Table 3.

Parameters for β Vir (2017 April 3–24) and θ Dra ( 2017 April 6–24) derived from the maximum-entropy image reconstructions, wind modelling inputs, and magnetic cycle determination using GLS periodogram of S-index. All parameters are from this work except where marked. ZDI determined parameters use Stokes V data except where marked and include χ2 minimization and Ωeq versus dΩ grid search.

Parameterβ Virθ Dra
zdi determined parameters
Inclination (deg) (χ2 min)36 ± 237 ± 2
vsin i (km s−1) (χ2 min)6.1 ± 2.6a28.1 ± 0.2
Prot (d) (χ2 min)9.2 ± 0.2b2.88 ± 0.02
Prot (d) (grid search)9.1 ± 0.42.88 ± 0.02
dΩ (rad d−1) (χ2 min)0.21 ± 0.020.18 ± 0.02
dΩ (rad d−1) (grid search)0.23 ± 0.090.18 ± 0.03
Eq-pole lap time (d)|$29.9^{+3.1}_{-2.6}$||$34.9^{+4.4}_{-3.9}$|
S-index cycle
No. observations49105
Observation baseline (d)6873
Cycle length (d)83 ± 1443 ± 2
No. cycles observed0.81.7
FAP<10−3<10−9
Wind model input
Stellar mass (M)c1.131.17
Stellar radius (R)c1.752.67
Wind model parameterValue
Chromospheric base temperature, Tchr|$5 \times 10^{4}\, \mathrm{K}$|
Chromospheric base density, nchr|$2 \times 10^{17}\, \mathrm{m}^{-3}$|
Poynting flux-to-field ratio, |$\Pi _{\small {A}}/B$||$1.1 \times 10^{6} \, \mathrm{Watt\, m^{-2}\, T^{-1}}$|
Turbulence trans. corr. length, |$L_\perp \sqrt{B}$||$1.5 \times 10^{5}\, \mathrm{m\, T^{1/2}}$|
Coulomb logarithm, |$\Lambda _{\small {C}}$|20
Parameterβ Virθ Dra
zdi determined parameters
Inclination (deg) (χ2 min)36 ± 237 ± 2
vsin i (km s−1) (χ2 min)6.1 ± 2.6a28.1 ± 0.2
Prot (d) (χ2 min)9.2 ± 0.2b2.88 ± 0.02
Prot (d) (grid search)9.1 ± 0.42.88 ± 0.02
dΩ (rad d−1) (χ2 min)0.21 ± 0.020.18 ± 0.02
dΩ (rad d−1) (grid search)0.23 ± 0.090.18 ± 0.03
Eq-pole lap time (d)|$29.9^{+3.1}_{-2.6}$||$34.9^{+4.4}_{-3.9}$|
S-index cycle
No. observations49105
Observation baseline (d)6873
Cycle length (d)83 ± 1443 ± 2
No. cycles observed0.81.7
FAP<10−3<10−9
Wind model input
Stellar mass (M)c1.131.17
Stellar radius (R)c1.752.67
Wind model parameterValue
Chromospheric base temperature, Tchr|$5 \times 10^{4}\, \mathrm{K}$|
Chromospheric base density, nchr|$2 \times 10^{17}\, \mathrm{m}^{-3}$|
Poynting flux-to-field ratio, |$\Pi _{\small {A}}/B$||$1.1 \times 10^{6} \, \mathrm{Watt\, m^{-2}\, T^{-1}}$|
Turbulence trans. corr. length, |$L_\perp \sqrt{B}$||$1.5 \times 10^{5}\, \mathrm{m\, T^{1/2}}$|
Coulomb logarithm, |$\Lambda _{\small {C}}$|20
a

vsin i value taken from Glebocki & Gnacinski (2005) since the χ2 minimization did not produce a well-defined minimum. bProt value of 9.2 d used in final maps. cStassun et al. (2019).

