Triaxial separable potentials V(λ, μ,ν) = fλ + fμ + fν ≥ 0, with admit three constants of the motion (see de Zeeuw 1985 for more details), for which we can take the following set:

Here vλ, and vν are the velocity components in the (λ, μ,ν) coordinate system, and we recognize in E the binding energy per unit mass.