Orbital and astrophysical parameters of BG Ind from the joint photodynamical light curve, RV, ETV, SED, and PARSEC isochrone solution.
Orbital elements . | |||||
---|---|---|---|---|---|
. | Subsystem . | . | . | ||
. | A . | B . | A–B . | ||
Pa (d) | |$1.464\,065_{-0.000\,002}^{+0.000\,002}$| | |$0.528\,349_{-0.000\,002}^{+0.000\,002}$| | |$720.9_{-3.1}^{+3.4}$| | ||
a (R⊙) | |$7.602_{-0.043}^{+0.038}$| | |$3.025_{-0.016}^{+0.011}$| | |$540.4_{-2.2}^{+2.7}$| | ||
e | 0 | 0 | |$0.209_{-0.048}^{+0.028}$| | ||
ω (°) | − | − | |$1.6_{-8.8}^{+9.2}$| | ||
i (°) | |$73.27_{-0.13}^{+0.06}$| | |$84.29_{-0.87}^{+0.85}$| | |$85.5_{-6.3}^{+3.1}$| | ||
|$\mathcal {T}^\mathrm{pri}$| [BJD – 2400 000 ] | |$58326.1362_{-0.0012}^{+0.0011}$| | |$58325.8072_{-0.0022}^{+0.0025}$| | |||
τ [BJD – 24000 00] | − | − | |$58699_{-21}^{+14}$| | ||
Mass ratio [q = msec/mpri] | |$0.919_{-0.006}^{+0.010}$| | |$0.932_{-0.015}^{+0.014}$| | |$0.483_{-0.005}^{+0.007}$| | ||
Kpri (km s−1) | |$120.47_{-0.75}^{+1.12}$| | |$138.98_{-1.39}^{+1.23}$| | |$12.57_{-0.24}^{+0.17}$| | ||
Ksec (km s−1) | |$130.99_{-0.50}^{+0.48}$| | |$149.25_{-1.13}^{+1.09}$| | |$26.02_{-0.50}^{+0.31}$| | ||
γ (km s−1) | − | |$48.69_{-0.59}^{+0.29}$| | |||
Stellar parameters | |||||
Aa | Ab | Ba | Bb | ||
Relative quantities and atmospheric properties | |||||
Fractional radiusb [R/a] | |$0.3084_{-0.0044}^{+0.0016}$| | |$0.2096_{-0.0019}^{+0.0052}$| | |$0.2120_{-0.0014}^{+0.0013}$| | |$0.2019_{-0.0020}^{+0.0018}$| | |
Fractional flux [in TESS-band] | |$0.6294_{-0.0153}^{+0.0064}$| | |$0.3475_{-0.0060}^{+0.0165}$| | |$0.0133_{-0.0008}^{+0.0009}$| | |$0.0092_{-0.0007}^{+0.0008}$| | |
|$x_\mathrm{bol}^c$| | |$0.676_{-0.001}^{+0.001}$| | |$0.671_{-0.001}^{+0.001}$| | ... | ... | |
|$y_\mathrm{bol}^c$| | |$0.174_{-0.003}^{+0.002}$| | |$0.198_{-0.003}^{+0.002}$| | ... | ... | |
|$x_{TESS}^c$| | |$0.631_{-0.001}^{+0.001}$| | |$0.618_{-0.001}^{+0.001}$| | |$0.720_{-0.001}^{+0.001}$| | |$0.724_{-0.002}^{+0.001}$| | |
|$y_{TESS}^c$| | |$0.347_{-0.002}^{+0.002}$| | |$0.354_{-0.003}^{+0.002}$| | |$0.281_{-0.005}^{+0.005}$| | |$0.325_{-0.018}^{+0.019}$| | |
βd | |$0.11_{-0.07}^{+0.10}$| | |$0.64_{-0.33}^{+0.29}$| | 0.32 | 0.32 | |
Physical quantities | |||||
m (M⊙) | |$1.432_{-0.024}^{+0.015}$| | |$1.315_{-0.023}^{+0.026}$| | |$0.688_{-0.011}^{+0.008}$| | |$0.640_{-0.011}^{+0.010}$| | |
Rb (R⊙) | |$2.339_{-0.021}^{+0.016}$| | |$1.592_{-0.019}^{+0.047}$| | |$0.642_{-0.007}^{+0.005}$| | |$0.611_{-0.009}^{+0.008}$| | |
