Canonical Parameters Reference
reference
Canonical parameter definitions, symbols, units, and ranges used across The Physics of Golf and The Geometry of Motion.
ImportantAuthority and Limit
State: Available normative parameter table. The definitions below fix the symbols, units, and expected ranges used across the textbook series. A normative definition fixes language; it does not validate a model, dataset, software result, human-mechanism interpretation, or coaching claim.
This document serves as the single source of truth for parameter definitions across The Physics of Golf (Ch 1-31) and The Geometry of Motion (Vol 0-1).
| Parameter | Symbol | Unit | Definition | Range/Example | Context/Chapter |
|---|---|---|---|---|---|
| Mass | \(m\) or \(M\) | kg | Mass of the clubhead or relevant body segment | 0.2 - 0.35 kg (clubhead) | Ch 1-5, Vol 0 |
| Length | \(L\) | m | Length of the club shaft | 0.9 - 1.2 m | Ch 2, Vol 1 |
| Center of Gravity | \(CoG\) | m | Distance from clubhead center to CoG | 0.01 - 0.05 m | Ch 4, Vol 1 |
| Coefficient of Restitution | \(COR\) | - | Ratio of relative velocity after impact to before impact | 0.78 - 0.83 | Ch 10-12 |
| Drag–Curve Ratio | \(DgCR\) | - | Restitution-based ratio \((1 - COR)/(1 + COR)\) (see NOTATION.md). Not to be confused with the Drift–Control Ratio (DCR). | 0 - 1 | Ch 10-12 |
| Force | \(F\) | N | Applied force | 100 - 1000 N | Ch 1-31 |
| Torque | \(\tau\) | N·m | Applied torque | 10 - 150 N·m | Ch 1-31 |
Usage
- Consistency: All numerical examples and derivations must align with these symbols and ranges.
- Reference: Cross-reference this table when introducing new parameters in articles or textbook chapters.
Citation
BibTeX citation: Download .bib
@online{untitled,
author = {},
title = {Canonical {Parameters} {Reference}},
url = {https://affinedrift.com/pages/parameters.html},
langid = {en}
}
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