This manuscript describes a novel framework for motion analysis in diverse datasets, suggesting broader applicability in various domains.
This deposit contains the compiled manuscript and a complete LaTeX source bundle for Structured Orb Dynamics (SOD), a geometry-first, state-based framework for describing apparent motion using image-plane trajectories when physical metadata are missing. The method emphasizes proportional inference: it reconstructs a stabilized trajectory where feasible, computes curvature and related geometric quantities, and segments motion into a small set of descriptive geometric states (Straight, Turn, Hover, Orb) without attributing physical mechanisms or object identity. The manuscript includes a quantitative case study on the PR-018 stabilized infrared dataset, a constrained qualitative supplement for GIMBAL (to demonstrate non-applicability of curvature-based inference under strong parallax / missing telemetry), and a domain-generality extension using biological GPS tracks. In Part VI, VI-B provides a formal negative control (coarse-cadence Barn Swallow GPS), and VI-C tests a high-cadence near-hover boundary case (hummingbird tracking) to show that cadence alone is insufficient and that Hover classification requires persistence gating. Files included: (1) compiled PDF manuscript; (2) LaTeX sources and figures needed to reproduce the PDF.Includes one archived internal draft file retained for provenance; this file is not part of the compiled manuscript. Version 1.6.0This version adds an explicit audit-boundary demonstration within the Methods section, illustrating intentional withholding behavior when geometric support is insufficient for motion-state assignment. Minor LaTeX text-layer hygiene fixes were applied for archival clarity. No changes were made to classifier logic, analytical results, or interpretive scope.
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Hagelund Cassandra Perry (2025) studied this question.
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