X-Shooting ULLYSES: Massive stars at low metallicity - IV. Spectral analysis methods and exemplary results for O stars

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Volume 689 (September 2024)

A&A, 689 (2024) A30

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Table C.2

Best-fit parameters for the O7(n)(f)p star Sk -69° 50 derived with the different methods. Adopted values are in italics.

Sk-69°50	F1	F2	F3^‡	F4	C1	C2	P2
T_eff (kK)	34.2 ± 0.5	${36.25}_{- 1.50}^{+ 0.25}$ $36.25_{ - 1.50}^{ + 0.25}$	${34.50}_{- 11.4}^{+ 1.8}$ $34.50_{ - 11.4}^{ + 1.8}$	${34.4}_{- 11.4}^{+ 1.8}$ $34.4_{ - 11.4}^{ + 1.8}$	35.0 ± 0.2	34.0 ± 0.2	${33.4}_{- 1}^{+ 1}$ $33.4_{ - 1}^{ + 1}$
log g (cm s⁻²)	3.23 ± 0.06	${3.38}_{- 0.12}^{+ 0.05}$ $3.38_{ - 0.12}^{ + 0.05}$	${3.25}_{- 0.05}^{+ 0.03}$ $3.25_{ - 0.05}^{ + 0.03}$	${3.3}_{- 0.9}^{+ 0.2}$ $3.3_{ - 0.9}^{ + 0.2}$	${3.4}_{- 0.1}^{+ 0.1}$ $3.4_{ - 0.1}^{ + 0.1}$	3.25	${3.42}_{- 0.1}^{+ 0.1}$ $3.42_{ - 0.1}^{ + 0.1}$
log L (L_⊙)	5.43 ± 0.02	${5.54}_{- 0.05}^{+ 0.02}$ $5.54_{ - 0.05}^{ + 0.02}$	${5.48}_{- 0.02}^{+ 0.02}$ $5.48_{ - 0.02}^{ + 0.02}$	${5.42}_{- 0.41}^{+ 0.12}$ $5.42_{ - 0.41}^{ + 0.12}$	5.45 ± 0.05	5.41 ± 0.03	${5.35}_{- 0.1}^{+ 0.1}$ $5.35_{ - 0.1}^{ + 0.1}$
R_2/3 (R_⊙)	14.8 ± 0.3	${15.0}_{- 0.4}^{+ 0.5}$ $15.0_{ - 0.4}^{ + 0.5}$	${15.5}_{- 0.4}^{+ 0.4}$ $15.5_{ - 0.4}^{ + 0.4}$	${14.4}_{- 6.8}^{+ 1.5}$ $14.4_{ - 6.8}^{ + 1.5}$	${14.2}_{- 0.1}^{+ 0.1}$ $14.2_{ - 0.1}^{ + 0.1}$	14.7	${14.1}_{- 1}^{+ 1}$ $14.1_{ - 1}^{ + 1}$
M_spec (M_⊙)	17 ± 2	${19.5}_{- 3.6}^{+ 1.6}$ $19.5_{ - 3.6}^{ + 1.6}$	${21.2}_{- 1.5}^{+ 1.2}$ $21.2_{ - 1.5}^{ + 1.2}$	$15_{- 11}^{+ 13}$ $15_{ - 11}^{ + 13}$	${18.5}_{- 2.8}^{+ 2.8}$ $18.5_{ - 2.8}^{ + 2.8}$	14.0	${19.2}_{- 4}^{+ 5}$ $19.2_{ - 4}^{ + 5}$
ß₁	1.0 ± 0.1	1.0	${0.95}_{- 0.05}^{+ 0.10}$ $0.95_{ - 0.05}^{ + 0.10}$	1.0	1.2	1.35	0.8
ß₂	–	–	–	–	–	–	1.5
$\log \dot{M} (M_{⊙} {yr}^{- 1})$ $\log \dot M\left( {{M_ \odot }{\rm{y}}{{\rm{r}}^{ - 1}}} \right)$	$- {5.64}_{- 0.16}^{+ 0.15}$ $- 5.64_{ - 0.16}^{ + 0.15}$	$- {6.11}_{- 0.05}^{+ 0.05}$ $- 6.11_{ - 0.05}^{ + 0.05}$	$- {6.16}_{- 0.13}^{+ 0.03}$ $- 6.16_{ - 0.13}^{ + 0.03}$	–	$- {6.26}_{- 0.08}^{+ 0.08}$ $- 6.26_{ - 0.08}^{ + 0.08}$	$- {5.92}_{- 0.06}^{+ 0.06}$ $- 5.92_{ - 0.06}^{ + 0.06}$	$- {5.8}_{- 0.1}^{+ 0.1}$ $- 5.8_{ - 0.1}^{ + 0.1}$
