Kuiper Cliff Constraints on a Trans-Neptunian Perturber: A Two-Dimensional Mass–Distance Sweep with ATMAN v5.0 Paper III

(Abstract) We present a two-dimensional parameter sweep over mass (1–10 M⊕)and semi-major axis (50–150 au) for a hypothetical trans-Neptunianperturber, using the Kuiper-cliff CKBO metric implemented inATMAN v5.0. Two candidate solutions emerge: Solution A(2.5 M⊕, a=100 au, consonance=1.000, p=8.53%) and Solution B(6 M⊕, a=75 au, combined score=0.609, depletion proxy=0.850).Solution B is identified as the preferred configuration on the basisof its superior depletion proxy and combined score. This is Paper IIIof the ATMAN v5.0 series. Author: Ariel Fernando Martini, Buenos Aires, Argentina (2026).Contact: ariel_martini_3@hotmail.com