = 1.5e15 Msun and 53-58% for M_sys = 3e15 Msun; the jump to 'likely bound' is obtained by excluding alpha < 15 deg because cluster-cluster peculiar velocities are generally below 2000 km/s. This prior is not turned into a posterior for the present pair, which was selected with D = 1.272 Mpc and Delta_v = 1757 km/s. The text itself states that the probabilities are 'estimated from the solid angles without regard to other constraints'. Please either derive P(alpha < 15 deg | D, Delta_v, selection) from simulations or an empirical cluster-pair catalog, or present the conclusions as 'possibly bound' rather than 'likely bound'. As written, the headline claim is stronger than the calculation supports.
- [Section 5 and Table 5] The adopted sigma_v for CIZAJ1824 is an average value of 700 +/- 50 km/s over Serna-Gerbal solutions that span 678-743 km/s for M/L = 100-200 and use only 17-19 member galaxies; the quoted uncertainty is smaller than the spread across the adopted mass-to-light ratios and does not include the uncertainty in the group assignment. Because the total mass of the pair enters the bound criterion (Eq. 3) and the bimodal model, the mass uncertainty of CIZAJ1824 should be propagated into the merger probabilities. Similarly, RXCJ1825 has sigma_v = 995 km/s for red galaxies and 1244 km/s for all galaxies within 0.4 Mpc, which changes M200 by about 30%; the dynamical analysis should report how the merged-system conclusion depends on this choice.
- [Section 8.1] The rejection of the cosmological interpretation of the redshift difference uses the expectation of fewer than 7e-4 clusters as massive as CIZAJ1824 in the sampled volume. This estimate is based on the mean abundance of clusters and does not account for the fact that the search volume is the line of sight to a known massive cluster, where correlated large-scale structure substantially increases the probability of finding a second massive system within about 16 arcmin and Delta_v about 1750 km/s. A quantitative estimate of that conditional probability, or an explicit acknowledgment that it is only an order-of-magnitude prior, is needed before the kinematic interpretation can be treated as established.
minor comments (6)
- [Table 5] The second table footnote is labeled 'a' but should be labeled 'b'.
- [Fig. 9 caption] The caption contains the typo 'CIZAJ1924' for 'CIZAJ1824'.
- [Abstract] The abstract gives the CIZAJ1824 mass as 4e14 Msun without an uncertainty, while Table 5 gives 0.4 +/- 0.1e15 Msun; please make the abstract consistent.
- [Section 4.4] The NFW Monte Carlo simulation shown in Fig. 10 is described qualitatively; please state the fraction of simulations that reproduce the observed high-velocity SW region.
- [Section 7 and Table 7] Table 7 lists V = 1757 +/- 96 km/s but D = 1.272 Mpc without an uncertainty; the small uncertainty in the adopted cosmology should be propagated or explicitly stated as negligible.
- [Section 7, after Eq. (3)] The angles alpha_V and alpha_R are introduced in the text but never defined; please define them explicitly.
Circularity Check
No significant circularity: the central two-body claim rests on observed velocities plus an externally calibrated mass scaling; only a minor self-consistency loop appears in the caustic check.
-
self definitional
[Section 6 (mass estimates), discussion of caustics around Fig. 12]
"We used the recipe of den Hartog & Katgert (1996) with the assumption of a NFW mass density profile (Navarro et al. 1997; Dolag et al. 2004) to derive from our mass estimate the 'caustics', that is the curves delimiting the region where the rest-frame velocity v rf is smaller than the escape velocity. The inspection of Fig. 12 (top panel, solid blue curves) suggests that our mass estimate is adequate to describe the position of the RXCJ1825 galaxies in the phase-space."
