Galaxy clusters in Milgromian dynamics: Missing matter, hydrostatic bias, and the external field effect

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Table 2.

Estimated parameters from MCMC fits (see Sect. 3.1 for details).

Cluster	Model	log(Υ_bar)	log(M_mm, tot/M_⊙)	log(r_s/kpc)	ρ₀(10⁻²⁵g cm⁻³)	g_Ne/a₀	M_mm/M_bar
Clusters without known merger signatures
A1795	with EFE	−0.01 ± 0.08	14.17 ± 0.05	2.12 ± 0.02	10.53 ± 1.75	0.0025 $_{- 0.0021}^{+ 0.0020}$ $^{+0.0020}_{-0.0021}$	1.10 ± 0.10
	no EFE	0.07 ± 0.07	14.09 ± 0.04	2.09 ± 0.02	10.59 ± 1.74	...	0.76 ± 0.09
A2029	with EFE	0.07 $_{- 0.06}^{+ 0.05}$ $^{+0.05}_{-0.06}$	14.31 ± 0.04	2.17 ± 0.02	10.25 ± 1.70	0.0009 $_{- 0.0007}^{+ 0.0006}$ $^{+0.0006}_{-0.0007}$	0.61 ± 0.09
	no EFE	0.19 $_{- 0.06}^{+ 0.05}$ $^{+0.05}_{-0.06}$	14.21 ± 0.05	2.15 ± 0.02	9.24 ± 1.81	...	0.37 ± 0.08
A2142	with EFE	0.23 $_{- 0.06}^{+ 0.05}$ $^{+0.05}_{-0.06}$	14.36 $_{- 0.08}^{+ 0.07}$ $^{+0.07}_{-0.08}$	2.39 ± 0.04	2.49 ± 0.80	0.0015 ± 0.0013	0.38 ± 0.096
	no EFE	0.28 $_{- 0.06}^{+ 0.05}$ $^{+0.05}_{-0.06}$	14.24 $_{- 0.11}^{+ 0.09}$ $^{+0.09}_{-0.11}$	2.37 ± 0.05	2.25 ± 0.88	...	0.26 ± 0.084
Clusters with known merger signatures
A644	with EFE	−0.14 $_{- 0.09}^{+ 0.08}$ $^{+0.08}_{-0.09}$	14.78± 0.05	2.40 ± 0.02	6.06 ± 1.12	0.11 ±0.05	5.43 ± 0.41
	no EFE	−0.11 ± 0.09	14.59 ± 0.03	2.34 ± 0.02	5.88 ± 0.86	...	3.38 ± 0.18
A2319	with EFE	−0.21 $_{- 0.08}^{+ 0.07}$ $^{+0.07}_{-0.08}$	15.05 ± 0.03	2.59 ± 0.01	3.06 ± 0.37	0.29 ±0.10	3.99 ± 0.11
	no EFE	0.00 ± 0.07	14.75 ± 0.03	2.54 ± 0.02	2.29 ± 0.28	...	1.29 ± 0.04

Notes. The ratio M_mm/M_bar is measured at R_out (see Table 1). The parameters of A644 and A2319 should be interpreted with caution due to possible out-of-equilibrium effects.

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