Table 1
Parameters for the example objects.
| Constant | Earth-Moon | Jupiter-Io | V636 Cen. |
|
|
|||
| Rc(m) | 6.37 × 106a | 6.99 × 107a | 7.08 × 108b |
| Rco(m) | 3.47 × 106c | 5.71 × 107c | ... |
| mc(kg) | 5.97 × 1024c | 1.90 × 1027c | 2.09 × 1030b |
| acp(m) | 3.84 × 108c | 4.22 × 108c | 9.57 × 109d |
| mp(kg) | 7.35 × 1022c | 8.91 × 1022c | 1.70 × 1030b |
| L(W) | ... | 3.34 × 1017e | 4.31 × 1026b |
| νm(m2s-1) | 1.4 × 10-6f | 3 × 10-7e | 10-4g |
| Ωspin(day-1) | 2π | 2π/0.41h | 2π/3.96 i |
| ΩP(day-1) | 2π/27.32 | 2π/1.77h | 2π/4.28b |
| Ω | 0.0380 | 0.305 | 12.40 |
| ϵ | 2.8 × 10-8 | 1.1 × 10-7 | 1.6 × 10-4 |
| E m | 1.6 × 10-15 | 5.2 × 10-19 | 1.1 × 10-17 |
| β | ... | 1.5 | 18 |
| s e | ... | 2 | 1 |
| E turb | ... | 1.6 × 10-13 | 6.3 × 10-5 |
| σ ud | 1.6 × 10-8 | 5.1 × 10-8 | 4.4 × 10-5 |
| Dm n.s. | 4.2 × 10-8 | 9.4 × 10-10 | 4.4 × 10-8 |
| Dm f.s. | ... | 2.6 × 10-13 | 4.1 × 10-14 |
| Dturb n.s. | ... | 5.3 × 10-7 | 0.11 |
| Dturb f.s. | ... | 8.3 × 10-8 | 0.24 |
Notes. νm is the molecular viscosity, Em the Ekman number based only on the molecular viscosity, and Eturb the Ekman number based on the turbulent viscosity (the molecular viscosity is negligible in comparison to the turbulent one in these examples). Dm and Dturb are damping constants based on the molecular viscosity and the turbulent viscosity; n.s. and f.s. stand for no slip and free slip boundary conditions.
Reference.
calculated according to Kepler’s third law, with values given in Clausen et al. (2009);
calculated according to v = Ωspin·Rc with v the equatorial velocity given in Clausen et al. (2009).
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