The caustic envelope is a deterministic function of the same M200 that it is used to check: M200 is first obtained from sigma_v through the Munari et al. scaling (Eq. 1), and the NFW escape-velocity caustics are then derived from that M200. Verifying that member galaxies fall inside the caustics therefore tests only that the assumed mass is consistent with the galaxies being bound under that same assumed mass, not whether the mass is independently correct. This is a self-consistency loop rather than an external validation. It is not load-bearing for the central two-body claim because the M200 values are separately compared with independent X-ray masses, and the caustic check does not enter the bimodal model.
full rationale
The central derivation chain is self-contained and uses independently calibrated inputs. The velocity dispersions come from new TNG spectroscopy (Sect. 5), the dynamical masses use the externally calibrated Munari et al. (2013) scaling (Eq. 1), and the resulting M200 values agree with independent X-ray masses from Clavico et al. (2019). The two-body analysis (Sect. 7) uses the observed line-of-sight velocity difference V and projected separation D together with a system mass range that follows from those individual velocity dispersions; the bound/ingoing solution is selected by comparing the model's required mass with that range, so the conclusion is not hard-wired by construction. The 'likely bound' wording does depend on an explicit prior excluding alpha < 15 deg, but that prior is drawn from external cluster-velocity and merger-velocity statistics, not from the target conclusion. The only genuine circularity is a minor consistency check: the caustic curves in Figs. 12-13 are computed from the same M200 they are then said to validate. Because the mass estimates are independently benchmarked against X-ray data and the caustic check does not feed back into the mass values, this does not rise above a minor internal self-consistency loop.
Assumptions & free parameters
free parameters (6)
- CMR intercept and slope for r-i red sequence =
r-i = 0.950 - 0.032 r
- CMR for g-r used to define red galaxies =
g-r = 1.334 - 0.032 r
- Mass-to-light ratio M/L_r for Serna-Gerbal method =
adopted 150 Msun/Lsun; also 100 and 200
- Radius cutoff for uncontaminated RXCJ1825 galaxies =
0.4 Mpc
- Velocity dispersion to mass scaling parameters =
A1D = 1090 km/s, 1/alpha = 3
- System mass range for two-body model =
1.5-3.0 × 10^15 Msun
assumptions (7)
- domain assumption The redshift difference between the two clusters is kinematic, meaning both are at the same cosmological distance.
- domain assumption The Beers et al. (1982) two-body model with radial orbits, zero initial separation, and no clump mass distribution is applicable.
- domain assumption Red galaxies trace the cluster core and are less contaminated by interlopers.
- domain assumption The Serna-Gerbal constant mass-to-light ratio identifies physical galaxy groups from binding energy hierarchies.
- ad hoc to paper Galaxy ID225 is a foreground spiral, not a cluster member.
- domain assumption The Munari et al. (2013) velocity dispersion to M200 scaling relation is valid for these clusters.
- domain assumption NFW density profile and the den Hartog and Katgert (1996) recipe describe the caustic envelope.
Cite this review
Pith. "Pith review of The velocity field of the Lyra complex." pith.science (2026). https://pith.science/paper/UBOZPY2C
@misc{pith2026190802277,
author = {Pith},
title = {Pith review of: The velocity field of the Lyra complex},
year = {2026},
howpublished = {\url{https://pith.science/paper/UBOZPY2C}},
note = {Machine review of arXiv:1908.02277}
}
read the original abstract
The formation of cosmic structure culminates with the assembly of galaxy clusters, a process quite different from cluster to cluster. We present the study of the structure and dynamics of the Lyra complex formed of the two clusters RXC J1825.3+3026 and CIZA J1824.1+3029, very recently studied using both X-ray and radio data. This is the first analysis based on kinematics of member galaxies. New spectroscopic data for 285 galaxies were acquired at the Italian Telescopio Nazionale Galileo and used in combination with PanSTARRS photometry. The result of our member selection is a sample of 198 galaxies. For RXCJ1825 and CIZAJ1824 we report the redshifts, z=0.0645 and z=0.0708, the first estimates of velocity dispersion, sigmav=995 and 700 km/s, and dynamical mass, M200=1.1E15 and 4E14 Msun. The past assembly of RXCJ1825 is traced by the two dominant galaxies, both aligned with the major axis of the galaxy distribution along the East-West direction, and by a minor North-East substructure. We also detect a quite peculiar high velocity field in the South-West region of the Lyra complex. This feature is likely related to a high velocity, very luminous galaxy, suggested to be the central galaxy of a group in interaction with RXCJ1825 by very recent studies based on X-ray and radio data. The redshift of the whole Lyra complex is z=0.067. Assuming that the redshift difference between RXCJ1825 and CIZAJ1824 is due to the relative kinematics, the projected distance between the cluster centers is 1.3 Mpc and the los velocity difference is 1750 km/s. A dynamical analysis of the system shows that the two clusters are likely to be gravitationally bound, in a pre-merger phase, with CIZAJ1824 in front of RXCJ1825 and going toward it. Our results corroborate a picture where the Lyra region is the place of a very complex scenario of cluster assembly.
