Examples of the slope differences between the angle and frequency distributions (top panels) and histograms of the spread of Δθ_r(0)/Δθ_r(t_f) (bottom panels). In the top panels, the blue crosses indicate values from the full simulation, while the green lines are the predictions from our analytic model. The red crosses are the slopes measured when the initial spreads from the simulations are removed. All orbits now align with the model when a_g = 0. For large a_g the more circular orbits such as orbit O15 deviate strongly from the model because of non-adiabaticity.