Advanced Ballistic Compensation

In our more technical articles, we occasionally mention ballistic curve compensation, but it's not the only variable that affects a bullet's trajectory.
Introductory photo: Wind Wizard II anemometer.
A bullet’s trajectory is influenced not only by gravity but also by temperature, humidity, atmospheric pressure, wind speed and direction, and even the Earth's rotation. How are these variables measured, compensated for, and are they even relevant to your hunting practice? In short, if you’re hunting within our region and shooting up to, say, 250 meters using a standard high-performance hunting cartridge, you can likely stay relaxed while reading the following lines. However, with increasing distance, lower cartridge performance, a lower ballistic coefficient of the bullet used, and extreme environmental conditions, the need to incorporate additional variables into ballistic calculations becomes more important.
We introduced basic bullet drop compensation in one of our previous articles. Below, we’ll present a general overview of the effects of temperature, humidity, pressure, and planetary movement on a projectile in flight, how to measure them, and how to compensate for them. The relevant formulas can be easily found online, but they involve fairly complex and tedious calculations, which, among other things, include bullet drift, Coriolis, Eötvös, and Magnus forces. Fortunately, there is no longer a need to dive into mathematical and physical exercises. A far easier solution is to use a ballistic app for your smartphone or an online calculator. Personally, I use the app developed by the well-known ammunition manufacturer Hornady, which stands out for its fast and intuitive interface and is available for free (more at hornady.com). Of course, there are countless competing apps if Hornady’s solution doesn’t suit you for any reason. You simply enter all the necessary variables into the appropriate fields, and the app provides you with the ballistic profile of your bullet. The basics again include knowing the bullet's ballistic coefficient and weight (usually provided by the manufacturer), muzzle velocity (measured with a chronograph, preferably a radar unit), and your rifle’s barrel twist rate. Air pressure can be measured with a barometer, humidity with a hygrometer, temperature with a thermometer (in most cases, it's sufficient to account for the altitude of your hunting area and check the weather forecast), and altitude can be determined from maps or GPS. If you’re not a fan of electronics, with an acceptable margin of error, you can pre-calculate all of this data at home and rely on an offline cheat sheet in the field. However, you won't get far without a rangefinder. Wind influence is a bit more complex—but we’ll get to that.

Shooting on a Rotating Planet
Let’s start with the least critical, yet certainly interesting factor—planetary rotation. Simply put, during the time between when a bullet leaves the barrel and hits the target, the Earth rotates slightly. Although the bullet retains some inertial momentum in the direction of the Earth’s rotation after the shot, once it loses contact with the barrel (neglecting the relatively minor influence of air), it is less affected by Coriolis force than objects that remain in contact with the ground. As a result—and this is a highly simplified explanation—if you shoot westward, the target will rotate upward and toward the bullet, causing the impact point to be slightly lower. Conversely, if you shoot eastward, the target will appear to drop and move away, making your shots land a bit higher. Shooting north or south results in the target “shifting” slightly to the side due to the Earth's rotation. A target to the north will be hit slightly to the right of point of aim, while a target to the south will be hit slightly to the left. In practice, however, shooters rarely fire exactly along a cardinal direction, which complicates things further due to angular drift. Additionally, these deviations depend on the shooter’s distance from the equator, the bullet’s velocity, and its ballistic coefficient. The longer the bullet is in flight, the more pronounced the effect. For context: a shooter at the 45th parallel firing a .30-06 cartridge (823 m/s, 176 gr, .564 BC A-Tip Match bullet from Hornady—these specifics will be used in other examples) at a target 910 meters west of their position, and then firing at a target the same distance to the east, would see a theoretical total point of impact shift of 20 cm. The vast majority of hunters can safely disregard this and skip any compensation. Subjectively, I would only factor this into calculations when shooting beyond 800–900 meters—which is well past the range most hunters are willing to engage. If this topic does interest you, pay close attention to the ballistic app you use—many don’t account for all these variables. Some include direction of fire but ignore the shooter’s latitude. Without this data, results can vary significantly, and if you're going to bother compensating for such effects, you'll want it to be as precise as possible. Applied Ballistics Quantum has a stellar reputation in this area, but its advanced features come at a price.

