Maximum relative variation in the Hamiltonian as a function of the parameters μ and b of the isochrone potential used for the splitting. Each column corresponds to a different orbit (orange, red, and green points in Figs. 5 and 6), integrated with 𝒮𝒜ℬ𝒜₁ over two radial periods for a given integration time step, δt. The orange, green, and pink points correspond to the isochrone splitting with parametrisation points q = r_p, q = r_a, and q = r_⋆, respectively (the points overlap for Orbit #2), while the cyan curve shows all possible parametrisation points, q, between the periapsis distance and apoapsis distance, following Eq. (34).