Crossing of the expanding LB’s shell and the Solar System. Gray, red, blue and purple lines are the same as in Fig. 1. Black dashed lines correspond to the distance of the Solar System from the center of the LB (Eq. E.1) for different ages of the LB. The Solar System passes earlier through the LB’s shell for more powerful explosions, but even for a single SN explosion it would have crossed the shell within the first ∼ 1 Myr of its expansion.