Table 3.
Predictions of tidal scenario for (non-magnetic) close binaries described in Table 2.
System | σ* (1/year) | τt (years) | τt/τΩ | τt/τMC | ||||
---|---|---|---|---|---|---|---|---|
Body 1 | Body 2 | Body 1 | Body 2 | Body 1 | Body 2 | Body 1 | Body 2 | |
HD 23642 | 1.03 × 10−2 | 5.07 × 10−3 | 1.58 × 107 | 6.88 × 107 | 1.46 × 10−2 | 6.44 × 10−2 | 1.5 × 10+0 | 6.4 × 10+0 |
HD 24133 | 1.46 × 10+0 | 6.11 × 10−1 | 2.26 × 103 | 1.53 × 104 | 6.26 × 10−6 | 4.48 × 10−5 | 6.3 × 10−4 | 4.5 × 10−3 |
HD 24909 | 9.25 × 10−2 | 9.26 × 10−2 | 2.61 × 105 | 2.61 × 105 | 3.33 × 10−4 | 3.32 × 10−4 | 3.3 × 10−2 | 3.3 × 10−2 |
HD 25638 | 1.12 × 10+0 | 2.03 × 10−1 | 8.91 × 102 | 3.60 × 104 | 6.79 × 10−7 | 2.99 × 10−5 | 6.8 × 10−5 | 3.0 × 10−3 |
HD 25833 | 4.78 × 10−2 | 5.83 × 10−1 | 9.68 × 105 | 1.02 × 104 | 1.11 × 10−3 | 1.37 × 10−5 | 1.1 × 10−1 | 1.4 × 10−3 |
HD 32964 | 7.89 × 10−4 | 4.61 × 10−4 | 1.22 × 109 | 3.61 × 109 | 5.01 × 10−1 | 1.49 × 10+0 | 5.0 × 10+1 | 1.5 × 10+2 |
HD 34364 | 1.14 × 10−2 | 7.12 × 10−3 | 9.53 × 106 | 2.25 × 107 | 5.60 × 10−3 | 1.28 × 10−2 | 5.6 × 10−1 | 1.3 × 10+0 |
HD 36486 | 2.20 × 10−1 | 4.32 × 10+0 | 1.18 × 104 | 3.22 × 102 | 4.35 × 10−6 | 3.47 × 10−7 | 4.3 × 10−4 | 3.5 × 10−5 |
HD 150136 | 5.98 × 10−1 | 7.53 × 10−2 | 3.49 × 103 | 7.37 × 102 | 2.76 × 10−6 | 6.26 × 10−7 | 2.8 × 10−4 | 6.3 × 10−5 |
Notes. We have taken as representative value for the dimensional Brunt–Väisälä frequency N0 = 10−3 s−1 (e.g. Rieutord 2006). The equatorial ellipticity β0 is given by expression (47). The dimensional growth rate σ* is given by formula (48). The timescale of turbulent Joule diffusion τt is given by formula (49) with Kα = 30. The laminar Ohmic diffusive timescale is τΩ ∼ (Ωs Ek/Pm)−1 (in dimensional units of Ωs) with Ek/Pm ∼ 10−12. The dynamical timescale associated with the propagation of (slow) Magneto-Coriolis waves is τMC ∼ (Ωs Le2)−1 (Braithwaite & Cantiello 2012), with Le ∼ 10−5.
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