Air Resistance
Humidity, temperature, and altitude collectively influence atmospheric pressure and, therefore, the air resistance that a bullet must overcome in flight. Humidity is a bit counterintuitive—in general, as humidity increases, air density decreases, resulting in less drag on the bullet. However, the effect of humidity alone is negligible. For example, at 20°C and an elevation of 300 meters above sea level, the difference in drop of our reference bullet between air with 100% humidity and 0% humidity over a distance of 910 meters is just 4 cm.
Regarding air temperature—the higher it is, the lower the air density, and thus the less drag the bullet encounters, and vice versa. At -20°C, our bullet will drop 80 cm more than it would at 35°C. Temperature also complicates things because it affects internal ballistics. The initial temperature of the powder before ignition influences the resulting pressure and temperature after ignition. As the temperature increases, so does pressure, and this flattens the bullet’s trajectory even more. A hot day—or a preheated chamber from previous shots—can significantly flatten your ballistic curve, and this is much harder to calculate accurately. Different powders respond to temperature changes with varying sensitivity. Ballistic calculators account for this to varying degrees, but if you want precision, you’ll need to do extensive testing at the range.
Altitude is another factor that influences the bullet. The higher you are, the lower the air pressure, which means less air resistance acting on the bullet—and vice versa. Again, weather introduces additional complications. For instance, with an approaching storm, pressure tends to drop slightly, but this can be directly measured and factored in, rather than relying solely on elevation data. For an extreme comparison: if you head to the Himalayas for an ibex hunt—where these animals can be found well above 4,000 meters above sea level—your bullet at 910 meters will hit 149 cm higher than it would in Hřensko, Czech Republic, which lies just above 100 meters above sea level near the Elbe River.
What If It’s Windy
Among all the variables we’ve listed, the one that most significantly affects a bullet’s trajectory is wind direction and speed. Wind blowing from the left pushes the bullet to the right, and vice versa. How much this affects the shot depends on the bullet—its speed, shape, size, and ballistic coefficient (in general, a heavier bullet with a high BC is affected less)—as well as on wind intensity and direction. The longer the distance to the target, the greater the correction needed. With experience, you can roughly estimate wind based on visible heat waves or the classic “wet finger” method, but for accurate readings you’ll need a proper measuring device—an anemometer. For our purposes, compact handheld anemometers that fit in a pocket work well. You can buy them for a few dozen dollars online or in outdoor and electronics shops. A basic “general-sports” version is usually sufficient, though it’s worth investing a bit more in a model tailored specifically to shooters. Some of these can be paired directly with ballistic calculators, but in most cases, you’ll need to manually enter the data. Inside the anemometer is a small “fan” that spins with the wind. The onboard electronics then calculate wind speed in meters per second or another unit. The reading process is simple—turn the device on, raise it above your head to avoid sheltering it from the wind, and slowly rotate along the horizon until you find the direction with the highest speed. This is the wind direction you’ll use for your corrections. Because wind speed fluctuates, you should work with an average. If you’re not in a hurry and your anemometer has an averaging function, take a two-minute reading. Enter the wind speed and direction into your ballistic program, which will then calculate the necessary compensation.
Creating an offline wind cheat sheet is a bit more complex, but well worth doing just to understand the full scope of the problem. Start by creating a simple table that works with crosswinds—wind hitting the bullet at a 90° angle. Your ballistic app will generate a wind drift chart at set intervals (e.g. every 100 meters), which you transcribe into columns based on wind speed. See example in the photo. But real-world scenarios are more complicated. If the wind hits the bullet at a 45° angle, its effective force is about 71% compared to a full 90°. If you use a “12 o’clock” clock face model and average out directions, you’ll end up with the adjustment ratios shown in our graphic. Example: You’re shooting at 500 meters with a 6 m/s wind coming from the 5 o’clock direction. From your wind chart, you find that a full-value 3 o’clock wind requires 1.5 MOA of adjustment. Since wind from 5 o’clock affects the bullet at only about 50% strength, you’ll dial in half the correction—0.75 MOA. With a bit of practice, this process becomes intuitive and relatively quick. However, wind shear—sudden changes in wind direction or strength over distance—can ruin your reading. Your anemometer only measures wind at your position; 300 meters downrange, the wind could be completely different, and that’s harder to account for. Terrain features also influence wind—e.g., a slope or ridge may create dead zones—so local knowledge and experience are essential.


This chart allows you to estimate effective wind strength based on direction. Maximum effect occurs at 3 and 9 o’clock; minimum at 12 and 6 o’clock.
Author's Pick
I personally use the Wind Wizard II anemometer by Caldwell, one of the few devices of this type on our market specifically designed for shooters. It’s a very compact and lightweight device (dimensions and weight not specified), yet durable enough to withstand rough handling and adverse weather conditions. You can select wind speed output in m/s, km/h, ft/min, mph, or knots, within a range from 0.8 km/h to 108 km/h—well beyond any conditions you’d actually shoot in. Press a button, wait three seconds, and you’re ready to start measuring. In addition to peak wind speed, the Wind Wizard also calculates average speed and ambient temperature in either °C or °F. I appreciate its automatic shut-off function when idle. Combined with low power consumption, this allows the CR2032 battery to last comfortably for an entire season. The controls are simple and usable even with gloves, and in low-light conditions, you can activate the backlight. Aside from the lack of direct pairing with ballistic apps, I have no complaints. The package includes a non-slip rubber case and neck lanyard. The price is 1,371 CZK, and in our region, the Wind Wizard II is available from STROBL.cz s.r.o. More details at strobl.cz or the manufacturer’s site at caldwellshooting.com.
In Practice: Marginal Differences
The good news is that in real-world conditions, many of the factors discussed above tend to balance each other out. When shooting at high altitudes, for example, air pressure decreases—but so does temperature and humidity—so the overall effect is often partially offset. Again, it’s also a question of whether you’ll actually notice the difference at all. Up to now, all examples have assumed a distance of 910 meters (1,000 yards), which only a small fraction of hunters ever attempt. That range was chosen for clearly demonstrating small differences, but let’s now consider some more realistic cases at 450 meters. At 20°C and 400 meters elevation, bullet drop is 128 cm. Same location, but in mid-winter at -20°C? Drop increases to 133 cm. At 35°C? It’s 126 cm. And if you reward yourself at the end of the year with a chamois hunt in the Austrian Alps at -10°C and 2500 meters elevation? Compensation will be for 123 cm.
If you don’t hunt at distances beyond 300 meters, there’s truly no need to account for these nuances. But for hunters who want to (or must) reach out farther, it’s worth understanding what these effects are—and possibly factoring them into your corrections.

Example of a bullet drop chart at various distances.
Photo credits: Author’s archive
Author: Tomáš Prachař
Originally published in the magazine Lovec by Extra Publishing


