Extended Data Fig. 4: Corner plot for mock datasets of K Giant stars at r > 40 kpc drawn from live n-body simulations of the MW where the LMC falls in with a mass M_LMC/(10¹¹M_⊙) = 1, 2 and 3.

Posteriors from the fits for the three models are shown in greyscale from dark to light to indicate increasing mass: 1 × 10¹¹M_⊙ (black), 2 × 10¹¹M_⊙ (dark grey), 3 × 10¹¹M_⊙ (light grey). See Supplementary Information for mock data details. All parameters are well constrained and show a relatively minor covariance. Note that the bounds on the apex direction and the magnitude of the reflex motion improve in proportion to the LMC mass. Values derived directly from the simulation are shown as dashed vertical lines (on histograms), or coloured ‘x’ markers on contour plots: light red (1 × 10¹¹M_⊙), red (2 × 10¹¹M_⊙), dark red (3 × 10¹¹M_⊙).