Table 2
Main results of the N-body simulations.
Run | t |
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ΔRV | f A |
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Δy | Δxz | P KS | |
(Myr) | (km s-1) | (km s-1) | (km s-1) | (km s-1) | (km s-1) | (km s-1) | (pc) | (pc) | ||||
|
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Run 1 | 2.7 | 0.46 | 1.93 | 1.95 | 0.35 | 0.54 | 1.29 | 2.48 | 1.77 | 0.01 | 0.72 | |
Run 1 | 4.8 | 0.43 | 1.84 | 1.93 | 0.37 | 0.50 | 1.25 | 2.42 | 7.22 | 0.16 | 0.84 | |
Run 1 | 6.9 | 0.38 | 1.85 | 1.82 | 0.35 | 0.49 | 1.23 | 2.41 | 12.37 | 0.55 | 0.84 | |
Run 2 | 2.7 | 0.49 | 1.21 | 2.66 | 0.55 | 0.57 | 1.37 | 2.51 | 1.41 | 0.45 | 0.86 | |
Run 2 | 4.8 | 0.42 | 1.66 | 2.00 | 0.40 | 0.53 | 1.33 | 2.45 | 6.90 | 0.12 | 0.84 | |
Run 2 | 6.9 | 0.47 | 1.68 | 2.02 | 0.42 | 0.50 | 1.32 | 2.42 | 12.00 | 0.06 | 0.84 | |
Run 3 | 2.6 | 0.57 | 1.98 | 1.63 | 0.32 | 0.66 | 1.23 | 2.46 | 1.92 | 0.12 | 0.53 | |
Run 3 | 4.8 | 0.50 | 1.90 | 1.67 | 0.31 | 0.61 | 1.21 | 2.41 | 6.97 | 0.58 | 0.56 | |
Run 3 | 6.9 | 0.51 | 1.85 | 1.67 | 0.33 | 0.59 | 1.20 | 2.39 | 12.09 | 0.82 | 0.68 | |
Run 4 | 2.7 | 1.04 (∗) | 1.38 | 2.66 | 0.53 | 0.95 | 1.30 | 2.55 | 1.71 | 0.06 | 0.09 | |
Run 4 | 4.8 | 0.95 (∗) | 1.33 | 2.58 | 0.51 | 0.92 | 1.27 | 2.51 | 6.94 | 0.06 | 0.11 | |
Run 4 | 6.9 | 0.94 (∗) | 1.30 | 2.57 | 0.51 | 0.91 | 1.26 | 2.50 | 12.51 | 0.46 | 0.12 | |
Run 5 | 2.7 | 0.56 | 0.55 | 2.70 | 0.58 | 0.52 | 0.73 | 2.58 | 1.91 | 0.04 | 0.24 | |
Run 5 | 4.8 | 0.51 | 0.59 | 2.32 | 0.55 | 0.51 | 0.69 | 2.24 | 7.08 | 0.25 | 0.54 | |
Run 5 | 6.9 | 0.50 | 0.51 | 2.22 | 0.56 | 0.49 | 0.68 | 2.15 | 11.54 | 1.36 | 0.49 | |
Run 6 | 2.7 | 0.58 | 0.69 | 2.74 | 0.56 | 0.54 | 0.73 | 2.65 | 1.80 | 0.05 | 0.27 | |
Run 6 | 4.8 | 0.52 | 0.67 | 2.57 | 0.56 | 0.50 | 0.69 | 2.50 | 7.35 | 0.10 | 0.37 | |
Run 6 | 6.9 | 0.51 | 0.61 | 2.51 | 0.56 | 0.55 | 0.69 | 2.46 | 12.60 | 0.16 | 0.40 | |
Run 7 | 2.7 | 0.53 | 2.79 (∗) | 2.21 | 0.42 | 0.55 | 2.20 | 2.80 | 1.62 | 0.03 | 0.06 | |
Run 7 | 4.8 | 0.47 | 2.78 (∗) | 2.21 | 0.43 | 0.50 | 2.18 | 2.80 | 7.01 | 0.10 | 0.09 | |
Run 7 | 6.9 | 0.44 | 2.79 (∗) | 2.11 | 0.42 | 0.53 | 2.18 | 2.78 | 11.43 | 0.72 | 0.13 | |
Run 8 | 2.7 | 0.49 | 1.65 | 1.25 | 0.36 | 0.55 | 1.27 | 1.67 | –0.50 | 0.01 | 0.72 | |
Run 8 | 4.8 | 0.47 | 1.62 | 1.20 | 0.38 | 0.50 | 1.21 | 1.64 | 3.27 | 0.19 | 0.70 | |
Run 8 | 6.9 | 0.43 | 1.57 | 1.18 | 0.38 | 0.46 | 1.19 | 1.61 | 6.39 | 0.5 | 0.40 | |
Run 9 | 2.7 | 0.46 | 1.80 | 1.62 | 0.34 | 0.55 | 1.28 | 2.12 | 0.77 | 0.01 | 0.79 | |
Run 9 | 4.8 | 0.44 | 1.70 | 1.62 | 0.36 | 0.50 | 1.22 | 2.07 | 5.48 | 0.16 | 0.76 | |
