Shooting Position Stability Calculator
Estimate shooting hold stability, group size, and hit probability based on position, skill, wind, and heart rate.
About this calculator
This calculator models how much a shooter's own body wobble adds to a rifle's inherent accuracy, starting from a base hold capability in minutes of angle (MOA) tied to shooting position: roughly 0.5 MOA for bench rest, climbing through 1.0 for supported prone up to 6.5 MOA for unsupported standing. That base figure is then scaled by a skill multiplier (experts hold 0.65-0.8x tighter than the baseline, beginners 1.2-1.5x looser), and two penalties are added on top: a wind-wobble contribution that scales with both wind speed and how unstable the position already is, and a heart-rate penalty that only kicks in above 70 bpm, growing linearly toward 200 bpm. The combined hold-MOA is converted to an expected group size in inches using the standard approximation that 1 MOA subtends about 1.047 inches at 100 yards, scaled to the target distance.
Hit probability against a notional 20-inch-wide target is then estimated with a logistic-curve approximation of the normal distribution, treating the group size as roughly two standard deviations of shot dispersion — a simplification, not a true ballistic dispersion model, so treat the probability figure as directional rather than a guaranteed hit rate. Maximum effective range works backward from the same hold-MOA to find the distance at which your expected group would just fill 20 inches. The key limitation to keep in mind: this tool captures hold stability and human factors, not the rifle's mechanical accuracy, ammunition consistency, or wind drift on the bullet's flight path itself — pair it with a dedicated ballistics or wind-drift calculator for the complete picture.
Inputs
Results
Hold capability (MOA)
1.14
How to Use This Calculator
- Select Position from the dropdown: Prone Supported, Prone Unsupported, Sitting/Kneeling Supported, or Sitting/Kneeling Unsupported.
- Enter Target Distance in yards and your Skill Level (1=Novice through 5=Elite).
- Set Wind Speed in mph and current Heart Rate in bpm.
- Review Hold Capability in MOA, Expected Group Size in inches, and Hit Probability on a 20-inch target.
- Use Maximum Effective Range to determine if the target distance is within your realistic capability.
How the result changes with Heart rate (bpm)
| Heart rate (bpm) | Hold capability (MOA) |
|---|---|
| 40 | 1.1 |
| 60 | 1.1 |
| 120 | 1.29 |
| 200 | 1.6 |
What each input means
- Position
- Your shooting position — the primary driver of hold stability.
- Target distance (yds)
- Distance to target in yards.
- Skill level (1-5)
- 1=Novice, 2=Intermediate, 3=Experienced, 4=Expert, 5=Elite.
- Wind speed (mph)
- Wind speed in miles per hour.
- Heart rate (bpm)
- Current heart rate (higher = more wobble).
What each result means
- Hold capability (MOA)
- Estimated shooter wobble zone in minutes of angle.
- Expected group size (in)
- Predicted group diameter at the target distance.
- Hit probability on 20" target (%)
- Estimated probability of hitting a 20-inch target.
- Stability score (0-100)
- Overall stability rating (higher is more stable).
- Max effective range (yds)
- Maximum distance where groups stay within a 20-inch target.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersPosition (1-4) = 1, Target distance (yds) = 300, Skill level (1-5) = 3, Wind speed (mph) = 10 = 5 input(s) provided
- Calculate Hold capabilityHold capability = (baseMoa * skillFactor) + windMoaContrib + hrPenalty1.14 = 1.14
- Calculate Expected group sizeExpected group size = totalHoldMoa * 1.047 * (targetDistanceYds / 100)3.58 = 3.58
- Calculate Hit probability on 2099.9 = 99.9%
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why does the same rifle show a much bigger expected group size when standing versus prone?
Position sets the base hold capability the calculator starts from — about 1.0 MOA for supported prone versus 6.5 MOA for unsupported standing — because a standing shooter's body has far less contact with the ground to cancel out wobble. That base MOA is what gets scaled by skill, wind, and heart rate and then converted directly into expected group size in inches at your target distance, so a position with 6x the hold-MOA produces roughly 6x the group size at the same range.
How does heart rate affect stability, and why does it only kick in above 70 bpm?
The calculator treats resting heart rates up to 70 bpm as having no measurable effect on hold, since pulse-driven muscle tremor is negligible at rest. Above 70 bpm, a penalty grows linearly toward 200 bpm, scaled to half your base position MOA at the top end — so elevated heart rate from exertion or adrenaline degrades a shaky standing position proportionally more than a already-stable bench rest.
What does the hit probability on a 20-inch target actually represent?
It treats your expected group size as roughly two and a half standard deviations of shot dispersion, then runs that through a logistic-curve approximation of the normal distribution to estimate the odds a shot lands within a 20-inch-wide target. It's a simplified statistical stand-in for true ballistic dispersion, not a measured hit rate, so use it to compare setups against each other rather than as a guaranteed percentage.
Why doesn't this calculator account for wind drift on the bullet itself?
This tool only models shooter-side wobble — how position, skill, wind-induced body sway, and heart rate widen your hold — not how wind physically pushes the bullet off course during flight or the rifle's own mechanical accuracy and ammunition consistency. For the bullet's actual wind drift and trajectory, you'd need to pair this with a dedicated ballistics calculator.
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