Table 6. Open in new tab Overview of the...

Case	Φ₀	Φ_open	S_open	\|$i_{B_r=0}$\|	Φ_axi	\|$R_{\small {A}}$\|	\|$\|\boldsymbol{\boldsymbol {r}}_{\small {A}}\times \hat{z}\|$\|	\|$\dot{M}$\|	\|$\dot{J}$\|	\|$P^{\oplus }_{\small {W}}$\|	R_mag
β Vir 14–Feb 22	2.9 × 10⁺¹⁴	0.86	0.56	13.6	0.90	4.3	3.3	8.8 × 10⁺⁸	1.2 × 10⁺²³	1.0 × 10⁻⁹	11.1
β Vir 1– Mar 29	1.3 × 10⁺¹⁵	0.66	0.32	24.5	0.82	6.1	4.7	4.2 × 10⁺⁹	1.1 × 10⁺²⁴	4.9 × 10⁻⁹	8.6
β Vir 3– Apr 24	1.6 × 10⁺¹⁵	0.68	0.37	23.0	0.81	6.4	4.9	5.4 × 10⁺⁹	1.5 × 10⁺²⁴	6.1 × 10⁻⁹	8.3
θ Dra 6– Apr 24	7.7 × 10⁺¹⁵	0.81	0.32	30.2	0.69	6.5	5.0	2.5 × 10⁺¹⁰	4.2 × 10⁺²⁵	3.4 × 10⁻⁸	6.2
θ Dra May 15–Jun 18	3.8 × 10⁺¹⁵	0.90	0.35	82.1	0.34	4.6	3.6	2.0 × 10⁺¹⁰	1.8 × 10⁺²⁵	1.6 × 10⁻⁸	7.1

Case

Φ₀

Φ_open

S_open

|$i_{B_r=0}$|

Φ_axi

|$R_{\small {A}}$|

|$|\boldsymbol{\boldsymbol {r}}_{\small {A}}\times \hat{z}|$|

|$\dot{M}$|

|$\dot{J}$|

|$P^{\oplus }_{\small {W}}$|

R_mag

(Wb)

(Φ₀)

(S)

(^○)

(Φ_open)

(R_⋆)

|$\left(\mathrm{kg\, s}^{-1}\right)$|

|$\left(\mathrm{N\, m}\right)$|

(Pa)

(R_p)

β Vir 14–Feb 22

2.9 × 10⁺¹⁴

0.86

0.56

13.6

0.90

4.3

3.3

8.8 × 10⁺⁸

1.2 × 10⁺²³

1.0 × 10⁻⁹

11.1

β Vir 1– Mar 29

1.3 × 10⁺¹⁵

0.66

0.32

24.5

0.82

6.1

4.7

4.2 × 10⁺⁹

1.1 × 10⁺²⁴

4.9 × 10⁻⁹

8.6

β Vir 3– Apr 24

1.6 × 10⁺¹⁵

0.68

0.37

23.0

0.81

6.4

4.9

5.4 × 10⁺⁹

1.5 × 10⁺²⁴

6.1 × 10⁻⁹

8.3

θ Dra 6– Apr 24

7.7 × 10⁺¹⁵

0.81

0.32

30.2

0.69

6.5

5.0

2.5 × 10⁺¹⁰

4.2 × 10⁺²⁵

3.4 × 10⁻⁸

6.2

θ Dra May 15–Jun 18

3.8 × 10⁺¹⁵

0.90

0.35

82.1

0.34

4.6

3.6

2.0 × 10⁺¹⁰

1.8 × 10⁺²⁵

1.6 × 10⁻⁸

7.1

Case	Φ₀	Φ_open	S_open	\|$i_{B_r=0}$\|	Φ_axi	\|$R_{\small {A}}$\|	\|$\|\boldsymbol{\boldsymbol {r}}_{\small {A}}\times \hat{z}\|$\|	\|$\dot{M}$\|	\|$\dot{J}$\|	\|$P^{\oplus }_{\small {W}}$\|	R_mag
β Vir 14–Feb 22	2.9 × 10⁺¹⁴	0.86	0.56	13.6	0.90	4.3	3.3	8.8 × 10⁺⁸	1.2 × 10⁺²³	1.0 × 10⁻⁹	11.1
β Vir 1– Mar 29	1.3 × 10⁺¹⁵	0.66	0.32	24.5	0.82	6.1	4.7	4.2 × 10⁺⁹	1.1 × 10⁺²⁴	4.9 × 10⁻⁹	8.6
β Vir 3– Apr 24	1.6 × 10⁺¹⁵	0.68	0.37	23.0	0.81	6.4	4.9	5.4 × 10⁺⁹	1.5 × 10⁺²⁴	6.1 × 10⁻⁹	8.3
θ Dra 6– Apr 24	7.7 × 10⁺¹⁵	0.81	0.32	30.2	0.69	6.5	5.0	2.5 × 10⁺¹⁰	4.2 × 10⁺²⁵	3.4 × 10⁻⁸	6.2
θ Dra May 15–Jun 18	3.8 × 10⁺¹⁵	0.90	0.35	82.1	0.34	4.6	3.6	2.0 × 10⁺¹⁰	1.8 × 10⁺²⁵	1.6 × 10⁻⁸	7.1

Table 6.

