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Fig. 3.

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Root mean square of the relative velocity dispersion, v 2 $ \sqrt{\langle v^2 \rangle} $, with respect to the CenA/M83 system’s barycentre, shown as a function of the mass ratio m ¯ CenA = m CenA / m Tot $ \bar{m}_{\mathrm{CenA}} = m_{\mathrm{CenA}}/m_{\mathrm{Tot}} $. Velocities are measured in the Local Group frame under the minor-infall (blue) and major-infall (red) models. Dotted lines: Raw results of v 2 $ \sqrt{\langle v^2 \rangle} $ as a function of m ¯ CenA $ \bar{m}{\mathrm{CenA}} $, mostly lying slightly below the smoothed (solid) curves, except for a local spike near m ¯ CenA 0.85 $ \bar{m}_{\mathrm{CenA}} \approx 0.85 $ in the minor infall case. This spike is interpreted as a numerical bias arising from the clustering of galaxies near the CenA/M83 barycentre position (Müller et al. 2021, 2025). The vertical dashed lines show positions of the minima in v 2 $ \sqrt{\langle v^2 \rangle} $ for each model, indicating the best-fitting mass ratio. To avoid confusion, these vertical lines are plotted with a distinct dashed style, different from the dotted raw data lines.

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