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February 5, 20260 citationsOpen Access

Structured Orb Dynamics: Unified Manuscript and Data Repository (v1.6.0)

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HPHagelund Cassandra Perry

Key Points

  • The aim is to present a unified framework for analyzing apparent motion dynamics in the absence of physical metadata.
  • Developed a geometry-first, state-based framework for motion description.
  • Reconstructed stabilized trajectories and computed curvature.
  • Segmented motion into geometric states: Straight, Turn, Hover, Orb.
  • Performed case studies on infrared datasets and biological GPS tracks.
  • Included negative controls and tests for the Hover classification.
  • Demonstrated the framework's applicability on the PR-018 stabilized infrared dataset.
  • Showed limitations of curvature-based inference under missing telemetry conditions.
  • Highlighted that classification of Hover requires specific persistence gating.

Abstract

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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Cite This Study

Hagelund Cassandra Perry (2025) studied this question.

synapsesocial.com/papers/6984359ef1d9ada3c1fb494bhttps://doi.org/10.5281/zenodo.18466432
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