Short-term evolution of comet P/2019 LD₂ (ATLAS). The top three panels show the evolution of some representative parameters computed from the orbit determination in Table 3 (in black) and relevant control orbits with Cartesian vectors separated +3σ (in green), −3σ (in cyan), +9σ (in brown), and −9σ (in orange) from the nominal values in Table 4. The top panel displays the evolution of the distance from Jupiter to the comet; the red dashed line indicates the Hill radius of Jupiter at 0.338 au, and the red thick line indicates a distance of 10 Jovian radii. The second panel shows the variation over time of the value of the Tisserand parameter with respect to Jupiter T_J for the same set of reference orbits. The third panel shows the evolution of the resonant angle λ_r for the same sample of control orbits. The bottom panel displays the trajectory followed by P/2019 LD₂ in a frame of reference centered at the Sun and rotating with Jupiter, projected on to the ecliptic plane. The diagram also includes the orbit of Jupiter, its position at (5.2, 0) au, and the Sun at (0, 0) au. This panel shows the evolution of the nominal orbital solution as in Table 3. The zero time instant in the top three panels corresponds to epoch JD 2459000.5 TDB. The blue ellipse in the bottom panel is described by Jupiter that has a small but non-zero value of the orbital eccentricity. The time span plotted in the bottom panel is the same as shown in the previous panels.