Table 2.

Aggregate magnetic quantities for the unscaled |$B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| and scaled |$5B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| magnetic fields considered in this work. The ‘Case’ column gives the star’s case name, which is prepended by ‘5 ×’ for models in the |$5B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| series. An identifying symbol as in Table 1 for models in the |$B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| series and in the shape of a star for models in the |$5B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| series is also provided for each model, and used throughout this paper. In the following columns |Br| and max |Br| are the mean and maximal unsigned radial magnetic surface field strength, calculated from the magnetograms in Fig. 1. |$|\boldsymbol{B}|$| is the average surface magnetic field strength of the final, steady-state wind models in Fig. 2. |$\Phi = 4\pi R_{\mathchoice{}{}{\scriptscriptstyle }{}\bigstar }^2 |B_r|$| is the unsigned magnetic flux at the stellar surface. The ‘dip.’, ‘quad.’ ‘oct.’, and ‘16 + ’ columns give the proportion of magnetic energy associated with, respectively, the dipolar (ℓ = 1), quadrupolar (ℓ = 2), octupolar (ℓ = 3), and higher order (ℓ ≥ 4) degrees of the spherical harmonics coefficients αm in equation (1). The ℓ0.90 and ℓ0.99 columns give the magnetogram degree for which 90 per cent and 99 per cent of the magnetic energy is contained in spherical harmonics of degree less than or equal to ℓ.

Case|Br|max |Br||$|\boldsymbol{B}|$|ΦDip.Quad.Oct.16 +.90.99
GGGWbper centper centper centper cent
graphic HII 29651.4221.973.92.8 × 101668.78.49.513.549
graphic HII 7399.945.114.41.4 × 101624.714.820.440.169
graphic PELS 03117.0105.125.11.1 × 101610.49.020.460.268
graphic BD-07 238894.2536.4136.93.5 × 101643.84.53.748.01215
graphic HD 656915.341.721.55.4 × 101576.319.53.21.024
graphic HIP 1027210.129.913.83.9 × 101582.611.22.53.825
graphic HIP 7676858.6222.082.52.6 × 101683.71.83.610.847
graphic LO Peg88.6588.6131.32.4 × 101636.08.47.448.31015
graphic PW And70.7448.4100.82.7 × 101643.57.65.743.2812
graphic TYC 048618.759.327.75.6 × 101538.130.021.310.746
graphic TYC 516448.5128.367.92.4 × 101685.64.52.67.326
graphic BD-16 35132.8163.747.51.9 × 101657.821.48.012.946
graphic HIP 1254533.4135.547.31.8 × 101656.37.68.627.5610
graphic TYC 634930.1137.043.53.5 × 101661.08.410.719.956
graphic TYC 687864.9404.094.12.3 × 101653.312.613.620.547
graphic 5 × HII 296257.01109.4370.21.4 × 101768.88.39.513.449
graphic 5 × HII 73949.6225.572.07.1 × 101625.014.720.439.969
graphic 5 × PELS 03185.1525.3126.05.7 × 101610.69.020.460.168
graphic 5 × BD-07 2388470.72681.9685.61.8 × 101743.94.53.747.91215
graphic 5 × HD656976.3208.4107.72.7 × 101676.419.43.21.024
graphic 5 × HIP 1027250.3149.369.22.0 × 101682.711.12.53.725
graphic 5 × HIP 76768293.21110.2413.61.3 × 101783.81.83.610.847
graphic 5 × LO Peg442.92942.8657.21.2 × 101736.18.37.448.21015
graphic 5 × PW And353.32241.9504.91.3 × 101743.67.65.743.2812
graphic 5 × TYC 048693.6296.6138.72.8 × 101638.329.921.210.646
graphic 5 × TYC 5164242.4641.5340.61.2 × 101785.74.52.67.326
graphic 5 × BD-16 351163.8818.4238.29.3 × 101657.921.47.912.846
graphic 5 × HIP 12545167.2677.5237.38.9 × 101656.57.58.627.4610
graphic 5 × TYC 6349150.3685.1218.01.8 × 101761.28.410.719.856
graphic 5 × TYC 6878324.72019.9471.31.1 × 101753.312.613.620.547
Case|Br|max |Br||$|\boldsymbol{B}|$|ΦDip.Quad.Oct.16 +.90.99
GGGWbper centper centper centper cent
graphic HII 29651.4221.973.92.8 × 101668.78.49.513.549
graphic HII 7399.945.114.41.4 × 101624.714.820.440.169
graphic PELS 03117.0105.125.11.1 × 101610.49.020.460.268
graphic BD-07 238894.2536.4136.93.5 × 101643.84.53.748.01215
graphic HD 656915.341.721.55.4 × 101576.319.53.21.024
graphic HIP 1027210.129.913.83.9 × 101582.611.22.53.825
graphic HIP 7676858.6222.082.52.6 × 101683.71.83.610.847
graphic LO Peg88.6588.6131.32.4 × 101636.08.47.448.31015
graphic PW And70.7448.4100.82.7 × 101643.57.65.743.2812
graphic TYC 048618.759.327.75.6 × 101538.130.021.310.746
graphic TYC 516448.5128.367.92.4 × 101685.64.52.67.326
graphic BD-16 35132.8163.747.51.9 × 101657.821.48.012.946
graphic HIP 1254533.4135.547.31.8 × 101656.37.68.627.5610
graphic TYC 634930.1137.043.53.5 × 101661.08.410.719.956
graphic TYC 687864.9404.094.12.3 × 101653.312.613.620.547
graphic 5 × HII 296257.01109.4370.21.4 × 101768.88.39.513.449
graphic 5 × HII 73949.6225.572.07.1 × 101625.014.720.439.969
graphic 5 × PELS 03185.1525.3126.05.7 × 101610.69.020.460.168
graphic 5 × BD-07 2388470.72681.9685.61.8 × 101743.94.53.747.91215
graphic 5 × HD656976.3208.4107.72.7 × 101676.419.43.21.024
graphic 5 × HIP 1027250.3149.369.22.0 × 101682.711.12.53.725
graphic 5 × HIP 76768293.21110.2413.61.3 × 101783.81.83.610.847
graphic 5 × LO Peg442.92942.8657.21.2 × 101736.18.37.448.21015
graphic 5 × PW And353.32241.9504.91.3 × 101743.67.65.743.2812
graphic 5 × TYC 048693.6296.6138.72.8 × 101638.329.921.210.646
graphic 5 × TYC 5164242.4641.5340.61.2 × 101785.74.52.67.326
graphic 5 × BD-16 351163.8818.4238.29.3 × 101657.921.47.912.846
graphic 5 × HIP 12545167.2677.5237.38.9 × 101656.57.58.627.4610
graphic 5 × TYC 6349150.3685.1218.01.8 × 101761.28.410.719.856
graphic 5 × TYC 6878324.72019.9471.31.1 × 101753.312.613.620.547
Table 2.

