What does this research mean for the field?

A simultaneous three-body architecture of hypothetical trans-Neptunian perturbers (Solution B, Erebo, and P3) acts synergistically to amplify Kozai-Lidov torques and constructively lift Sedna's perihelion significantly more than single-perturber models. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This research aims to evaluate the simultaneous effects of three specific trans-Neptunian perturbers on Sedna's perihelion and orbital dynamics.

May 18, 2026Open Access

Grand Unification of the ATMAN v5.0 Perturber Series: A Simultaneous Three-Body Integration of Solution B, Erebo, and P3 (Paper IX)

Key Points

This research aims to evaluate the simultaneous effects of three specific trans-Neptunian perturbers on Sedna's perihelion and orbital dynamics.
Performed a three-body N-body integration of Solution B, Erebo, and P3 over 1 million years.
Utilized a mixed test-particle population of classical Kuiper Belt objects and Sednoids.
Assessed six scenarios to analyze the effects of the perturbers on Sedna's orbit.
P3 alone results in a perihelion increase of +2.37 au, while the three-body integration amplifies this to +6.02 au (+154% increase).
The Sednoid checkpoint count in the three-body run reaches 31, double that of any single perturber scenario (≤19).
Solution B and Erebo enhance P3's Kozai-Lidov torque on Sedna, confirming their roles as secular resonance mediators.

Abstract

(Abstract) We present the first simultaneous three-body N-body integration of all hypothetical trans-Neptunian perturbers identified in the ATMAN v5. 0 series: Solution B (6 M⊕, 75 au, λ=260°; Paper V), Erebo (7 M⊕, 600 au, λ=156°; Paper II), and P3 (12 M⊕, 1000 au, λ=180°; Paper VIII). Six scenarios are evaluated over 1 Myr with a mixed test-particle population of classical Kuiper Belt objects and three Sednoids. The key result is constructive interference on Sedna's perihelion: P3 alone lifts ΔqSedna = +2. 37 au, but in the full three-body run this rises to ΔqSedna = +6. 02 au (+154% amplification), with Sⱼoint = 0. 656 — the highest in the series. The Sednoid checkpoint count in the joint run (31) is twice that of single-perturber scenarios (≤19), confirming enhanced dynamical coherence. Solution B and Erebo act as secular resonance mediators that amplify P3's Kozai-Lidov torque on Sedna's orbit. The three-perturber architecture is dynamically synergistic. SHA-256 (simulation output): 64d561ab4cf8c439b27feb53d87e8544dee887529ad996c1e666bf65bbc9f9a4. This is Paper IX of the ATMAN v5. 0 series.

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