|$T_\mathrm{eff}^b$| (K) | |$6442_{-28}^{+29}$| | |$6816_{-26}^{+26}$| | |$4609_{-49}^{+48}$| | |$4327_{-57}^{+62}$| | |
|$L_\mathrm{bol}^b$| (L⊙) | |$8.433_{-0.169}^{+0.199}$| | |$4.934_{-0.179}^{+0.279}$| | |$0.167_{-0.009}^{+0.009}$| | |$0.118_{-0.009}^{+0.009}$| | |
|$M_\mathrm{bol}^b$| | |$2.45_{-0.03}^{+0.02}$| | |$3.04_{-0.06}^{+0.04}$| | |$6.72_{-0.06}^{+0.06}$| | |$7.09_{-0.08}^{+0.08}$| | |
|$M_V^b$| | |$2.45_{-0.03}^{+0.03}$| | |$3.02_{-0.06}^{+0.04}$| | |$7.23_{-0.09}^{+0.10}$| | |$7.83_{-0.13}^{+0.13}$| | |
log gb (dex) | |$3.852_{-0.005}^{+0.011}$| | |$4.150_{-0.016}^{+0.007}$| | |$4.660_{-0.002}^{+0.003}$| | |$4.672_{-0.004}^{+0.004}$| | |
Global quantities | |||||
log (age)b, e (dex) | |$9.40_{-0.01}^{+0.02}$| | |$9.32_{-0.01}^{+0.03}$| | |||
[M/H]b (dex) | |$-0.189_{-0.037}^{+0.038}$| | ||||
E(B − V) (mag) | |$0.018_{-0.013}^{+0.015}$| | ||||
|$(M_V)_\mathrm{tot}^b$| | |$1.93_{-0.03}^{+0.03}$| | ||||
Distance (pc) | |$69.7_{-0.9}^{+0.7}$| |
Orbital elements . | |||||
---|---|---|---|---|---|
. | Subsystem . | . | . | ||
. | A . | B . | A–B . | ||
Pa (d) | |$1.464\,065_{-0.000\,002}^{+0.000\,002}$| | |$0.528\,349_{-0.000\,002}^{+0.000\,002}$| | |$720.9_{-3.1}^{+3.4}$| | ||
a (R⊙) | |$7.602_{-0.043}^{+0.038}$| | |$3.025_{-0.016}^{+0.011}$| | |$540.4_{-2.2}^{+2.7}$| | ||
e | 0 | 0 | |$0.209_{-0.048}^{+0.028}$| | ||
ω (°) | − | − | |$1.6_{-8.8}^{+9.2}$| | ||
i (°) | |$73.27_{-0.13}^{+0.06}$| | |$84.29_{-0.87}^{+0.85}$| | |$85.5_{-6.3}^{+3.1}$| | ||
|$\mathcal {T}^\mathrm{pri}$| [BJD – 2400 000 ] | |$58326.1362_{-0.0012}^{+0.0011}$| | |$58325.8072_{-0.0022}^{+0.0025}$| | |||
τ [BJD – 24000 00] | − | − | |$58699_{-21}^{+14}$| | ||
Mass ratio [q = msec/mpri] | |$0.919_{-0.006}^{+0.010}$| | |$0.932_{-0.015}^{+0.014}$| | |$0.483_{-0.005}^{+0.007}$| | ||
Kpri (km s−1) | |$120.47_{-0.75}^{+1.12}$| | |$138.98_{-1.39}^{+1.23}$| | |$12.57_{-0.24}^{+0.17}$| | ||
Ksec (km s−1) | |$130.99_{-0.50}^{+0.48}$| | |$149.25_{-1.13}^{+1.09}$| | |$26.02_{-0.50}^{+0.31}$| | ||
γ (km s−1) | − | |$48.69_{-0.59}^{+0.29}$| | |||
Stellar parameters | |||||
Aa | Ab | Ba | Bb | ||
Relative quantities and atmospheric properties | |||||
Fractional radiusb [R/a] | |$0.3084_{-0.0044}^{+0.0016}$| | |$0.2096_{-0.0019}^{+0.0052}$| | |$0.2120_{-0.0014}^{+0.0013}$| | |$0.2019_{-0.0020}^{+0.0018}$| | |
