Table A.1
Structure parameters of OCs.
| T22 (2D) | 2D this work | 3D this work | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Cluster | Rc (pc) | Rt (pc) | k (pc−2) | Rc (pc) | Rt (pc) | c (pc−2) | Δρ2D (c) | k (pc−3) | Rc (pc) | Rt (pc) | c (10−5 pc−3) | Δρ3D (c) |
| Melotte 20 | 3.64 ± 0.34 | 22.10 ± 1.48 | 11.26 ± 0.91 | 3.27 ± 0.28 | 25.99 ± 1.74 | 0.012 ± 0.001 | 1.194 | 1.34 ± 0.20 | 2.73 ± 0.29 | 24.38 ± 0.82 | 10.859 ± 1.399 | 6.038 |
| Melotte 22 | 1.91 ± 0.14 | 19.50 ± 0.92 | 50.96 ± 3.51 | 1.86 ± 0.11 | 19.25 ± 0.75 | 0.007 ± 0.001 | 1.282 | 14.50 ± 2.62 | 1.06 ± 0.11 | 20.41 ± 0.47 | 4.925 ± 0.841 | 12.289 |
| Melotte 111 | 2.04 ± 0.62 | 19.02 ± 5.03 | 0.87 ± 0.18 | 7.72 ± 1.90 | 29.95 ± 5.79 | 0.011 ± 0.001 | −0.051 | 1.01 ± 0.46 | 1.31 ± 0.36 | 22.11 ± 1.84 | 12.349 ± 1.412 | 2.973 |
| Blanco 1 | 2.28 ± 0.22 | 13.17 ± 1.02 | 16.56 ± 1.83 | 2.00 ± 0.23 | 16.54 ± 1.50 | 0.016 ± 0.001 | 0.612 | 2.33 ± 0.48 | 1.72 ± 0.24 | 18.37 ± 0.88 | 1.384 ± 0.326 | 99.018 |
| NGC 2632 | 2.76 ± 0.29 | 15.68 ± 0.76 | 26.32 ± 1.80 | 2.63 ± 0.21 | 16.22 ± 0.73 | 0.008 ± 0.001 | 1.252 | 4.97 ± 0.73 | 1.80 ± 0.19 | 16.74 ± 0.46 | 6.967 ± 1.017 | 24.324 |
| Roslund 6 | 4.28 ± 0.63 | 32.11 ± 5.32 | 2.36 ± 0.33 | 4.17 ± 0.61 | 37.55 ± 5.43 | 0.007 ± 0.001 | 0.354 | 0.22 ± 0.05 | 3.58 ± 0.64 | 32.30 ± 1.86 | 5.737 ± 1.083 | 4.204 |
| NGC 7092 | 1.64 ± 0.24 | 59.41 ± 8.53 | 3.63 ± 0.78 | 2.22 ± 0.38 | 42.58 ± 8.59 | 0.004 ± 0.001 | 0.083 | 1.18 ± 0.79 | 0.99 ± 0.36 | 42.41 ± 3.08 | 2.405 ± 0.612 | 0.857 |
| NGC 1662 | 1.56 ± 0.18 | 38.32 ± 8.27 | 6.37 ± 1.41 | 1.77 ± 0.30 | 38.88 ± 7.60 | 0.008 ± 0.001 | 0.202 | 0.42 ± 0.19 | 1.61 ± 0.40 | 58.12 ± 3.95 | 1.765 ± 0.513 | 0.701 |
| IC 4756 | 2.59 ± 0.28 | 30.82 ± 3.44 | 9.07 ± 1.06 | 2.55 ± 0.27 | 30.08 ± 2.84 | 0.008 ± 0.001 | −0.065 | 0.75 ± 0.24 | 1.64 ± 0.29 | 52.92 ± 2.43 | 0.812 ± 0.151 | 7.115 |
| NGC 752 | 1.85 ± 0.20 | 28.17 ± 7.46 | 6.86 ± 1.13 | 1.97 ± 0.28 | 29.23 ± 4.85 | 0.012 ± 0.001 | −0.008 | 0.41 ± 0.20 | 1.52 ± 0.40 | 71.02 ± 4.09 | 0.098 ± 0.031 | 10.942 |
Notes. Column “Cluster” lists the OC names. All the other columns are parameters of the King model. k is a proportionality constant related to the center density of the cluster, Rc is the core radius of the cluster, and Rt is the tidal radius of the cluster. c is a constant with units consistent with k. Δρ2D represent the discrepancy between the observed 2D number density and the theoretical 2D number density at the tidal radius. Δρ3D represent the discrepancy between the observed 3D number density and the theoretical 3D number density at the tidal radius.
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