Figures
Figures from the paper (12 more)
Forward citations
Cited by 1 Pith paper
-
Particle acceleration in a nearby galaxy cluster pair: the role of cluster dynamics
A Mpc-scale radio halo is discovered in the merging cluster RXC J1825.3+3026, while the relaxed companion CIZA J1824.1+3029 shows no diffuse radio emission.
Reference graph
Works this paper leans on
-
[1]
2018, A&A, 620, A5
Adami, C., Giles, P ., Koulouridis, E., et al. 2018, A&A, 620, A5
2018
-
[2]
M., Bird, C
Ashman, K. M., Bird, C. M., & Zepf, S. E. 1994, AJ, 108, 2348
1994
-
[3]
M., Mellier, Y ., van Waerbeke, L., et al
Athreya, R. M., Mellier, Y ., van Waerbeke, L., et al. 2002, A&A, 384, 743
2002
-
[4]
A., Soneira, R
Bahcall, N. A., Soneira, R. M., & Burgett, W. S. 1986, ApJ, 311 , 15
1986
-
[5]
Baier, F. W. & Ziener, R. 1977, Astronomische Nachrichten, 2 98, 87
work page 1977
-
[6]
2016, ApJS, 224, 33
Balestra, I., Mercurio, A., Sartoris, B., et al. 2016, ApJS, 224, 33
2016
-
[7]
Barrena, R., Girardi, M., Boschin, W., De Grandi, S., & Rosse tti, M. 2014, MN- RAS, 442, 2216
work page 2014
-
[8]
C., Flynn, K., & Gebhardt, K
Beers, T. C., Flynn, K., & Gebhardt, K. 1990, AJ, 100, 32
1990
Show all 84 references
-
[9]
C., Geller, M
Beers, T. C., Geller, M. J., & Huchra, J. P . 1982, ApJ, 257, 23
1982
-
[10]
C., Stewart, K
Berrier, J. C., Stewart, K. R., Bullock, J. S., et al. 2009, Ap J, 690, 1292
2009
-
[11]
& Tremaine, S
Binney, J. & Tremaine, S. 1987, Galactic dynamics (Princeto n Univ Press)
1987
-
[12]
& Girardi, M
Biviano, A. & Girardi, M. 2003, ApJ, 585, 205
2003
-
[13]
2006, A&A, 456, 23
Biviano, A., Murante, G., Borgani, S., et al. 2006, A&A, 456, 23
2006
-
[14]
2013, MNRAS, 434, 772
Boschin, W., Girardi, M., & Barrena, R. 2013, MNRAS, 434, 772
2013
-
[15]
2006, A& A, 449, 461
Boschin, W., Girardi, M., Spolaor, M., & Barrena, R. 2006, A& A, 449, 461
2006
-
[16]
2019, A&A, 630, A 77
Botteon, A., Cassano, R., Eckert, D., et al. 2019, A&A, 630, A 77
2019
-
[17]
& Metcalfe, N
Carter, D. & Metcalfe, N. 1980, MNRAS, 191, 325
1980
-
[18]
W., Donahue, M., V oit, G
Cavagnolo, K. W., Donahue, M., V oit, G. M., & Sun, M. 2008, ApJ , 683, L107
2008
-
[19]
2019, arXiv e-prints, arXiv:1908.02276 Article number, page 14 of 15 Girardi et al.: Clusters RXCJ1825 and CIZAJ1824
Clavico, S., De Grandi, S., Ghizzardi, S., et al. 2019, arXiv e-prints, arXiv:1908.02276 Article number, page 14 of 15 Girardi et al.: Clusters RXCJ1825 and CIZAJ1824
