Table 8
System parameters based on spectroscopy.
Parameter | VFTS 450 | VFTS 652 | ||||||||||||
|
|
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M1 | ΔM(IC) | Δq | Δℱ2 | ΔTeff(1) | ΔTeff(2) | M1 | ΔM(IC) | Δq | Δℱ2 | ΔTeff(1) | ΔTeff(2) | |||
|
||||||||||||||
M(IC) | −6.01 | ±0.20 | −5.67 | ±0.20 | ||||||||||
q | 0.61 | ±0.05 | 0.40 | ±0.05 | ||||||||||
ℱ2 | 0.25 | ±0.10 | 0.25 | ±0.10 | ||||||||||
Teff(1) (kK) | 27.00 | ±1.0 | 22.2 | ±1.0 | ||||||||||
Teff(2) (kK) | 34.25 | ±2.0 | 35.0 | ±2.0 | ||||||||||
R1/R⊙ | 22.0 | ∓2.0 | ··· | ∓1.5 | ∓0.7 | ··· | 22.1 | ∓2.0 | ··· | ∓1.5 | ∓0.8 | ··· | ||
M1/M⊙ | 29.7 | ∓8.4 | ∓0.3 | ∓5.9 | ∓2.8 | ··· | 20.1 | ∓5.7 | ∓0.2 | ∓4.1 | ∓2.2 | ··· | ||
log (L1/L⊙) | 5.36 | ∓0.08 | ··· | ∓0.06 | ±0.04 | ··· | 5.03 | ∓0.08 | ··· | ∓0.06 | ±0.05 | ··· | ||
log g1 (cgs) | 3.23 | ∓0.04 | ∓0.00 | ∓0.03 | ∓0.01 | ··· | 3.05 | ∓0.04 | ∓0.00 | ∓0.03 | ∓0.02 | ··· | ||
v1(c)sini (kms-1) | 113 | ··· | ±6 | ··· | ··· | ··· | 85 | ··· | ±6 | ··· | ··· | ··· | ||
R2/R⊙ | 10.1 | ∓0.9 | ··· | ±2.1 | ··· | ∓0.5 | 8.5 | ∓0.8 | ··· | ±1.7 | ··· | ∓0.4 | ||
R2/RL | 0.37 | ··· | ±0.01 | ±0.10 | ±0.01 | ∓0.02 | 0.25 | ··· | ±0.01 | ±0.07 | ±0.01 | ∓0.01 | ||
M2/M⊙ | 48.7 | ∓13.6 | ∓4.5 | ∓9.7 | ∓4.6 | ··· | 50.2 | ∓14.2 | ∓6.8 | ∓10.2 | ∓5.4 | ··· | ||
log (L2/L⊙) | 5.10 | ∓0.08 | ··· | ±0.18 | ··· | ±0.06 | 5.00 | ∓0.08 | ··· | ±0.18 | ··· | ±0.06 | ||
log g2 (cgs) | 4.11 | ∓0.04 | ∓0.04 | ∓0.27 | ∓0.04 | ±0.04 | 4.28 | ∓0.04 | ∓0.06 | ∓0.27 | ∓0.05 | ±0.04 | ||
v2(c)sini (kms-1) | 52 | ··· | ±3 | ±14 | ±2 | ∓3 | 33 | ··· | ±2 | ±9 | ±1 | ∓1 | ||
sin(i) | 0.70 | ±0.07 | ±0.04 | ±0.05 | ±0.02 | ··· | 0.66 | ±0.07 | ±0.04 | ±0.04 | ±0.02 | ··· |
Notes. The first five rows are input parameters, while subsequent entries are derived quantities, obtained by assuming that the primaries fill their Roche lobes. The baseline first-estimate models (columns headed “M1”) result from adopting spectroscopic results directly; these models are discussed in Sect. 5.2. The “vi(c)sini” rows list the projected equatorial corotation velocities (obtained by assuming that orbital and rotational angular momenta are aligned). Subsequent columns illustrate the sensitivities of derived quantities to moderate changes in input parameters. (The spectroscopic analysis may not faithfully reflect the secondary photospheres, in which case the parameters are subject to larger uncertainties; cf. Sect. 5.5.)
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