Shapes of dark matter haloes with discrete globular cluster dynamics: The example of NGC 5128 (Centaurus A)

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Volume 687 (July 2024)

A&A, 687 (2024) A80

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Table 5.

Overview of the parameters used in different iteration steps for the two-parameter optimisation.

It.	log M₂₀₀	c₂₀₀	q_DM	Inc.	M_⋆/L_B	β_z, blue	β_z, red	κ_blue	κ_red	No. grid
	[M_⊙]			[deg]	$[M_{⊙} L_{⊙}^{- 1}]$ ${[M_\odot\,L_\odot^{-1}]}$					points
1	12	10	1.2	85	4.5	−0.12	0.1	0	0
	10–13	2–20	0.6–2	60–90	1–8	−0.3–0.3	−0.3–0.3	–	–	30

2	12	10	1.2	85	4.5	–0.2	0.1	0	0
	10–13	2–20	0.6–2	60–90	1–8	−0.3–0.3	−0.3–0.3	–	–	30

3	12.3	8.5	1.2	85	4.5	−0.2	0.1	0	0
	10–13	2–20	0.6–2	60–90	1–8	−0.3–0.3	−0.3–0.3	–	–	30

4	12.3	8.5	1.2	85	3.5	−0.2	0.1	0	0
	10–13	2–20	0.6–2	60–90	1–8	−0.3–0.3	−0.3–0.3	–	–	40

5	12.3	COMMAH^(a)	1.2	90^(b)	3.5	−0.2	0.1	0	0
	10–13	COMMAH	0.6–2	–	1–8	−0.5–0.5 ^( † )	−0.5–0.5 ^( † )	–	–	40

6	12.3	COMMAH	1.2	90	3.0	−0.2	0.05	0	0
	10–13	COMMAH	0.6–3 ^( † )	–	1–8	−0.5–0.5	−0.5–0.5	–	–	40

7	12.3	COMMAH	1.2	90	3.0	−0.2	0.05	–0.1	–0.20
	–	COMMAH	0.6–3	–	–	−0.5–0.5	−0.5–0.5	−0.5–0.5 ^( † )	−0.5–0.5 ^( † )	10

8	12.3	COMMAH	1.2	90	3.0	–0.15	0.15	–0.15	−0.20
	10–13	COMMAH	0.4–3.5 ^( † )	–	1–8	−0.8–0.4 ^( † )	−0.8–0.4 ^( † )	−0.7–0.4 ^( † )	−0.7–0.4 ^( † )	30

Notes. Column (1) contains the number of iterations (m). For each of the parameters used in this work, Cols. (2)–(10) contain the information on its best approximation and the range explored at the corresponding iteration step. For these columns, each row corresponding to a given iteration is split in two. The top contains the values of the corresponding parameter $θ_{k}^{(m, fix)}$ $\theta_k^{(m,{\rm fix})}$ that was kept constant when exploring the χ² surface in parameters (i, j). The bottom contains the range of values we explored for a given parameter and is marked with (–) if that parameter is fixed at a given iteration step. When the parameters were changed between subsequent iteration steps we highlight them in bold and remark with † the change in range. The last column shows the number of grid points linearly distributed for each of the parameters in the corresponding range. ^( † )Parameter range modified from the previous step.

^(a)

Correa et al. (2015) with Planck Collaboration XIII (2016) cosmology.

^(b)

Hui et al. (1995).

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