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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 BV < 0.94 2.3.1
S = 0.0269231 × (BV) + 0.118892 for BV > 0.94
Upper limit in activity level Log =−0.375 × (BV) − 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 × (BV)-0.292 if BV < 0.851, 0.33 otherwise 2.6.7
0.28×(BV) −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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