This paper demonstrates that the Kelvin-simplex coordinate framework introduced in a companion work provides a natural diagnostic and classification tool for three-body orbit families. In Kelvin coordinates, the gravitational state of a three-body system maps to a point on a probability simplex evolving under the replicator equation. Six canonical orbit families -- figure-eight, Lagrange equilateral, hierarchical stable, Pythagorean (Burrau), chaotic scattering, and near-collinear -- produce quantitatively distinct trajectories in this space. Three analytical results are established: the Lagrange configuration is an exact fixed point of the Kelvin dynamics at maximum entropy; hierarchical configurations are confined to simplex corners with near-zero entropy; and ejection events produce a characteristic downward entropy signature. A set of six scalar descriptors (mean entropy, entropy standard deviation, centroid distance, corner proximity, simplex path length, spectral concentration) assigns a unique profile to each family with no pairwise overlap within the simulation conditions considered. Robustness under 1% initial-condition perturbation confirms that stable periodic signatures are reproducible, while sensitivity in chaotic families is physically interpretable rather than diagnostic noise. This is the second paper in a series on Kelvin-simplex mechanics.
Lee Michael John Rich (Thu,) studied this question.