Sequences of minima and binary star binding energy evolution in one realisation of model m-20k(left) and of model m-100k(right). Top: Lagrangian radii. Circles correspond to the minima of the radii, and the dashed lines are the power-law fits (11). Bottom: evolution of the binding energies of the dynamically formed binary stars. Each colour corresponds to one binary star family line, in which the individual components may be exchanged due to interactions with other stars. Black dashed vertical lines indicate the times of the homologous collapses, highlighted areas around them are the time intervals used for the evaluation of ΔE_bin.