Table A.1.
Parameters and results for backward integration models at 3 Gyr in backward integration with θmax = 80°.
| Model | ϵμ | ϵdist | Potential | Mrealization | Δc/a | fc/a | Nsat(> 300 kpc) | |
|---|---|---|---|---|---|---|---|---|
| [mas yr−1] | [%] | Forward | Backward | |||||
| BI-01 | ± 0.00 | 0 | MWfiducial | MWfiducial | 600 | 0.00 ± 0.01 | 1.00 ± 0.12 | 1.40 ± 0.92 |
| BI-02 | ± 0.04 | 0 | MWfiducial | MWfiducial | 600 | 0.07 ± 0.05 | 1.69 ± 0.51 | 1.53 ± 1.01 |
| BI-03 | ± 0.08 | 0 | MWfiducial | MWfiducial | 600 | 0.17 ± 0.09 | 2.64 ± 0.87 | 1.97 ± 1.10 |
| BI-04 | ± 0.12 | 0 | MWfiducial | MWfiducial | 600 | 0.24 ± 0.11 | 3.32 ± 1.07 | 2.57 ± 1.14 |
| BI-05 | ± 0.00 | 0 | MWfiducial | MWlow | 600 | 0.03 ± 0.05 | 1.27 ± 0.44 | 6.40 ± 1.50 |
| BI-06 | ± 0.04 | 0 | MWfiducial | MWlow | 600 | 0.06 ± 0.05 | 1.61 ± 0.47 | 6.63 ± 1.46 |
| BI-07 | ± 0.08 | 0 | MWfiducial | MWlow | 600 | 0.13 ± 0.07 | 2.26 ± 0.68 | 7.03 ± 1.38 |
| BI-08 | ± 0.12 | 0 | MWfiducial | MWlow | 600 | 0.21 ± 0.10 | 2.97 ± 0.93 | 7.36 ± 1.43 |
| BI-09 | ± 0.00 | 0 | MWfiducial | MWhigh | 600 | 0.01 ± 0.02 | 1.13 ± 0.16 | 0.35 ± 0.48 |
| BI-10 | ± 0.04 | 0 | MWfiducial | MWhigh | 600 | 0.10 ± 0.06 | 1.93 ± 0.58 | 0.51 ± 0.59 |
| BI-11 | ± 0.08 | 0 | MWfiducial | MWhigh | 600 | 0.21 ± 0.10 | 2.98 ± 0.97 | 0.91 ± 0.79 |
| BI-12 | ± 0.12 | 0 | MWfiducial | MWhigh | 600 | 0.26 ± 0.11 | 3.45 ± 1.02 | 1.51 ± 0.93 |
| BI-13 | ± 0.00 | 5 | MWfiducial | MWfiducial | 600 | 0.02 ± 0.02 | 1.17 ± 0.18 | 2.05 ± 1.07 |
| BI-14 | ± 0.04 | 5 | MWfiducial | MWfiducial | 600 | 0.08 ± 0.05 | 1.78 ± 0.51 | 2.35 ± 1.12 |
| BI-15 | ± 0.08 | 5 | MWfiducial | MWfiducial | 600 | 0.18 ± 0.09 | 2.68 ± 0.86 | 2.90 ± 1.14 |
| BI-16 | ± 0.12 | 5 | MWfiducial | MWfiducial | 600 | 0.24 ± 0.11 | 3.32 ± 1.06 | 3.61 ± 1.17 |
| BI-17 | ± 0.00 | 5 | MWfiducial | MWlow | 600 | 0.05 ± 0.06 | 1.51 ± 0.57 | 8.10 ± 1.58 |
| BI-18 | ± 0.04 | 5 | MWfiducial | MWlow | 600 | 0.08 ± 0.06 | 1.80 ± 0.57 | 8.34 ± 1.52 |
| BI-19 | ± 0.08 | 5 | MWfiducial | MWlow | 600 | 0.15 ± 0.08 | 2.41 ± 0.71 | 8.61 ± 1.53 |
| BI-20 | ± 0.12 | 5 | MWfiducial | MWlow | 600 | 0.21 ± 0.08 | 2.95 ± 0.79 | 8.92 ± 1.54 |
| BI-21 | ± 0.00 | 5 | MWfiducial | MWhigh | 600 | 0.02 ± 0.02 | 1.16 ± 0.21 | 0.90 ± 0.77 |
| BI-22 | ± 0.04 | 5 | MWfiducial | MWhigh | 600 | 0.10 ± 0.06 | 1.94 ± 0.61 | 0.92 ± 0.74 |
| BI-23 | ± 0.08 | 5 | MWfiducial | MWhigh | 600 | 0.21 ± 0.10 | 2.97 ± 0.97 | 1.36 ± 0.91 |
| BI-24 | ± 0.12 | 5 | MWfiducial | MWhigh | 600 | 0.26 ± 0.11 | 3.46 ± 1.05 | 1.97 ± 1.02 |
Notes. The table lists the model numbers (BI), proper motion errors (ϵμ) in milliarcseconds per year, distance errors (ϵdist) in percentage, the gravitational potential used for forward and backward integration (MWfiducial, MWlow, MWhigh), the number of realizations Mrealization for each backward integration, the average absolute difference in average minor-to-major axis ratio flattening between forward and backward integration (Δc/a), and the average relative change in this quantity between the forward and backward integration (fc/a) along with their standard deviations (std) as a measure of their spread between different realizations at 3 Gyr. Additionally, Nsat > 300 kpc denotes the absolute number of satellite realizations beyond 300 kpc with their standard deviations.
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