Note develops analogies between orbital stability and periodic orbit theory, suggesting implications for models.
This note develops two structural analogies between the COCM orbital framework and periodic orbit theory in the elliptic restricted three-body problem. Analogy 1: the S/U/DU/CU stability taxonomy maps onto the COCM (e,n) parameter space, with the rule that S and DU are never adjacent. Analogy 2: ω_z = 11.1991 is proposed as a resonant frequency of the bulk-brane-ring system, with the e-independence of n_crit (NT17-A) as supporting evidence. Both analogies are stated as working hypotheses; neither is derived from the COCM action.
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José Luis Vázquez González (2026) studied this question.
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