Aggregate magnetic quantities for the unscaled |$B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| and scaled |$5B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| magnetic fields considered in this work. The ‘Case’ column gives the star’s case name, which is prepended by ‘5 ×’ for models in the |$5B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| series. An identifying symbol as in Table 1 for models in the |$B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| series and in the shape of a star for models in the |$5B_{\mathchoice{}{}{\scriptscriptstyle }{}\mathrm{ZDI}}$| series is also provided for each model, and used throughout this paper. In the following columns |Br| and max |Br| are the mean and maximal unsigned radial magnetic surface field strength, calculated from the magnetograms in Fig. 1. |$|\boldsymbol{B}|$| is the average surface magnetic field strength of the final, steady-state wind models in Fig. 2. |$\Phi = 4\pi R_{\mathchoice{}{}{\scriptscriptstyle }{}\bigstar }^2 |B_r|$| is the unsigned magnetic flux at the stellar surface. The ‘dip.’, ‘quad.’ ‘oct.’, and ‘16 + ’ columns give the proportion of magnetic energy associated with, respectively, the dipolar (ℓ = 1), quadrupolar (ℓ = 2), octupolar (ℓ = 3), and higher order (ℓ ≥ 4) degrees of the spherical harmonics coefficients αm in equation (1). The ℓ0.90 and ℓ0.99 columns give the magnetogram degree for which 90 per cent and 99 per cent of the magnetic energy is contained in spherical harmonics of degree less than or equal to ℓ.

