Representation of the librations around L₃ in the realistic model obtained assuming a neighborhood of L₃ with amplitude equal to 10⁻³ and 2 × 10⁻⁴ AU, respectively. The time-spans of the two orbits are 700 and 250 years respectively. The black lines represent the restriction of the trajectories to 20 years. The red point indicates the position of L₃ in the rotating-pulsating reference frame.