Histograms for back-traced orbits of AE Aurigae and μ Col from Monte Carlo simulations. with HIPPARCOS second reduction (top) and Gaia EDR3 data (bottom). The left most panel shows the fraction of distances of closest encounters between the two stars. The middle panel is the histogram of the times for the closest encounters of the two stars, and the right most panel plots the relative velocity of the stars with respect to each other.