2019 arXiv
-
[20]
& Dunn, A
Colless, M. & Dunn, A. M. 1996, ApJ, 458, 435
1996
-
[21]
J., Lilje, P
Dahle, H., Kaiser, N., Irgens, R. J., Lilje, P . B., & Maddox, S . J. 2002, ApJS, 139, 313
2002
-
[22]
1980, A&A, 82, 322 den Hartog, R
Danese, L., de Zotti, G., & di Tullio, G. 1980, A&A, 82, 322 den Hartog, R. & Katgert, P . 1996, MNRAS, 279, 349
1980
-
[23]
2004, A&A, 41 6, 853
Dolag, K., Bartelmann, M., Perrotta, F., et al. 2004, A&A, 41 6, 853
2004
-
[24]
& Shectman, S
Dressler, A. & Shectman, S. A. 1988, AJ, 95, 985
1988
-
[25]
F., Adami, C., & Bertin, E
Durret, F., Laganá, T. F., Adami, C., & Bertin, E. 2010, A&A, 5 17, A94
2010
-
[26]
R., & Tully, R
Ebeling, H., Mullis, C. R., & Tully, R. B. 2002, ApJ, 580, 774
2002
-
[27]
2017, Astr onomische Nachrichten, 338, 293
Eckert, D., Ettori, S., Pointecouteau, E., et al. 2017, Astr onomische Nachrichten, 338, 293
2017
-
[28]
2019, A&A, 621 , A40
Eckert, D., Ghirardini, V ., Ettori, S., et al. 2019, A&A, 621 , A40
2019
-
[29]
R., Cole, S., & Frenk, C
Eke, V . R., Cole, S., & Frenk, C. S. 1996, MNRAS, 282, 263
1996
-
[30]
2019, A&A, 621 , A39
Ettori, S., Ghirardini, V ., Eckert, D., et al. 2019, A&A, 621 , A39
2019
-
[31]
1996, ApJ, 473, 670
Fadda, D., Girardi, M., Giuricin, G., Mardirossian, F., & Mezzetti, M. 1996, ApJ, 473, 670
1996
-
[32]
1999, in Di ffuse Thermal and Relativistic Plasma in Galaxy Clusters, ed
Feretti, L. 1999, in Di ffuse Thermal and Relativistic Plasma in Galaxy Clusters, ed. H. Boehringer, L. Feretti, & P . Schuecker, 3
1999
-
[33]
A., Quintana, H., & Way, M
Flores, R. A., Quintana, H., & Way, M. J. 2000, ApJ, 532, 206
2000
-
[34]
Geller, M. J. & Beers, T. C. 1982, PASP , 94, 421
1982
-
[35]
2019, A&A, 621 , A41
Ghirardini, V ., Eckert, D., Ettori, S., et al. 2019, A&A, 621 , A41
2019
-
[36]
2011, A&A, 536 , A89
Girardi, M., Bardelli, S., Barrena, R., et al. 2011, A&A, 536 , A89
2011
-
[37]
2008, A&A, 491, 379
Girardi, M., Barrena, R., Boschin, W., & Ellingson, E. 2008, A&A, 491, 379
2008
-
[38]
& Biviano, A
Girardi, M. & Biviano, A. 2002, in Astrophysics and Space Sci ence Library, V ol. 272, Merging Processes in Galaxy Clusters, ed. L. Feretti, I. M. Gioia, & G. Giovannini, 39–77
2002
-
[39]
1995, ApJ, 438, 527
Girardi, M., Biviano, A., Giuricin, G., Mardirossian, F., & Mezzetti, M. 1995, ApJ, 438, 527
1995
-
[40]
2000, ApJ, 530, 62
Girardi, M., Borgani, S., Giuricin, G., Mardirossian, F., & Mezzetti, M. 2000, ApJ, 530, 62