Fractional flux [in TESS-band] | |$0.6294_{-0.0153}^{+0.0064}$| | |$0.3475_{-0.0060}^{+0.0165}$| | |$0.0133_{-0.0008}^{+0.0009}$| | |$0.0092_{-0.0007}^{+0.0008}$| | |
|$x_\mathrm{bol}^c$| | |$0.676_{-0.001}^{+0.001}$| | |$0.671_{-0.001}^{+0.001}$| | ... | ... | |
|$y_\mathrm{bol}^c$| | |$0.174_{-0.003}^{+0.002}$| | |$0.198_{-0.003}^{+0.002}$| | ... | ... | |
|$x_{TESS}^c$| | |$0.631_{-0.001}^{+0.001}$| | |$0.618_{-0.001}^{+0.001}$| | |$0.720_{-0.001}^{+0.001}$| | |$0.724_{-0.002}^{+0.001}$| | |
|$y_{TESS}^c$| | |$0.347_{-0.002}^{+0.002}$| | |$0.354_{-0.003}^{+0.002}$| | |$0.281_{-0.005}^{+0.005}$| | |$0.325_{-0.018}^{+0.019}$| | |
βd | |$0.11_{-0.07}^{+0.10}$| | |$0.64_{-0.33}^{+0.29}$| | 0.32 | 0.32 | |
Physical quantities | |||||
m (M⊙) | |$1.432_{-0.024}^{+0.015}$| | |$1.315_{-0.023}^{+0.026}$| | |$0.688_{-0.011}^{+0.008}$| | |$0.640_{-0.011}^{+0.010}$| | |
Rb (R⊙) | |$2.339_{-0.021}^{+0.016}$| | |$1.592_{-0.019}^{+0.047}$| | |$0.642_{-0.007}^{+0.005}$| | |$0.611_{-0.009}^{+0.008}$| | |
|$T_\mathrm{eff}^b$| (K) | |$6442_{-28}^{+29}$| | |$6816_{-26}^{+26}$| | |$4609_{-49}^{+48}$| | |$4327_{-57}^{+62}$| | |
|$L_\mathrm{bol}^b$| (L⊙) | |$8.433_{-0.169}^{+0.199}$| | |$4.934_{-0.179}^{+0.279}$| | |$0.167_{-0.009}^{+0.009}$| | |$0.118_{-0.009}^{+0.009}$| | |
|$M_\mathrm{bol}^b$| | |$2.45_{-0.03}^{+0.02}$| | |$3.04_{-0.06}^{+0.04}$| | |$6.72_{-0.06}^{+0.06}$| | |$7.09_{-0.08}^{+0.08}$| | |
|$M_V^b$| | |$2.45_{-0.03}^{+0.03}$| | |$3.02_{-0.06}^{+0.04}$| | |$7.23_{-0.09}^{+0.10}$| | |$7.83_{-0.13}^{+0.13}$| | |
log gb (dex) | |$3.852_{-0.005}^{+0.011}$| | |$4.150_{-0.016}^{+0.007}$| | |$4.660_{-0.002}^{+0.003}$| | |$4.672_{-0.004}^{+0.004}$| | |
Global quantities | |||||
log (age)b, e (dex) | |$9.40_{-0.01}^{+0.02}$| | |$9.32_{-0.01}^{+0.03}$| | |||
[M/H]b (dex) | |$-0.189_{-0.037}^{+0.038}$| | ||||
E(B − V) (mag) | |$0.018_{-0.013}^{+0.015}$| | ||||
|$(M_V)_\mathrm{tot}^b$| | |$1.93_{-0.03}^{+0.03}$| | ||||
Distance (pc) | |$69.7_{-0.9}^{+0.7}$| |
aTime of the inferior conjunction of the secondary component (i.e. mid-time of a primary eclipse). bInterpolated (or derived) from the PARSEC isochrones. cinterpolated linear (x) and logarithmic (y) limb-darkening coefficients. Note that bolometric coefficients used only during the calculation of the reflection effect; therefore, they were not set for binary B. dGravity darkening coefficients. eThe age of the evolved primary component of binary A was allowed to vary independently of the other three stars – see the text for details.
