Position-space separations as a function of time before and after reducing the spread in the curves. Left: Time evolution of separation in position space for each S-star and the central black hole. Right: y = −0.00018446 ⋅ a/au + log(e)+4.3103 subtracted from the time evolution of log₁₀(δ_r) for each S-star. The grey shading shows the region between the non-reduced maxima and minima of δ_r over the whole system at each time step, indicating the magnitude of reduction in the spread of the curves, although its lower section is obscured by the coloured curves.