Table 3.
Rejected MACHO masses mM for different IMFs and cluster ages at different MACHO fractions fM, based on the velocity distributions in Eridanus 2.
| log10(fM) | log10(mM/M⊙) |
|
|---|---|---|
| (αreject > 0.68) | (αreject > 0.95) | |
| Stand. Salpeter/stand. Kroupa/modif. Kroupa, fiducial age | ||
| 0 | >0.88 | >1.64 |
| −1 | >1.98 | >2.80 |
| −2 | >3.12 | >4.04 |
| −3 | >4.34 | – |
| Modif. Salpeter, fiducial age | ||
| 0 | >0.90 | >1.68 |
| −1 | >2.00 | >2.82−2.84 (a) |
| −2 | >3.14 | >4.08 |
| −3 | >4.36 | – |
| Stand. Salpeter/stand. Kroupa/modif. Kroupa, lowest age | ||
| 0 | >1.00 | >1.76 |
| −1 | >2.10 | >2.92 |
| −2 | >3.24 | >4.16−4.18 (a) |
| −3 | >4.48 | – |
| Modif. Salpeter, lowest age | ||
| 0 | >1.02 | >1.78−1.80 (a) |
| −1 | >2.12 | >2.94 |
| −2 | >3.26 | >4.20−4.22 (a) |
| −3 | >4.50 | – |
Notes. The standard Salpeter and Kroupa IMFs, as well as a Kroupa IMF modified to match the observed IMF in two other ultra-faint dwarf galaxies, provide the same (fiducial) results. Modifying the Salpeter IMF in the same way leads to slightly weaker constraints. The fiducial cluster age is 8 Gyr; the lowest estimate of the cluster age, 7 Gyr, gives slightly weaker constraints. The constraints are given for two values of αreject, the confidence level for the model to be rejected by the data.
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