Open in new tab

Overview of the wind aggregates quantities considered. Φ₀ is the absolute amount of magnetic flux exiting the stellar surface, Φ_open/Φ₀ is the fraction of Φ₀ contained in open field lines, S_open/S is the fraction of the stellar surface area where the field lines are open, |$i_{B_r=0}$| is the angle between the inner current sheet and the stellar axis of rotation; this corresponds to the dipole inclination for a dipolar magnetic field, Φ_axi/Φ_open is the axisymmetric open flux fraction, |$R_{\small {A}}$| is the distance to the Alfvén surface averaged over the stellar surface, |$|\boldsymbol{\boldsymbol {r}}_{\small {A}}\times \boldsymbol{\boldsymbol {\hat{z}}}|$| is the torque arm length at the Alfvén surface averaged over the stellar surface, |$\dot{M}$| is the stellar mass-loss, |$\dot{J}$| is the stellar angular momentum loss, |$P_{\small {W}}^{\oplus }$| is the average wind pressure for an Earth-like planet at 1 au, and R_mag/R_p is the magnetospheric stand-off distance in Earth radii for an Earth-like planet.

Case	Φ₀	Φ_open	S_open	\|$i_{B_r=0}$\|	Φ_axi	\|$R_{\small {A}}$\|	\|$\|\boldsymbol{\boldsymbol {r}}_{\small {A}}\times \hat{z}\|$\|	\|$\dot{M}$\|	\|$\dot{J}$\|	\|$P^{\oplus }_{\small {W}}$\|	R_mag
	(Wb)	(Φ₀)	(S)	(^○)	(Φ_open)	(R_⋆)	(R_⋆)	\|$\left(\mathrm{kg\, s}^{-1}\right)$\|	\|$\left(\mathrm{N\, m}\right)$\|	(Pa)	(R_p)
β Vir 14–Feb 22	2.9 × 10⁺¹⁴	0.86	0.56	13.6	0.90	4.3	3.3	8.8 × 10⁺⁸	1.2 × 10⁺²³	1.0 × 10⁻⁹	11.1
β Vir 1– Mar 29	1.3 × 10⁺¹⁵	0.66	0.32	24.5	0.82	6.1	4.7	4.2 × 10⁺⁹	1.1 × 10⁺²⁴	4.9 × 10⁻⁹	8.6
β Vir 3– Apr 24	1.6 × 10⁺¹⁵	0.68	0.37	23.0	0.81	6.4	4.9	5.4 × 10⁺⁹	1.5 × 10⁺²⁴	6.1 × 10⁻⁹	8.3
θ Dra 6– Apr 24	7.7 × 10⁺¹⁵	0.81	0.32	30.2	0.69	6.5	5.0	2.5 × 10⁺¹⁰	4.2 × 10⁺²⁵	3.4 × 10⁻⁸	6.2
θ Dra May 15–Jun 18	3.8 × 10⁺¹⁵	0.90	0.35	82.1	0.34	4.6	3.6	2.0 × 10⁺¹⁰	1.8 × 10⁺²⁵	1.6 × 10⁻⁸	7.1

Case	Φ₀	Φ_open	S_open	\|$i_{B_r=0}$\|	Φ_axi	\|$R_{\small {A}}$\|	\|$\|\boldsymbol{\boldsymbol {r}}_{\small {A}}\times \hat{z}\|$\|	\|$\dot{M}$\|	\|$\dot{J}$\|	\|$P^{\oplus }_{\small {W}}$\|	R_mag
	(Wb)	(Φ₀)	(S)	(^○)	(Φ_open)	(R_⋆)	(R_⋆)	\|$\left(\mathrm{kg\, s}^{-1}\right)$\|	\|$\left(\mathrm{N\, m}\right)$\|	(Pa)	(R_p)
β Vir 14–Feb 22	2.9 × 10⁺¹⁴	0.86	0.56	13.6	0.90	4.3	3.3	8.8 × 10⁺⁸	1.2 × 10⁺²³	1.0 × 10⁻⁹	11.1
β Vir 1– Mar 29	1.3 × 10⁺¹⁵	0.66	0.32	24.5	0.82	6.1	4.7	4.2 × 10⁺⁹	1.1 × 10⁺²⁴	4.9 × 10⁻⁹	8.6
β Vir 3– Apr 24	1.6 × 10⁺¹⁵	0.68	0.37	23.0	0.81	6.4	4.9	5.4 × 10⁺⁹	1.5 × 10⁺²⁴	6.1 × 10⁻⁹	8.3
θ Dra 6– Apr 24	7.7 × 10⁺¹⁵	0.81	0.32	30.2	0.69	6.5	5.0	2.5 × 10⁺¹⁰	4.2 × 10⁺²⁵	3.4 × 10⁻⁸	6.2
θ Dra May 15–Jun 18	3.8 × 10⁺¹⁵	0.90	0.35	82.1	0.34	4.6	3.6	2.0 × 10⁺¹⁰	1.8 × 10⁺²⁵	1.6 × 10⁻⁸	7.1

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