The case of NGC5824, a cluster possibly embedded in a dark matter halo

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Table 2

Background density and best-fitting parameters.

Test	Background density	Fitted King radii parameters					Fitted power-law index
	Σ_b	R_c	R_t	R_c	R_t	χ²_King	γ	χ²_pw
	(arcmin⁻²)	(arcmin)	(arcmin)	(pc)	(pc)
NGC 5824

1	1.60±0.22	${0.047}_{- 0.001}^{+ 0.001}$ $Mathematical equation: $0.047^{+0.001}_{-0.001}$$	${21.04}_{- 0.38}^{+ 0.39}$ $Mathematical equation: $21.04^{+0.39}_{-0.38}$$	${0.44}_{- 0.01}^{+ 0.01}$ $Mathematical equation: $0.44^{+0.01}_{-0.01}$$	${196.5}_{- 3.5}^{+ 3.6}$ $Mathematical equation: $196.5^{+3.6}_{-3.5}$$	282.7	$- {2.55}_{- 0.02}^{+ 0.02}$ $Mathematical equation: $-2.55^{+0.02}_{-0.02}$$	23.8
2	–	${0.055}_{- 0.001}^{+ 0.001}$ $Mathematical equation: $0.055^{+0.001}_{-0.001}$$	${16.725}_{- 0.967}^{+ 1.004}$ $Mathematical equation: $16.725^{+1.004}_{-0.967}$$	${0.51}_{- 0.01}^{+ 0.01}$ $Mathematical equation: $0.51^{+0.01}_{-0.01}$$	${156.2}_{- 9.0}^{+ 9.4}$ $Mathematical equation: $156.2^{+9.4}_{-9.0}$$	90.5	$- {2.49}_{- 0.11}^{+ 0.11}$ $Mathematical equation: $-2.49^{+0.11}_{-0.11}$$	2.9
3	0.016±0.002	${0.052}_{- 0.001}^{+ 0.001}$ $Mathematical equation: $0.052^{+0.001}_{-0.001}$$	${28.5}_{- 0.8}^{+ 0.8}$ $Mathematical equation: $28.5^{+0.8}_{-0.8}$$	${0.49}_{- 0.01}^{+ 0.01}$ $Mathematical equation: $0.49^{+0.01}_{-0.01}$$	${266.1}_{- 4.7}^{+ 4.7}$ $Mathematical equation: $266.1^{+4.7}_{-4.7}$$	188.2	$- {2.48}_{- 0.08}^{+ 0.08}$ $Mathematical equation: $-2.48^{+0.08}_{-0.08}$$	11.4
4	0.47±0.02	${0.048}_{- 0.001}^{+ 0.001}$ $Mathematical equation: $0.048^{+0.001}_{-0.001}$$	${20.95}_{- 0.31}^{+ 0.32}$ $Mathematical equation: $20.95^{+0.32}_{-0.31}$$	${0.45}_{- 0.01}^{+ 0.01}$ $Mathematical equation: $0.45^{+0.01}_{-0.01}$$	$196_{- 3}^{+ 3}$ $Mathematical equation: $196^{+3}_{-3}$$	413.7	$- {2.79}_{- 0.14}^{+ 0.12}$ $Mathematical equation: $-2.79^{+0.12}_{-0.14}$$	0.4

NGC 2419

1	0.72±0.03	${0.253}_{- 0.004}^{+ 0.004}$ $Mathematical equation: $0.253^{+0.004}_{-0.004}$$	${10.0}_{- 0.1}^{+ 0.1}$ $Mathematical equation: $10.0^{+0.1}_{-0.1}$$	${6.1}_{- 0.1}^{+ 0.1}$ $Mathematical equation: $6.1^{+0.1}_{-0.1}$$	${240.3}_{- 2.4}^{+ 2.4}$ $Mathematical equation: $240.3^{+2.4}_{-2.4}$$	213.1	$- {4.47}_{- 0.09}^{+ 0.09}$ $Mathematical equation: $-4.47^{+0.09}_{-0.09}$$	36.7

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