Run 9 | 6.9 | 0.41 | 1.72 | 1.53 | 0.37 | 0.46 | 1.21 | 2.04 | 9.57 | 0.53 | 0.84 | |
Run 10 | 2.7 | 0.58 | 1.35 | 3.04 | 0.52 | 0.54 | 1.33 | 3.01 | 3.23 | 0.03 | 0.23 | |
Run 10 | 4.8 | 0.55 | 1.27 | 2.99 | 0.54 | 0.50 | 1.30 | 2.95 | 9.77 | 0.15 | 0.35 | |
Run 10 | 6.9 | 0.49 | 1.26 | 2.93 | 0.52 | 0.48 | 1.28 | 2.93 | 15.58 | 0.50 | 0.33 | |
Run 11 | 2.7 | 0.57 | 1.37 | 3.49 | 0.52 | 0.55 | 1.39 | 3.44 | 4.46 | 0.02 | 0.02 | |
Run 11 | 4.8 | 0.53 | 1.37 | 3.41 | 0.52 | 0.50 | 1.36 | 3.39 | 11.96 | 0.13 | 0.04 | |
Run 11 | 6.9 | 0.48 | 1.35 | 3.35 | 0.52 | 0.52 | 1.34 | 3.37 | 18.44 | 0.70 | 0.04 | |
Run 12 | 2.4 | 0.31 | 0.64 | 2.40 | 0.54 | 0.29 | 0.69 | 2.27 | 0.87 | 0.21 | 0.72 | |
Run 12 | 4.8 | 0.23 | 0.64 | 2.40 | 0.53 | 0.24 | 0.66 | 2.25 | 6.48 | 0.34 | 0.77 | |
Run 12 | 7.2 | 0.26 | 0.72 | 2.36 | 0.54 | 0.24 | 0.70 | 2.22 | 11.96 | 0.53 | 0.81 | |
Run 13 | 2.5 | 0.33 | 1.69 | 1.86 | 0.37 | 0.48 | 0.88 | 2.30 | 0.64 | 0.01 | 0.88 | |
Run 13 | 4.9 | 0.37 | 1.61 | 1.95 | 0.39 | 0.46 | 0.87 | 2.27 | 6.31 | 0.02 | 0.92 | |
Run 13 | 7.4 | 0.48 | 0.98 | 2.35 | 0.56 | 0.45 | 0.86 | 2.26 | 11.94 | 0.03 | 0.89 | |
Run 14 | 2.7 | 0.48 | 1.95 | 1.79 | 0.35 | 0.56 | 1.35 | 2.42 | –3.13 | 0.02 | 0.75 | |
Run 14 | 4.8 | 0.46 | 1.83 | 2.04 | 0.40 | 0.50 | 1.30 | 2.42 | 2.30 | 0.19 | 0.78 | |
Run 14 | 6.9 | 0.42 | 1.80 | 1.96 | 0.39 | 0.48 | 1.28 | 2.40 | 7.02 | 0.45 | 0.81 | |
Run 15 | 2.6 | 0.53 | 1.07 | 2.83 | 0.59 | 0.55 | 1.38 | 2.44 | 1.86 | 0.01 | 0.42 | |
Run 15 | 4.7 | 0.40 | 1.23 | 2.43 | 0.56 | 0.46 | 1.34 | 2.38 | 7.37 | 0.01 | 0.25 | |
Run 15 | 6.8 | 0.35 | 1.28 | 2.34 | 0.54 | 0.43 | 1.33 | 2.36 | 12.78 | 0.02 | 0.24 | |
Run 16 | 2.7 | 0.61 | 1.29 | 2.87 | 0.50 | 0.50 | 1.20 | 2.75 | 1.94 | 0.07 | 0.03 | |
Run 16 | 4.8 | 0.39 | 2.19 | 2.01 | 0.28 | 0.44 | 1.17 | 2.68 | 6.11 | 0.41 | 0.03 | |
Run 16 | 6.9 | 0.37 | 2.13 | 1.86 | 0.28 | 0.42 | 1.16 | 2.61 | 10.50 | 0.44 | 0.05 | |
Run 17 | 2.7 | 0.64 | 1.20 | 2.61 | 0.57 | 0.56 | 1.35 | 2.42 | 2.12 | 0.07 | 0.64 | |
Run 17 | 4.8 | 0.37 | 1.84 | 1.83 | 0.35 | 0.50 | 1.30 | 2.42 | 7.46 | 0.24 | 0.67 | |
Run 17 | 7.0 | 0.35 | 1.75 | 1.96 | 0.38 | 0.48 | 1.28 | 2.40 | 12.63 | 0.29 | 0.67 | |
Run 18 | 2.7 | 0.57 | 0.92 | 2.51 | 0.54 | 0.54 | 0.97 | 2.36 | 1.71 | 0.02 | 0.51 | |
Run 18 | 4.8 | 0.50 | 0.92 | 2.36 | 0.53 | 0.49 | 0.90 | 2.31 | 7.11 | 0.17 | 0.57 | |
Run 18 | 6.9 | 0.48 | 0.93 | 2.33 | 0.53 | 0.46 | 0.90 | 2.26 | 11.84 | 0.51 | 0.78 | |
Run 19 | 2.4 | 0.51 | 2.11 | 1.62 | 0.39 | 0.59 | 1.58 | 1.72 | 1.77 | 0.01 | 0.76 | |