Orbital and astrophysical parameters of BG Ind from the joint photodynamical light curve, RV, ETV, SED, and PARSEC isochrone solution.
Orbital elements . | |||||
---|---|---|---|---|---|
. | Subsystem . | . | . | ||
. | A . | B . | A–B . | ||
Pa (d) | |$1.464\,065_{-0.000\,002}^{+0.000\,002}$| | |$0.528\,349_{-0.000\,002}^{+0.000\,002}$| | |$720.9_{-3.1}^{+3.4}$| | ||
a (R⊙) | |$7.602_{-0.043}^{+0.038}$| | |$3.025_{-0.016}^{+0.011}$| | |$540.4_{-2.2}^{+2.7}$| | ||
e | 0 | 0 | |$0.209_{-0.048}^{+0.028}$| | ||
ω (°) | − | − | |$1.6_{-8.8}^{+9.2}$| | ||
i (°) | |$73.27_{-0.13}^{+0.06}$| | |$84.29_{-0.87}^{+0.85}$| | |$85.5_{-6.3}^{+3.1}$| | ||
|$\mathcal {T}^\mathrm{pri}$| [BJD – 2400 000 ] | |$58326.1362_{-0.0012}^{+0.0011}$| | |$58325.8072_{-0.0022}^{+0.0025}$| | |||
τ [BJD – 24000 00] | − | − | |$58699_{-21}^{+14}$| | ||
Mass ratio [q = msec/mpri] | |$0.919_{-0.006}^{+0.010}$| | |$0.932_{-0.015}^{+0.014}$| | |$0.483_{-0.005}^{+0.007}$| | ||
Kpri (km s−1) | |$120.47_{-0.75}^{+1.12}$| | |$138.98_{-1.39}^{+1.23}$| | |$12.57_{-0.24}^{+0.17}$| | ||
Ksec (km s−1) | |$130.99_{-0.50}^{+0.48}$| | |$149.25_{-1.13}^{+1.09}$| | |$26.02_{-0.50}^{+0.31}$| | ||
γ (km s−1) | − | |$48.69_{-0.59}^{+0.29}$| | |||
Stellar parameters | |||||
Aa | Ab | Ba | Bb | ||
Relative quantities and atmospheric properties | |||||
Fractional radiusb [R/a] | |$0.3084_{-0.0044}^{+0.0016}$| | |$0.2096_{-0.0019}^{+0.0052}$| | |$0.2120_{-0.0014}^{+0.0013}$| | |$0.2019_{-0.0020}^{+0.0018}$| | |
Fractional flux [in TESS-band] | |$0.6294_{-0.0153}^{+0.0064}$| | |$0.3475_{-0.0060}^{+0.0165}$| | |$0.0133_{-0.0008}^{+0.0009}$| | |$0.0092_{-0.0007}^{+0.0008}$| | |
|$x_\mathrm{bol}^c$| | |$0.676_{-0.001}^{+0.001}$| | |$0.671_{-0.001}^{+0.001}$| | ... | ... | |
|$y_\mathrm{bol}^c$| | |$0.174_{-0.003}^{+0.002}$| | |$0.198_{-0.003}^{+0.002}$| | ... | ... | |
|$x_{TESS}^c$| | |$0.631_{-0.001}^{+0.001}$| | |$0.618_{-0.001}^{+0.001}$| | |$0.720_{-0.001}^{+0.001}$| | |$0.724_{-0.002}^{+0.001}$| | |
|$y_{TESS}^c$| | |$0.347_{-0.002}^{+0.002}$| | |$0.354_{-0.003}^{+0.002}$| | |$0.281_{-0.005}^{+0.005}$| | |$0.325_{-0.018}^{+0.019}$| | |
βd | |$0.11_{-0.07}^{+0.10}$| | |$0.64_{-0.33}^{+0.29}$| | 0.32 | 0.32 | |
Physical quantities | |||||
m (M⊙) | |$1.432_{-0.024}^{+0.015}$| | |$1.315_{-0.023}^{+0.026}$| | |$0.688_{-0.011}^{+0.008}$| | |$0.640_{-0.011}^{+0.010}$| | |
Rb (R⊙) | |$2.339_{-0.021}^{+0.016}$| | |$1.592_{-0.019}^{+0.047}$| | |$0.642_{-0.007}^{+0.005}$| | |$0.611_{-0.009}^{+0.008}$| | |
