Representation of the modified FLI map associated to the bidimensional grid of initial data in the case in which L₃ is the reference point and ; the colors indicate the values of the chaos indicator computed in the time-span of 1000 years. We note that the maximum values of mFLI are not in a line parallel to the X or V_Y axis. For this reason, if we want to have a good refinement of the two-dimensional grid, we need to isolate two points P₀ = (X₀, V_Y, 0), P₁ = (X₁, V_Y, 1) (green points) of the two-dimensional grid characterized by a high value of the modified FLI and then take points X and V_Y such that X = X₀ + δ(X₁ − X₀)+ϵ(V_Y, 1 − V_Y, 0), V_Y = V_Y, 0 + δ(V_Y, 1 − V_Y, 0)−ϵ(X₁ − X₀) with δ ∈ [0, 1] and ϵ ∈ [ − Δϵ, Δϵ]: we used Δϵ equal to 2 × 10⁻⁵ for the refinement of the grid shown in this figure.