Trajectories of particles in the three-body problem, with dashed boxes a and b indicating the locations of two close encounters. Box a corresponds to a close encounter occurring at approximately 0.4T, and box b corresponds to the second close encounter occurring at approximately 0.6T, where T denotes the orbital period. The two subplots below provide zoomed-in views, showing the positions and velocity directions of particles 1 and 3. For both encounters, the closest distance between particles 1 and 3 is approximately 0.014.