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Table E.3
Summary of the laws corresponding to Fig. 1.
| Variable | Law | Section |
|---|---|---|
| Lower limit in activity level | S= 0.144 for B–V < 0.94 | 2.3.1 |
| S = 0.0269231 × (B–V) + 0.118892 for B–V > 0.94 | ||
| Upper limit in activity level | Log  =−0.375 × (B–V) − 4.4 |
2.3.2 |
| Prot (days) | Prot = (R0 + δ) × τc | 2.4 |
with R0 = 0.808−2.966 × (Log  + 4.52) |
||
| and δ = [−0.2,0,0.2] | ||
| Differential rotation | Log(α) = p0(Teff) + p1(Teff) × Log(Prot) (a) | 2.5 |
| Pcyc (days) | Pcyc = (Prot × 10y) | 2.6.1 |
| with y = 0.84 × Log(1/Prot) + 3.14 + δ | ||
| and δ = [−0.3,0,0.3] | ||
| Acyc (limits from Fig. 7) | 0.727 × (B–V)-0.292 if B–V < 0.851, 0.33 otherwise | 2.6.7 |
| 0.28×(B–V) −0.196 | ||
0.342 × Log  +1.703 |
||
| Attenuation of the convective | ΔV = −0.1718 × (p0(Teff) + p1(Teff) × Log  |
2.7 |
| blueshift (m s−1) | with p0 = 198557.04-118.86301 ×Teff + 0.023348413 × –1.4980577e-06  |
|
and p1 = 46335.574-27.529228  3.4108808e-07 × |
||
| ΔTspot (upper limit, K) | 0.75 ×Teff − 2250 | 2.8 |
| ΔTspot (lower limit, K) | 605 | 2.8 |
| Plage contrast | C(μ,500 G,Teff) =  (500 G,Teff) × μi (b) |
2.9 |
C(μ,100 G,Teff) =  (100 G,Teff) × μi |
||
Notes. (a) See Sect. 2.5 for more details. (b)The coefficients ci (500 G, Teff) and ci (100 G, Teff) have been derived from Norris (2018) for M 0, K 0, and G 2 stars and were then interpolated or extrapolated for each of our spectral types (see Sect. 2.9 for more details).
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