Joint Dynamical Action of Erebo and Solution B on the Outer Kuiper Belt: A Full Solar System N-body Integration with ATMAN v5.0 (Paper VI)

(Abstract) We present the first simultaneous N-body integration of the two hypothetical trans-Neptunian perturbers identified in this series — Erebo (7 M⊕, a=600 au, i=30°, λ=156°; Paper II) and Solution B (6 M⊕, a=75 au, i=10°, λ=260°; Paper V) — on a full outer Solar System model using ATMAN v5. 0. Four scenarios are evaluated over 500, 000 yr: control, Erebo alone, Solution B alone, and the joint two-perturber system. The joint run yields a combined score of 0. 514 and a depletion proxy of 0. 770, indicating partial interference: the two perturbers act in dynamically independent regimes without destructive cancellation. Solution B remains the dominant Kuiper Cliff perturber (Ddep=0. 831 alone vs. 0. 770 joint). The 104° angular separation between the two bodies is consistent with a geometry that minimises mutual interference. SHA-256: ce421625597a16fd9d0e6e3f1b0c253399b3dfde76dc3ecdfd6c4a7e94dab181. This is Paper VI of the ATMAN v5. 0 series. Author: Ariel Fernando Martini, Buenos Aires, Argentina (2026). Contact: arielₘartini₃@hotmail. com