Realizations of CP coordinates for 1000 Monte Carlo simulations (red dots) overlaid on the X² contours (solid lines) for the CP solution derived in Sect. 5.3. The blue square denotes the CP coordinates for the Lupus moving group derived in that section, and the green triangle denotes the centroid distribution of simulated CPs (see Sect. 5.4). The dashed lines indicate the 1σ, 2σ, and 3σ contour levels of our CP solution.