$\log (\dot{M} \sqrt{f_{cl}}) (M_{⊙} {yr}^{- 1})$ $\log \left( {\dot M\sqrt {{f_{{\rm{cl}}}}} } \right)\left( {{M_ \odot }{\rm{y}}{{\rm{r}}^{ - 1}}} \right)$	$- {5.64}_{- 0.16}^{+ 0.15}$ $- 5.64_{ - 0.16}^{ + 0.15}$	$- {5.61}_{- 0.05}^{+ 0.05}$ $- 5.61_{ - 0.05}^{ + 0.05}$	$- {5.39}_{- 0.11}^{+ 0.09}$ $- 5.39_{ - 0.11}^{ + 0.09}$	–	–	$- {5.57}_{- 0.06}^{+ 0.06}$ $- 5.57_{ - 0.06}^{ + 0.06}$	$- {5.45}_{- 0.16}^{+ 0.16}$ $- 5.45_{ - 0.16}^{ + 0.16}$
v_∞ (km s⁻¹)	1925	1876	$1925_{- 150}^{+ 25}$ $1925_{ - 150}^{ + 25}$	–	$1805_{- 100}^{+ 100}$ $1805_{ - 100}^{ + 100}$	2100	$1800_{- 200}^{+ 200}$ $1800_{ - 200}^{ + 200}$
v sin i (km s⁻¹)	196 ± 20	$185_{- 10}^{+ 30}$ $185_{ - 10}^{ + 30}$	185	~200	197	200	$180_{- 20}^{+ 20}$ $180_{ - 20}^{ + 20}$
v_rad(km s⁻¹)	−230	$- 214_{- 16}^{+ 16}$ $- 214_{ - 16}^{ + 16}$	$- 216_{- 16}^{+ 16}$ $- 216_{ - 16}^{ + 16}$	~250	−235	~210	$- 228_{- 20}^{+ 20}$ $- 228_{ - 20}^{ + 20}$
v_mac(km s⁻¹)	60	0	0	20	80	0	70
ξ (km s⁻¹)	20	15	15	10	15	20	20
v_windturb (km s⁻¹)	–	187	$260_{- 29}^{+ 77}$ $260_{ - 29}^{ + 77}$	–	180	–	180
X_H (mass fr.)	0.62	${0.63}_{- 0.05}^{+ 0.05}$ $0.63_{ - 0.05}^{ + 0.05}$	0.63	< 0.74	0.63	0.654	0.65
X_He (mass fr.)	0.37	${0.36}_{- 0.05}^{+ 0.05}$ $0.36_{ - 0.05}^{ + 0.05}$	0.36	> 0.26	0.36	0.34	${0.34}_{- 0.05}^{+ 0.1}$ $0.34_{ - 0.05}^{ + 0.1}$
X_C/10⁻⁴ (mass fr.)	3.7	${1.9}_{- 1.5}^{+ 4.0}$ $1.9_{ - 1.5}^{ + 4.0}$	${3.1}_{- 0.5}^{+ 11.8}$ $3.1_{ - 0.5}^{ + 11.8}$	–	${4.5}_{- 0.5}^{+ 2}$ $4.5_{ - 0.5}^{ + 2}$	$4_{- 2}^{+ 2}$ $4_{ - 2}^{ + 2}$	$5_{- 1}^{+ 1}$ $5_{ - 1}^{ + 1}$
X_N/10⁻⁴ (mass fr.)	1.2	$40_{- 17}^{+ 69}$ $40_{ - 17}^{ + 69}$	$80_{- 33}^{+ 17}$ $80_{ - 33}^{ + 17}$	–	$40_{- 10}^{+ 9}$ $40_{ - 10}^{ + 9}$	$12_{- 4}^{+ 4}$ $12_{ - 4}^{ + 4}$	$50_{- 10}^{+ 10}$ $50_{ - 10}^{ + 10}$
X_O/10⁻³ (mass fr.)	2 2	${0.04}_{- 0.01}^{+ 3.47}$ $0.04_{ - 0.01}^{ + 3.47}$	${1.3}_{- 0.7}^{+ 11.2}$ $1.3_{ - 0.7}^{ + 11.2}$	–	${1.9}_{- 0.5}^{+ 1.}$ $1.9_{ - 0.5}^{ + 1.}$	${1.6}_{- 0.6}^{+ 0.6}$ $1.6_{ - 0.6}^{ + 0.6}$	$3_{- 0.5}^{+ 0.5}$ $3_{ - 0.5}^{ + 0.5}$
