Table 3.
Minimum orbital decay time τDF, min of GC3 and GC4 in the LC and WC models for the Fornax dSph, found in the region V > c− and δρ/ρ0 < 1 (for which perturbation theory is properly valid), with the CDM result given by Eq. (87) for comparison.
GC label and model | τDF, min | τDF, CDM | V > c− | δρ/ρ0 < 1 | Equation (82) |
---|---|---|---|---|---|
[Myr] | [Myr] | ||||
GC3 & LC | 122 | 883 | g/m2 < 1.8 × 10−4 | g/m2 > 1.2 × 10−6 | g/m2 < 1.0 × 10−3 |
GC3 & WC | 197 | 1327 | g/m2 < 2.5 × 10−4 | g/m2 > 2.7 × 10−6 | g/m2 < 2.0 × 10−4 |
GC4 & LC | 67 | 515 | g/m2 < 5.4 × 10−5 | g/m2 > 4.0 × 10−7 | g/m2 < 1.0 × 10−3 |
GC4 & WC | 97 | 635 | g/m2 < 2.5 × 10−4 | g/m2 > 5.5 × 10−7 | g/m2 < 2.0 × 10−4 |
Notes. The listed values are essentially constant for all temperatures for which the assumptions made are valid, T/Tc ≲ 0.1. For V < c−, perturbation theory instead predicts the dynamical friction to quickly vanish, causing τDF to become infinite. The criterion on g/m2 due to the hydrostatic core radius, Eq. (82), is also listed. The values for g/m2 are given in units of eV−4.
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