NT17-B: Resonance Structure and Orbital Stability in the COCM — Two Ideas from Periodic Orbit Theory

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.