Representative orbits for the sample of selected OCs projected on the equatorial GP in the non-inertial frame with a bar pattern speed of 31 km s⁻¹ kpc⁻¹, and time-integrated backward over 2 Gyr. The solid and dashed circles show the locations of the CR and solar orbit, respectively, while the black dots mark the positions of the Lagrange points of the Galactic bar, L₄ and L₅, and the current Sun position. The horizontal solid blue line shows the extension of the bar in our model. The solid red line shows the orbits of the selected OCs from the observables without error bars. The red filled and unfilled star symbols indicate the initial and final positions of the OCs in our simulations, respectively.