Paper XII of the ATMAN v5.0 series. The inclination of the total angular momentum vector (invariable plane) of the Solar System is computed with and without the three hypothetical trans-Neptunian perturbers, using ATMAN v5.0 over 10 Myr. The control run (four giant planets only) yields iinv=1.617°±3×10⁻⁸°, in excellent agreement with the observed value of 1.574° (Souami & Souchay 2012), confirming ATMAN v5.0 angular momentum accuracy. The three-perturber run yields 9.995°±5×10⁻⁸°, a displacement of +8.421° from the observed invariable plane, driven by the combined angular momentum of Solution B (i=10°), Erebo (i=30°), and P3 (i=20°). This displacement constitutes a novel independent observational prediction of the three-perturber model, motivating the inclination sweep of Paper XIII. SHA-256: 6a65ebb0d884355962d1ac75ce982ed999c923b15529b3ee90a4b0d826a8c0d1. Paper XII of the ATMAN v5.0 series. Keywords: Kuiper belt, trans-Neptunian objects, N-body simulations, ATMAN v5.0, invariable plane, angular momentum, three-perturber system, outer solar system, observational prediction
Ariel Fernando Martini (Sun,) studied this question.