Case|Br|max |Br||$|\boldsymbol{B}|$|ΦDip.Quad.Oct.16 +.90.99
GGGWbper centper centper centper cent
graphic HII 29651.4221.973.92.8 × 101668.78.49.513.549
graphic HII 7399.945.114.41.4 × 101624.714.820.440.169
graphic PELS 03117.0105.125.11.1 × 101610.49.020.460.268
graphic BD-07 238894.2536.4136.93.5 × 101643.84.53.748.01215
graphic HD 656915.341.721.55.4 × 101576.319.53.21.024
graphic HIP 1027210.129.913.83.9 × 101582.611.22.53.825
graphic HIP 7676858.6222.082.52.6 × 101683.71.83.610.847
graphic LO Peg88.6588.6131.32.4 × 101636.08.47.448.31015
graphic PW And70.7448.4100.82.7 × 101643.57.65.743.2812
graphic TYC 048618.759.327.75.6 × 101538.130.021.310.746
graphic TYC 516448.5128.367.92.4 × 101685.64.52.67.326
graphic BD-16 35132.8163.747.51.9 × 101657.821.48.012.946
graphic HIP 1254533.4135.547.31.8 × 101656.37.68.627.5610
graphic TYC 634930.1137.043.53.5 × 101661.08.410.719.956
graphic TYC 687864.9404.094.12.3 × 101653.312.613.620.547
graphic 5 × HII 296257.01109.4370.21.4 × 101768.88.39.513.449
graphic 5 × HII 73949.6225.572.07.1 × 101625.014.720.439.969
graphic 5 × PELS 03185.1525.3126.05.7 × 101610.69.020.460.168
graphic 5 × BD-07 2388470.72681.9685.61.8 × 101743.94.53.747.91215
graphic 5 × HD656976.3208.4107.72.7 × 101676.419.43.21.024
graphic 5 × HIP 1027250.3149.369.22.0 × 101682.711.12.53.725
graphic 5 × HIP 76768293.21110.2413.61.3 × 101783.81.83.610.847
graphic 5 × LO Peg442.92942.8657.21.2 × 101736.18.37.448.21015
graphic 5 × PW And353.32241.9504.91.3 × 101743.67.65.743.2812
graphic 5 × TYC 048693.6296.6138.72.8 × 101638.329.921.210.646
graphic 5 × TYC 5164242.4641.5340.61.2 × 101785.74.52.67.326
graphic 5 × BD-16 351163.8818.4238.29.3 × 101657.921.47.912.846
graphic 5 × HIP 12545167.2677.5237.38.9 × 101656.57.58.627.4610
graphic 5 × TYC 6349150.3685.1218.01.8 × 101761.28.410.719.856
graphic 5 × TYC 6878324.72019.9471.31.1 × 101753.312.613.620.547
Case|Br|max |Br||$|\boldsymbol{B}|$|ΦDip.Quad.Oct.16 +.90.99
GGGWbper centper centper centper cent
graphic HII 29651.4221.973.92.8 × 101668.78.49.513.549
graphic HII 7399.945.114.41.4 × 101624.714.820.440.169
graphic PELS 03117.0105.125.11.1 × 101610.49.020.460.268
graphic BD-07 238894.2536.4136.93.5 × 101643.84.53.748.01215
graphic HD 656915.341.721.55.4 × 101576.319.53.21.024
graphic HIP 1027210.129.913.83.9 × 101582.611.22.53.825
graphic HIP 7676858.6222.082.52.6 × 101683.71.83.610.847
graphic LO Peg88.6588.6131.32.4 × 101636.08.47.448.31015
graphic PW And70.7448.4100.82.7 × 101643.57.65.743.2812
graphic TYC 048618.759.327.75.6 × 101538.130.021.310.746
graphic TYC 516448.5128.367.92.4 × 101685.64.52.67.326
graphic BD-16 35132.8163.747.51.9 × 101657.821.48.012.946
graphic HIP 1254533.4135.547.31.8 × 101656.37.68.627.5610
graphic TYC 634930.1137.043.53.5 × 101661.08.410.719.956
graphic TYC 687864.9404.094.12.3 × 101653.312.613.620.547
graphic 5 × HII 296257.01109.4370.21.4 × 101768.88.39.513.449
graphic 5 × HII 73949.6225.572.07.1 × 101625.014.720.439.969
graphic 5 × PELS 03185.1525.3126.05.7 × 101610.69.020.460.168
graphic 5 × BD-07 2388470.72681.9685.61.8 × 101743.94.53.747.91215
graphic 5 × HD656976.3208.4107.72.7 × 101676.419.43.21.024
graphic 5 × HIP 1027250.3149.369.22.0 × 101682.711.12.53.725
graphic 5 × HIP 76768293.21110.2413.61.3 × 101783.81.83.610.847
graphic 5 × LO Peg442.92942.8657.21.2 × 101736.18.37.448.21015
graphic 5 × PW And353.32241.9504.91.3 × 101743.67.65.743.2812
graphic 5 × TYC 048693.6296.6138.72.8 × 101638.329.921.210.646
graphic 5 × TYC 5164242.4641.5340.61.2 × 101785.74.52.67.326
graphic 5 × BD-16 351163.8818.4238.29.3 × 101657.921.47.912.846
graphic 5 × HIP 12545167.2677.5237.38.9 × 101656.57.58.627.4610
graphic 5 × TYC 6349150.3685.1218.01.8 × 101761.28.410.719.856
graphic 5 × TYC 6878324.72019.9471.31.1 × 101753.312.613.620.547
Close
This Feature Is Available To Subscribers Only

Sign In or Create an Account

Close

This PDF is available to Subscribers Only

View Article Abstract & Purchase Options

For full access to this pdf, sign in to an existing account, or purchase an annual subscription.

Close