2000
-
[41]
2010, A&A, 517, A65
Girardi, M., Boschin, W., & Barrena, R. 2010, A&A, 517, A65
2010
-
[42]
2016, MNRA S, 456, 2829
Girardi, M., Boschin, W., Gastaldello, F., et al. 2016, MNRA S, 456, 2829
2016
-
[43]
1997, ApJ, 482, 4 1
Girardi, M., Escalera, E., Fadda, D., et al. 1997, ApJ, 482, 4 1
1997
-
[44]
1996, ApJ, 457, 6 1
Girardi, M., Fadda, D., Giuricin, G., et al. 1996, ApJ, 457, 6 1
1996
-
[45]
1998, ApJ, 505, 74
Girardi, M., Giuricin, G., Mardirossian, F., Mezzetti, M., & Boschin, W. 1998, ApJ, 505, 74
1998
-
[46]
2015, A&A, 57 9, A4
Girardi, M., Mercurio, A., Balestra, I., et al. 2015, A&A, 57 9, A4
2015
-
[47]
J., Dawson, W
Golovich, N., van Weeren, R. J., Dawson, W. A., Jee, M. J., & Wittman, D. 2017, ApJ, 838, 110
2017
-
[48]
C., et al
Goto, T., Sekiguchi, M., Nichol, R. C., et al. 2002, AJ, 123, 1 807
2002
-
[49]
Gregory, S. A. & Thompson, L. A. 1984, ApJ, 286, 422
1984
-
[50]
P ., Birkinshaw, M., & Huchra, J
Hughes, J. P ., Birkinshaw, M., & Huchra, J. P . 1995, ApJ, 448, L93
1995
-
[51]
D., et al
Joachimi, B., Cacciato, M., Kitching, T. D., et al. 2015, Spa ce Sci. Rev., 193, 1
2015
-
[52]
& Forman, W
Jones, C. & Forman, W. 1999, ApJ, 511, 65
1999
-
[53]
R., Postman, M., Strauss, M
Lauer, T. R., Postman, M., Strauss, M. A., Graves, G. J., & Chi sari, N. E. 2014, ApJ, 797, 82
2014
-
[54]
Limber, D. N. & Mathews, W. G. 1960, ApJ, 132, 286
1960
-
[55]
Lopes, P . A. A. 2007, MNRAS, 380, 1608
2007
-
[56]
M., Brunner, R., Metzger, M
Lubin, L. M., Brunner, R., Metzger, M. R., Postman, M., & Oke, J. B. 2000, ApJ, 531, L5
2000
-
[57]
H., Clowe, D., et al
Markevitch, M., Gonzalez, A. H., Clowe, D., et al. 2004, ApJ, 606, 819
2004
-
[58]
H., David, L., et al
Markevitch, M., Gonzalez, A. H., David, L., et al. 2002, ApJ, 567, L27
2002
-
[59]
L., Bourdin, H., et al
Maurogordato, S., Sauvageot, J. L., Bourdin, H., et al. 2011 , A&A, 525, A79
2011
-
[60]
L., Balogh, M
McGee, S. L., Balogh, M. L., Bower, R. G., Font, A. S., & McCart hy, I. G. 2009, MNRAS, 400, 937
2009
-
[61]
2013, MNRAS, 430, 2638 NAG Fortran Workstation Handbook
Munari, E., Biviano, A., Borgani, S., Murante, G., & Fabjan, D. 2013, MNRAS, 430, 2638 NAG Fortran Workstation Handbook. 1986, NAG Fortran Workst ation Hand- book (Downers Grove, IL: Numerical Algorithms Group)
2013
-
[62]
F., Frenk, C
Navarro, J. F., Frenk, C. S., & White, S. D. M. 1997, ApJ, 490, 4 93
1997
-
[63]
A., Dong, F., Koester, B