Table 3.

Parameters for β Vir (2017 April 3–24) and θ Dra ( 2017 April 6–24) derived from the maximum-entropy image reconstructions, wind modelling inputs, and magnetic cycle determination using GLS periodogram of S-index. All parameters are from this work except where marked. ZDI determined parameters use Stokes V data except where marked and include χ2 minimization and Ωeq versus dΩ grid search.

Parameterβ Virθ Dra
zdi determined parameters
Inclination (deg) (χ2 min)36 ± 237 ± 2
vsin i (km s−1) (χ2 min)6.1 ± 2.6a28.1 ± 0.2
Prot (d) (χ2 min)9.2 ± 0.2b2.88 ± 0.02
Prot (d) (grid search)9.1 ± 0.42.88 ± 0.02
dΩ (rad d−1) (χ2 min)0.21 ± 0.020.18 ± 0.02
dΩ (rad d−1) (grid search)0.23 ± 0.090.18 ± 0.03
Eq-pole lap time (d)|$29.9^{+3.1}_{-2.6}$||$34.9^{+4.4}_{-3.9}$|
S-index cycle
No. observations49105
Observation baseline (d)6873
Cycle length (d)83 ± 1443 ± 2
No. cycles observed0.81.7
FAP<10−3<10−9
Wind model input
Stellar mass (M)c1.131.17
Stellar radius (R)c1.752.67
Wind model parameterValue
Chromospheric base temperature, Tchr|$5 \times 10^{4}\, \mathrm{K}$|
Chromospheric base density, nchr|$2 \times 10^{17}\, \mathrm{m}^{-3}$|
Poynting flux-to-field ratio, |$\Pi _{\small {A}}/B$||$1.1 \times 10^{6} \, \mathrm{Watt\, m^{-2}\, T^{-1}}$|
Turbulence trans. corr. length, |$L_\perp \sqrt{B}$||$1.5 \times 10^{5}\, \mathrm{m\, T^{1/2}}$|
Coulomb logarithm, |$\Lambda _{\small {C}}$|20
Parameterβ Virθ Dra
zdi determined parameters
Inclination (deg) (χ2 min)36 ± 237 ± 2
vsin i (km s−1) (χ2 min)6.1 ± 2.6a28.1 ± 0.2
Prot (d) (χ2 min)9.2 ± 0.2b2.88 ± 0.02
Prot (d) (grid search)9.1 ± 0.42.88 ± 0.02
dΩ (rad d−1) (χ2 min)0.21 ± 0.020.18 ± 0.02
dΩ (rad d−1) (grid search)0.23 ± 0.090.18 ± 0.03
Eq-pole lap time (d)|$29.9^{+3.1}_{-2.6}$||$34.9^{+4.4}_{-3.9}$|
S-index cycle
No. observations49105
Observation baseline (d)6873
Cycle length (d)83 ± 1443 ± 2
No. cycles observed0.81.7
FAP<10−3<10−9
Wind model input
Stellar mass (M)c1.131.17
Stellar radius (R)c1.752.67
Wind model parameterValue
Chromospheric base temperature, Tchr|$5 \times 10^{4}\, \mathrm{K}$|
Chromospheric base density, nchr|$2 \times 10^{17}\, \mathrm{m}^{-3}$|
Poynting flux-to-field ratio, |$\Pi _{\small {A}}/B$||$1.1 \times 10^{6} \, \mathrm{Watt\, m^{-2}\, T^{-1}}$|
Turbulence trans. corr. length, |$L_\perp \sqrt{B}$||$1.5 \times 10^{5}\, \mathrm{m\, T^{1/2}}$|
Coulomb logarithm, |$\Lambda _{\small {C}}$|20
a

vsin i value taken from Glebocki & Gnacinski (2005) since the χ2 minimization did not produce a well-defined minimum. bProt value of 9.2 d used in final maps. cStassun et al. (2019).

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