Fig. 4.

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Effect of proper motion uncertainties on satellite galaxies under different initial vertical distributions of h = 10, h = 20 kpc, and h = 30 kpc. The left panel shows proper motion uncertainties of 0.04 mas yr−1, while the right panel displays uncertainties of 0.08 mas yr−1. Dashed curves indicate forward integrations and solid curves represent backward integrations.
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