Table 1
Initial surface density of planetesimals at the location where Neptune stops in different simulations.
| Mdisk | α | af | Σ(af) | Migration condition |
|---|---|---|---|---|
| (M⊕) | (au) | (M⊕/au2) | ||
| 30 | 1.5 | 21.304 | 0.00858 | |
| 30 | 2 | 22.408 | 0.00929 | |
| 30 | 3 | 25.235 | 0.00836 | |
| 40 | 1 | 21.672 | 0.00918 | R2N:1U not crossed |
| 40 | 1.5 | 24.117 | 0.00950 | 0.00924 ± 0.00058 |
| 45 | 1 | 23.274 | 0.00962 | |
| 45 | 1.5 | 26.920 | 0.00906 | |
| 50 | 1 | 24.048 | 0.01034 | |
| 30 | 4 | 27.828 | 0.00593 | Critical state |
| 40 | 2 | 31.674 | 0.00621 | |
| 40 | 3 | 33.950 | 0.00458 | |
| 40 | 4 | 32.188 | 0.00442 | |
| 45 | 2 | 41.998 | 0.00397 | |
| 45 | 3 | 37.493 | 0.00382 | |
| 45 | 4 | 34.319 | 0.00384 | R2N:1U crossed |
| 50 | 2 | 44.817 | 0.00388 | 0.00385 ± 0.00037 |
| 50 | 3 | 39.941 | 0.00351 | |
| 50 | 4 | 36.019 | 0.00352 | |
| 60 | 3 | 42.083 | 0.00360 | |
| 60 | 4 | 38.149 | 0.00336 | |
Notes. From left to right, the four columns represent the Mdisk, the α, the final position of Neptune, af, and the initial surface density, Σ(af), of the disk at that location. In the rightmost column, all simulations are categorized into three groups, and the average values and standard deviations of Σ(af) are given for each group.
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