Niederste-Ostholt, M., Strauss, M. A., Dong, F., Koester, B . P ., & McKay, T. A. 2010, MNRAS, 405, 2023
2010
-
[64]
2018, MNRAS , 479, 2328
Olave-Rojas, D., Cerulo, P ., Demarco, R., et al. 2018, MNRAS , 479, 2328
2018
-
[65]
S., Baldry, I
Owers, M. S., Baldry, I. K., Bauer, A. E., et al. 2013, ApJ, 772 , 104
2013
-
[66]
S., Nulsen, P
Owers, M. S., Nulsen, P . E. J., & Couch, W. J. 2011, ApJ, 741, 12 2
2011
-
[67]
1993, MNRAS, 265, 706
Pisani, A. 1993, MNRAS, 265, 706
1993
-
[68]
1996, MNRAS, 278, 697 Planck Collaboration, Ade, P
Pisani, A. 1996, MNRAS, 278, 697 Planck Collaboration, Ade, P . A. R., Aghanim, N., et al. 2014 , A&A, 571, A8
1996
-
[69]
& Basilakos, S
Plionis, M. & Basilakos, S. 2002, MNRAS, 329, L47
2002
-
[70]
2005, A&A, 433, 431
Popesso, P ., Biviano, A., Böhringer, H., Romaniello, M., & V oges, W. 2005, A&A, 433, 431
2005
-
[71]
N., Mendes de Oliveira, C., Azanha, L., Dupke, R
Proctor, R. N., Mendes de Oliveira, C., Azanha, L., Dupke, R. , & Overzier, R. 2015, MNRAS, 449, 2345
2015
-
[72]
J., Diaferio, A., & Kurtz, M
Rines, K., Geller, M. J., Diaferio, A., & Kurtz, M. J. 2013, Ap J, 767, 15
2013
-
[73]
Roettiger, K., Loken, C., & Burns, J. O. 1997, ApJS, 109, 307
1997
-
[74]
Sarazin, C. L. 2002, in Astrophysics and Space Science Libra ry, V ol. 272, Merg- ing Processes in Galaxy Clusters, ed. L. Feretti, I. M. Gioia , & G. Giovannini, 1–38
2002
-
[75]
& Gerbal, D
Serna, A. & Gerbal, D. 1996, A&A, 309, 65
1996
-
[76]
A., Ma, C.-P ., Sargent, W
Small, T. A., Ma, C.-P ., Sargent, W. L. W., & Hamilton, D. 1998, ApJ, 492, 45
1998
-
[77]
& Farrar, G
Springel, V . & Farrar, G. R. 2007, MNRAS, 380, 911
2007
-
[78]
S., & White, S
Springel, V ., Frenk, C. S., & White, S. D. M. 2006, Nature, 440 , 1137
2006
-
[79]
& Davis, M
Tonry, J. & Davis, M. 1979, AJ, 84, 1511
1979
-
[80]
1992, AJ, 104, 935
Trevese, D., Cirimele, G., & Flin, P . 1992, AJ, 104, 935
1992
-
[81]
Tribble, P . C. 1993, MNRAS, 263, 31
1993
-
[82]
A., Ebeling, H., et al
Vikhlinin, A., Burenin, R. A., Ebeling, H., et al. 2009, ApJ, 692, 1033 V oges, W., Aschenbach, B., Boller, T., et al. 1999, A&A, 349, 389
2009
-
[83]
West, M. J. 1994, MNRAS, 268, 79
1994
-
[84]
2019, ApJ, 874, 84 Zabludoff, A
Wittman, D., Foote, D., & Golovich, N. 2019, ApJ, 874, 84 Zabludoff, A. I. & Mulchaey, J. S. 1998, ApJ, 496, 39 Article number, page 15 of 15
2019
Reviewed August 14, 2026 · model on record in the stance chip above.
Discussion (0). Continue with ORCID to comment.