|$T_\mathrm{eff}^b$| (K) | |$6442_{-28}^{+29}$| | |$6816_{-26}^{+26}$| | |$4609_{-49}^{+48}$| | |$4327_{-57}^{+62}$| | |
|$L_\mathrm{bol}^b$| (L⊙) | |$8.433_{-0.169}^{+0.199}$| | |$4.934_{-0.179}^{+0.279}$| | |$0.167_{-0.009}^{+0.009}$| | |$0.118_{-0.009}^{+0.009}$| | |
|$M_\mathrm{bol}^b$| | |$2.45_{-0.03}^{+0.02}$| | |$3.04_{-0.06}^{+0.04}$| | |$6.72_{-0.06}^{+0.06}$| | |$7.09_{-0.08}^{+0.08}$| | |
|$M_V^b$| | |$2.45_{-0.03}^{+0.03}$| | |$3.02_{-0.06}^{+0.04}$| | |$7.23_{-0.09}^{+0.10}$| | |$7.83_{-0.13}^{+0.13}$| | |
log gb (dex) | |$3.852_{-0.005}^{+0.011}$| | |$4.150_{-0.016}^{+0.007}$| | |$4.660_{-0.002}^{+0.003}$| | |$4.672_{-0.004}^{+0.004}$| | |
Global quantities | |||||
log (age)b, e (dex) | |$9.40_{-0.01}^{+0.02}$| | |$9.32_{-0.01}^{+0.03}$| | |||
[M/H]b (dex) | |$-0.189_{-0.037}^{+0.038}$| | ||||
E(B − V) (mag) | |$0.018_{-0.013}^{+0.015}$| | ||||
|$(M_V)_\mathrm{tot}^b$| | |$1.93_{-0.03}^{+0.03}$| | ||||
Distance (pc) | |$69.7_{-0.9}^{+0.7}$| |
Orbital elements . | |||||
---|---|---|---|---|---|
. | Subsystem . | . | . | ||
. | A . | B . | A–B . | ||
Pa (d) | |$1.464\,065_{-0.000\,002}^{+0.000\,002}$| | |$0.528\,349_{-0.000\,002}^{+0.000\,002}$| | |$720.9_{-3.1}^{+3.4}$| | ||
a (R⊙) | |$7.602_{-0.043}^{+0.038}$| | |$3.025_{-0.016}^{+0.011}$| | |$540.4_{-2.2}^{+2.7}$| | ||
e | 0 | 0 | |$0.209_{-0.048}^{+0.028}$| | ||
ω (°) | − | − | |$1.6_{-8.8}^{+9.2}$| | ||
i (°) | |$73.27_{-0.13}^{+0.06}$| | |$84.29_{-0.87}^{+0.85}$| | |$85.5_{-6.3}^{+3.1}$| | ||
|$\mathcal {T}^\mathrm{pri}$| [BJD – 2400 000 ] | |$58326.1362_{-0.0012}^{+0.0011}$| | |$58325.8072_{-0.0022}^{+0.0025}$| | |||
τ [BJD – 24000 00] | − | − | |$58699_{-21}^{+14}$| | ||
Mass ratio [q = msec/mpri] | |$0.919_{-0.006}^{+0.010}$| | |$0.932_{-0.015}^{+0.014}$| | |$0.483_{-0.005}^{+0.007}$| | ||
Kpri (km s−1) | |$120.47_{-0.75}^{+1.12}$| | |$138.98_{-1.39}^{+1.23}$| | |$12.57_{-0.24}^{+0.17}$| | ||
Ksec (km s−1) | |$130.99_{-0.50}^{+0.48}$| | |$149.25_{-1.13}^{+1.09}$| | |$26.02_{-0.50}^{+0.31}$| | ||
γ (km s−1) | − | |$48.69_{-0.59}^{+0.29}$| | |||
Stellar parameters | |||||
Aa | Ab | Ba | Bb | ||
Relative quantities and atmospheric properties | |||||
Fractional radiusb [R/a] | |$0.3084_{-0.0044}^{+0.0016}$| | |$0.2096_{-0.0019}^{+0.0052}$| | |$0.2120_{-0.0014}^{+0.0013}$| | |$0.2019_{-0.0020}^{+0.0018}$| | |
Fractional flux [in TESS-band] | |$0.6294_{-0.0153}^{+0.0064}$| | |$0.3475_{-0.0060}^{+0.0165}$| | |$0.0133_{-0.0008}^{+0.0009}$| | |$0.0092_{-0.0007}^{+0.0008}$| | |