Run 19 | 4.8 | 0.44 | 1.95 | 1.71 | 0.42 | 0.49 | 1.53 | 1.69 | 8.50 | 0.17 | 0.86 | |
Run 19 | 6.8 | 0.39 | 1.84 | 1.79 | 0.44 | 0.44 | 1.51 | 1.67 | 13.70 | 0.80 | 0.82 | |
Run 20 | 2.5 | 0.48 | 1.83 | 1.81 | 0.30 | 0.56 | 1.34 | 2.20 | 1.44 | 0.03 | 0.45 | |
Run 20 | 5.0 | 0.44 | 1.72 | 1.83 | 0.33 | 0.49 | 1.29 | 2.17 | 8.03 | 0.12 | 0.60 | |
Run 20 | 7.1 | 0.39 | 1.82 | 1.67 | 0.29 | 0.49 | 1.29 | 2.14 | 12.44 | 1.00 | 0.71 | |
Run 21 | 2.5 | 0.49 | 1.84 | 1.53 | 0.34 | 0.56 | 1.33 | 2.13 | 10.40 | 0.02 | 0.84 | |
Run 21 | 5.0 | 0.49 | 1.82 | 1.62 | 0.38 | 0.52 | 1.33 | 2.07 | 15.10 | 0.19 | 0.81 | |
Run 21 | 7.1 | 0.41 | 1.84 | 1.46 | 0.35 | 0.49 | 1.33 | 2.06 | 19.37 (∗) | 0.49 | 0.84 | |
Dataa | – | 0.34 ± 0.16 | 1.60 ± 0.37 | 2.15 ± 0.48 | 0.48 ± 0.11 | – | – | – | 4 ± 5 b | 0.45 ± 0.31 | – |
Notes.Run (Col. 1): identifying name of the run; t (Col. 2): time elapsed since the beginning of the simulation; (Col. 3): velocity dispersion of pop. A as derived from fitting with two Gaussian components;
(Col. 4): velocity dispersion of pop. B as derived from fitting with two Gaussian components; ΔRV (Col. 5): RV difference between pop. A and pop. B as derived from fitting with two Gaussian components; fA (Col. 6): fraction of stars belonging to pop. A, as derived from fitting with two Gaussian components;
(Col. 7): intrinsic velocity dispersion of pop. A;
(Col. 8): intrinsic velocity dispersion of pop. B;
RV (Col. 9): difference between the average RV of pop. A and pop. B; Δy (Col. 10): distance between the centre of mass of pop. A and the centre-of-mass of pop. B along the line-of-sight (y axis). A negative value of Δy means that the first collision between cluster 1 and cluster 2 has not happened yet; Δxz (Col. 11): distance between the centre of mass of pop. A and the centre-of-mass of pop. B in the plane of the sky (xz plane); PKS (Col. 12): probability that the chance deviation between the observed RV distribution and the simulated RV distribution is expected to be larger, according to a Kolmogorov-Smirnov test. PKS is very small (< 0.05) only for run 11 (Δv = 3.5 km s-1) and run 16 (fbin = 0.75). Quantities differing by >3σ with respect to the observed value are marked by (∗).
The values reported in the last line come from the analysis of Jeffries et al. (2014).
The observed pop. A in Gamma Velorum is closer by Δy = 4 ± 5 pc than pop. B, if the observed difference in the colour-magnitude diagram (Jeffries et al. 2014) is due to a distance difference rather than to an age difference.
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