Obliquity distributions. The histograms are the distributions for ψ calculated from the rotation period in Sect. 3.2 with the KDE overplotted as the solid lines. The coloured areas are the confidence intervals with the medians shown as the black lines. The orange distribution corresponds to using the orbital inclination, i, directly from our posteriors and the green is i − 180°. On the sphere, we only show the “orange” distribution for ψ as the heatmap. We do this for a fixed value of i (in terms of how the sphere is oriented). The sphere is colour coded according to the perceived movement of the stellar disk with the approaching (receding) side in blue (red) for an observer along the line of sight, which is denoted by the grey arrow.