Globular clusters in the outer halo of M 31 | Astronomy & Astrophysics (A&A)

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Table 6.

Fitting results of the luminosity functions of M 31 disc and halo GC systems.

GC	Double Gaussian				Single Gaussian		P^a

	μ₁	σ₁	μ₂	σ₂	μ	σ
(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)
	BATC g

Disc	−8.41 ± 0.05	0.96 ± 0.04	−8.91 ± 0.04	−0.26 ± 0.05	−8.23 ± 0.07	0.99 ± 0.07	0.01%
Halo	−7.57 ± 0.11	0.94 ± 0.12	−5.17 ± 0.16	0.45 ± 0.16	−7.34 ± 0.16	1.3 ± 0.16	1.72%


2MASS J
Disc	−9.9 ± 0.06	1.1 ± 0.05	−10.46 ± 0.06	0.27 ± 0.06	−9.77 ± 0.07	1.12 ± 0.07	0.17%
Halo	−8.09 ± 0.16	0.97 ± 0.09	−7.4 ± 0.11	0.35 ± 0.15	−8.36 ± 0.09	0.88 ± 0.09	9.24%

Notes.

^(a)

P is the probability from the F-test. If the P value is low (e.g. 5%), we can conclude that the double-Gaussian model is statistically significantly better than the single-Gaussian model.

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