What does this research mean for the field?

The previously established best-fit ecliptic longitude for the perturber Erebo (156°±4°) remains valid and is not displaced by the presence of other background perturbers in a full three-perturber system. Novelty: ClaimNovelty.CONFIRMATORY. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to determine if the ecliptic longitude of Erebo changes when considering a three-perturber model.

May 19, 2026Open Access

ATMAN v5.0 Paper XI: Cross-validation of the Erebo Ecliptic Longitude in the Full Three-Perturber Background

Key Points

The aim is to determine if the ecliptic longitude of Erebo changes when considering a three-perturber model.
Conducted a 360° coarse sweep of ecliptic longitude with Δλ=10° and fine refinement with Δλ=2°.
Evaluated combined scores across all longitude trials to assess consistency.
Utilized external fixed background perturbers known as Solution B and P3.
All longitude trials produced identical combined scores with a standard deviation of 2.9×10⁻⁶.
The best-fit ecliptic longitude remained λErebo=156°±4°, confirming previous findings.
The three-perturber system demonstrated internal consistency, with no displacement of optimal longitudes.

Abstract

Paper XI of the ATMAN v5.0 series. The ecliptic longitude sweep of Paper II for Erebo (7M⊕, 600au) is repeated with Solution B and P3 present as fixed background perturbers, to test whether the Paper II best-fit of λErebo=156° shifts when the full three-perturber potential is active. The full 360° coarse sweep (Δλ=10°) plus fine refinement (Δλ=2°) reveals that all longitude trials produce essentially identical combined scores (score standard deviation=2.9×10⁻⁶, range=7.5×10⁻⁶ over 360°). The Paper II result λErebo=156°±4° remains valid and uncontaminated. The three-perturber system is internally consistent: no perturber displaces another's optimal longitude. SHA-256: 06271566c09e9214201dba1c5fab3342678dfe1bfe81ed0056d0d72229d68c21. Paper XI of the ATMAN v5.0 series.

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