What question did this study set out to answer?

The study aims to investigate the clustering of trans-Neptunian objects to determine the existence of Planet 9.

March 30, 2026Open Access

BCT Letter 186: Planet 9 and the BCT Orbital Resonance Series

Key Points

The study aims to investigate the clustering of trans-Neptunian objects to determine the existence of Planet 9.
Analyzed the clustering of trans-Neptunian objects (TNOs) at distances of 400-800 AU.
Identified preferred orbital radii using BCT orbital resonance equations.
Provided two interpretations regarding the nature of TNO clustering.
Confirmed the Kuiper Cliff at 55.4 AU as a valid prediction.
Presented an orbital zone for Planet 9 around 347 AU.
Suggested an alternative explanation involving a geometric resonance effect without a physical planet.

Abstract

The anomalous clustering of trans-Neptunian objects suggests a hidden planet at ~400–800 AU. BCT identifies preferred orbital radii at rₙ = rNeptune × RBCTⁿ where RBCT = 1. 843. This gives r₁ = 55. 4 AU (the Kuiper Cliff — confirmed), r₂ = 102 AU, r₃ = 188 AU, r₄ = 347 AU (Planet 9 zone). BCT offers two interpretations: (A) Planet 9 exists at ~347 AU; (B) the TNO clustering is a geometric Bessel resonance effect requiring no physical planet. The Kuiper Cliff at r₁ = 55. 4 AU constitutes an existing confirmed prediction. Zero free parameters.

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Michel Robert Cabrié

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BCT Letter 186: Planet 9 and the BCT Orbital Resonance Series

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Abstract

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