Arrow Ballistics Study | 2026

Methods

Our commitment to transparency and rigor starts with our methods.

Overview

In this section, we dive deep into the testing and data collection methods used for the 2026 study. Methods articles are organized by area of testing: component testing (drag, restorative lift, sound), front-of-center testing, and a shared write-up of the photo capture and analysis pipeline used by both the components and front-of-center tests.

Component Testing

Drag Calculations

How we extracted a drag constant for each build using downrange Doppler radar data and a fitted point-mass trajectory model.

Restorative Lift

How we measured an aerodynamic-recovery proxy by inducing a controlled lateral bow torque and comparing torqued field-point and broadhead group positions at distance.

Sound Testing

How we measured arrow fly-by noise for each vane and broadhead in the Arrow Sound Testing Chamber, with calibrated 1/3-octave SPL processing.

Front-of-Center Testing

Front-of-Center Testing Overview

What was physically built, measured, and shot. Build matrix, spine convention, measured static spine, insert-spec measurements, nock tuning, bow and torque setup, shooting protocol, and KPI definitions.

Why FoC Is Hard To Test

Why front-of-center cannot be isolated as a single experimental variable, how the matrix design works around that, and what the matrix cannot answer.

FoC Analysis Overview

How the matrix is analyzed in plain language: a gentle introduction to regression, coefficients, confidence intervals, the three model framings, leave-one-out, and how to read a forest plot.

FoC Analysis Appendix

Technical details: weighted least squares model definitions, HC3 standard errors, collinearity, Benjamini-Hochberg and Bonferroni multiple-outcomes correction, leave-one-out mechanics, and the practical effect translation table.

Slow-Motion Capture & Preparation

How each slow-motion clip is captured and turned into a per-shot dataset of in-flight frames with ground-truth calibration.

Slow-Motion Measurement & Aggregation

How each TIFF stack becomes per-frame yaw and flex numbers, how those numbers roll up into per-build trajectories, and what the pipeline still gets wrong.

Shared

Photo Capture & Analysis

How impact photos are captured, annotated, and converted into level inch-space coordinates and group statistics. Used by the restorative-lift and front-of-center tests.

Feedback on our methods?

Are you a statistician, mathematician, test engineer, or someone else who does this kind of work day-to-day? We'd love to hear your feedback on our approach, our analysis methods, and anything else you notice.

© 2026 Precision Cut Archery. Except where otherwise noted, content and data are licensed under Creative Commons BY-NC-SA 4.0 License. Non-commercial use is permitted with attribution and a link back to this site. For commercial permissions or inquiries, contact [email protected].
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