(Top panel) Relationship between the viewing angle ψ and the triaxiality of the deprojected stellar density. Exact oblate axisymmetry has T = 0 and ψ = 90.°0. The other viewing angle θ is taken to be 89°, and ϕ is varied from 1° to 89°. (Bottom panel) Fraction of long-axis tube orbits in the x–z start space as a function of the triaxiality of the stellar density near the oblate axisymmetric limit. The same mass model and orbital sampling parameters for NGC 1453 shown in Figure 1 is assumed here. In this example, long-axis tube orbits begin to appear when T is as small as ∼5 × 10−4 , or ∣ψ − 90°∣ as small as ∼9 × 10−6, and the fraction of these orbits increases monotonically as the potential becomes more triaxial, reaching ∼6% at T = 0.05.