Arrow FOC Calculator
Calculate arrow Front of Center (FOC) percentage using ASTM/AMO standards. Optimize arrow balance for target, 3D, or hunting accuracy.
About
Front of Center (FOC) quantifies how far forward an arrow's balance point sits relative to its geometric midpoint. The metric governs in-flight stability, penetration, and grouping consistency. An arrow with FOC below 7% tends to fishtail and lose accuracy beyond 30m. An FOC above 20% produces a nose-heavy trajectory that drops steeply and reduces effective range. The ASTM F2031 standard (formerly AMO) defines the measurement protocol: balance the finished arrow, measure from the nock groove to the balance point, then apply the percentage formula against total shaft length. This calculator implements that standard and cross-references your result against accepted ranges for target archery (7 - 11%), 3D competition (10 - 15%), and hunting (10 - 19%).
Miscalculating FOC leads to poor arrow flight that no amount of bow tuning corrects. Broadhead hunters risk insufficient penetration on game animals. Target shooters lose points to drift. This tool assumes a straight, undamaged shaft and does not account for arrow flex (spine) or drag coefficients from oversized vanes. For extreme FOC builds (EFOC > 19%), verify clearance with your rest and confirm broadhead flight before hunting.
Formulas
The ASTM F2031 (AMO) standard defines FOC as the percentage offset of the balance point forward of the arrow's geometric center.
Where B = distance from the nock groove (throat) to the balance point, measured in the same units as L. L = total arrow length measured from the nock groove to the end of the shaft (excluding the point tip that extends beyond the shaft). Both values must use identical units (inches or cm).
A positive FOC means the balance point is forward of center. A value of 0% means the arrow balances exactly at its midpoint. Negative values indicate a rear-heavy arrow (unstable).
Pro Tip: To find B, balance the fully assembled arrow (with point, insert, nock, vanes, and wrap) on a sharp edge or string. Mark where it balances. Measure from the nock groove to that mark.
Reference Data
| Category | FOC Range | Use Case | Typical Point Weight | Notes |
|---|---|---|---|---|
| Low FOC | 2 - 6% | Unstable / Avoid | < 80gr | Erratic flight, poor grouping |
| Target (Indoor) | 7 - 9% | Indoor 18m target | 80 - 100gr | Flat trajectory priority |
| Target (Outdoor) | 9 - 11% | Outdoor 70m FITA | 100 - 120gr | Balance of stability and flatness |
| 3D Competition | 10 - 15% | 3D foam targets | 100 - 125gr | Forgiving at unknown distances |
| Hunting (Standard) | 10 - 15% | Deer, antelope | 100 - 125gr | Good penetration and flight |
| Hunting (Heavy) | 15 - 19% | Elk, moose, bear | 150 - 200gr | Maximum penetration |
| EFOC | 19 - 30% | Extreme penetration | 200 - 300gr | Ashby research. Steep arc. Short range. |
| Ultra EFOC | > 30% | Specialty / Experimental | > 300gr | Requires heavy spine. Not mainstream. |
| Common Field Point | - | Practice | 100gr | Most common factory standard |
| Standard Insert | - | All | 12 - 50gr | Aluminum or brass |
| Standard Nock | - | All | 6 - 12gr | Pin or press-fit |
| 3-Vane Setup (4″) | - | Hunting | 18 - 30gr | Total for 3 vanes |
| 3-Vane Setup (2″) | - | Target | 9 - 15gr | Total for 3 vanes |
| Wrap Weight | - | All | 3 - 8gr | Arrow wrap for vane adhesion |
| Spine 300 | - | 60-70 lb bows | 9 - 11gpi | Grains per inch of shaft |
| Spine 400 | - | 50-60 lb bows | 7 - 9gpi | Grains per inch of shaft |
| Spine 500 | - | 40-50 lb bows | 6 - 8gpi | Grains per inch of shaft |