Past trajectories of the double pulsar J0737–3039 (red line) and its two candidate birth open clusters, OC 0450 (blue line and green points for member stars) and Theia 58 (black line and magenta points for member stars). The dashed gray circle marks the 3r₅₀ boundary of Theia 58. The assumed present BNS radial velocity is 66.25 km s⁻¹. The trajectories intersect Theia 58 at 7.43 Myr and OC 0450 at 8.04 Myr lookback time.