|$x_\mathrm{bol}^c$| | |$0.676_{-0.001}^{+0.001}$| | |$0.671_{-0.001}^{+0.001}$| | ... | ... | |
|$y_\mathrm{bol}^c$| | |$0.174_{-0.003}^{+0.002}$| | |$0.198_{-0.003}^{+0.002}$| | ... | ... | |
|$x_{TESS}^c$| | |$0.631_{-0.001}^{+0.001}$| | |$0.618_{-0.001}^{+0.001}$| | |$0.720_{-0.001}^{+0.001}$| | |$0.724_{-0.002}^{+0.001}$| | |
|$y_{TESS}^c$| | |$0.347_{-0.002}^{+0.002}$| | |$0.354_{-0.003}^{+0.002}$| | |$0.281_{-0.005}^{+0.005}$| | |$0.325_{-0.018}^{+0.019}$| | |
βd | |$0.11_{-0.07}^{+0.10}$| | |$0.64_{-0.33}^{+0.29}$| | 0.32 | 0.32 | |
Physical quantities | |||||
m (M⊙) | |$1.432_{-0.024}^{+0.015}$| | |$1.315_{-0.023}^{+0.026}$| | |$0.688_{-0.011}^{+0.008}$| | |$0.640_{-0.011}^{+0.010}$| | |
Rb (R⊙) | |$2.339_{-0.021}^{+0.016}$| | |$1.592_{-0.019}^{+0.047}$| | |$0.642_{-0.007}^{+0.005}$| | |$0.611_{-0.009}^{+0.008}$| | |
|$T_\mathrm{eff}^b$| (K) | |$6442_{-28}^{+29}$| | |$6816_{-26}^{+26}$| | |$4609_{-49}^{+48}$| | |$4327_{-57}^{+62}$| | |
|$L_\mathrm{bol}^b$| (L⊙) | |$8.433_{-0.169}^{+0.199}$| | |$4.934_{-0.179}^{+0.279}$| | |$0.167_{-0.009}^{+0.009}$| | |$0.118_{-0.009}^{+0.009}$| | |
|$M_\mathrm{bol}^b$| | |$2.45_{-0.03}^{+0.02}$| | |$3.04_{-0.06}^{+0.04}$| | |$6.72_{-0.06}^{+0.06}$| | |$7.09_{-0.08}^{+0.08}$| | |
|$M_V^b$| | |$2.45_{-0.03}^{+0.03}$| | |$3.02_{-0.06}^{+0.04}$| | |$7.23_{-0.09}^{+0.10}$| | |$7.83_{-0.13}^{+0.13}$| | |
log gb (dex) | |$3.852_{-0.005}^{+0.011}$| | |$4.150_{-0.016}^{+0.007}$| | |$4.660_{-0.002}^{+0.003}$| | |$4.672_{-0.004}^{+0.004}$| | |
Global quantities | |||||
log (age)b, e (dex) | |$9.40_{-0.01}^{+0.02}$| | |$9.32_{-0.01}^{+0.03}$| | |||
[M/H]b (dex) | |$-0.189_{-0.037}^{+0.038}$| | ||||
E(B − V) (mag) | |$0.018_{-0.013}^{+0.015}$| | ||||
|$(M_V)_\mathrm{tot}^b$| | |$1.93_{-0.03}^{+0.03}$| | ||||
Distance (pc) | |$69.7_{-0.9}^{+0.7}$| |
aTime of the inferior conjunction of the secondary component (i.e. mid-time of a primary eclipse). bInterpolated (or derived) from the PARSEC isochrones. cinterpolated linear (x) and logarithmic (y) limb-darkening coefficients. Note that bolometric coefficients used only during the calculation of the reflection effect; therefore, they were not set for binary B. dGravity darkening coefficients. eThe age of the evolved primary component of binary A was allowed to vary independently of the other three stars – see the text for details.
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