y_He	0.15 ± 0.02	0.14 ± 0.03	0.14	> 0.09	0.14 ± 0.02	0.13	0.13
ϵ_C	7.7	${7.40}_{- 0.65}^{+ 0.45}$ $7.40_{ - 0.65}^{ + 0.45}$	${7.60}_{- 0.05}^{+ 0.65}$ $7.60_{ - 0.05}^{ + 0.65}$	–	7.77	7.71	7.81
ϵ_N	7.1	${8.65}_{- 0.20}^{+ 0.40}$ $8.65_{ - 0.20}^{ + 0.40}$	${8.95}_{- 0.20}^{+ 0.05}$ $8.95_{ - 0.20}^{ + 0.05}$	–	8.65	8.24	8.82
ϵ_O	8.3	${6.60}_{- 0.05}^{+ 1.90}$ $6.60_{ - 0.05}^{ + 1.90}$	${8.10}_{- 0.30}^{+ 0.95}$ $8.10_{ - 0.30}^{ + 0.95}$	–	8.27	8.18	8.46
E_b–v (mag)	0.07	0.20	0.20	0.1	0.11	0.095	0.095
log(L_X/L)	–	−7.16	−7.04	–	−6.4	−5.87	−8.1
log Q_h (s⁻¹)	–	${49.21}_{- 0.06}^{+ 0.03}$ $49.21_{ - 0.06}^{ + 0.03}$	${49.06}_{- 0.02}^{+ 0.03}$ $49.06_{ - 0.02}^{ + 0.03}$	49.1	49.55	–	48.93
log Q_{He I} (s⁻¹)	–	${48.22}_{- 0.11}^{+ 0.04}$ $48.22_{ - 0.11}^{ + 0.04}$	${47.91}_{- 0.02}^{+ 0.04}$ $47.91_{ - 0.02}^{ + 0.04}$	48.1	48.55	–	47.73
log Q_{He II} (s⁻¹)	–	${41.40}_{- 0.15}^{+ 0.07}$ $41.40_{ - 0.15}^{ + 0.07}$	${41.13}_{- 0.04}^{+ 0.09}$ $41.13_{ - 0.04}^{ + 0.09}$	–	39.50	–	40.46
log Q_ws	−12.1 ± 0.1	−12.3	−12.1 ± 0.1	−12.3	−12.2	−12.3	−12.1
$D_{\infty} or f_{cl} or f_{v}^{- 1}$ ${D_\infty }{\rm{ or }}{f_{{\rm{cl}}}}{\rm{ or }}f_{\rm{v}}^{ - 1}$	1	10	$35_{- 4}^{+ 8}$ $35_{ - 4}^{ + 8}$	1	$20_{- 7}^{+ 5}$ $20_{ - 7}^{ + 5}$	5	$5_{- 3}^{+ 3}$ $5_{ - 3}^{ + 3}$
v_cl (km s⁻¹)	–	–	–	–	30	20	–
v_cl,start (km s⁻¹)	–	94	$146_{- 37}^{+ 73}$ $146_{ - 37}^{ + 73}$	–	–	–	–
R_D (R₂₀)	–	–	–	–	–	–	5
log f_ic	–	−1	$- {0.64}_{- 0.04}^{+ 0.10}$ $- 0.64_{ - 0.04}^{ + 0.10}$	–	–	–	–
f_vel	–	0.5		–	–	–	–
T₂₀ (kK)	–	–	–	–	–	35.9 ± 0.2	$34_{- 1}^{+ 1}$ $34_{ - 1}^{ + 1}$
R₂₀ (R_⊙)	–	–	–	–	–	13.2	${13.7}_{- 1}^{+ 1}$ $13.7_{ - 1}^{ + 1}$
T₁₀₀ (kK)	–	–	–	–	–	36.0 ± 0.2	–

Notes. ^(†)For optically thin clumping with no inter-clump medium: $D_{\infty} = f_{cl} = f_{V}^{- 1}$ ${D_\infty } = {f_{{\rm{cl}}}} = f_{\rm{V}}^{ - 1}$ (cf. Sect. 3.1.2) ^(‡)Three dots (…) indicate that a quantity is included as a free parameter, but cannot be constrained. For an unconstrained $f_{cl}, \log (\dot{M} \sqrt{f_{cl}})$ ${f_{{\rm{cl}}}},\log \left( {\dot M\sqrt {{f_{{\rm{cl}}}}} } \right)$ and log Q_ws are computed assuming f_cl = 15.

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