How to Estimate Range and Wind. Pseudonym Sniper
of impact.
Environmental Factors Influencing Trajectory
The trajectory (see above for definition) of your bullet can be influenced by a number of Environmental factors and you must be aware of these and how they affect your bullet’s trajectory to ensure that your first round is on target and effective.
The most obvious factors are gravity and drag.
Gravity is a constant factor and the result is that as soon as your bullet leaves the muzzle, gravity begins to pull it towards the earth. This requires the shooter to use the elevation adjustment drum or hold over techniques to engage long range targets. At extended ranges, this may mean that the line of departure actually intersects with the light of sight, allowing the bullet to travel in an arc, with gravity bringing the bullet back down onto the intended target.
Drag is essentially the effect that the atmosphere has on your bullet during its flight, causing it to slow. Factors influencing drag are temperature, altitude, humidity and wind. I will discuss wind later in the book.
In regards to temperature, the higher the temperature, the less dense the air. As the air is less dense, the drag on the bullet is less. This can result in a higher point of impact.
A change in altitude can affect your trajectory also.
For example, an increase in altitude results in a reduction in air pressure and air density. This increases the bullet’s efficiency, as there is less drag, which in turn results in a Point of Impact (POI) that is higher than the Point of Aim (POA).
Humidity is another factor that can influence trajectory.
Humidity varies along with the temperature and altitude and affects the trajectory in the following manner: when the humidity increases, the air is less dense, and so the Point of Impact is higher; when the humidity decreases, the air becomes more dense and so the Point of Impact drops.
Q.) With all these environmental factors in play, how can you best estimate your bullet’s trajectory?
A.) Density Altitude.
Density Altitude
Density Altitude is the most accurate method of judging a potential shift in trajectory.
Wikipedia defines Density altitude as“the altitude in the International Standard Atmosphere at which the air density would be equal to the actual air density at the place of observation, or, in other words, the height when measured in terms of the density of the air rather than the distance from the ground. ‘Density Altitude’ is the pressure altitude adjusted for non-standard temperature.
Both an increase in temperature and, to a much lesser degree, humidity will cause an increase in density altitude. Thus, in hot and humid conditions, the density altitude at a particular location may be significantly higher than the true altitude”.
So, essentially, Density Altitude is the actual density of the air at your location. It is a direct representation of the environmental conditions that the bullet “feels” like it is flying through.
A Kestrel Weather Gauge is a great tool for getting this reading as it takes into account the temperature (both true temperature and ISA standard sea level temperature), the atmospheric pressure (both true atmospheric pressure and ISA standard sea level atmospheric pressure) and the humidity.
Once you have the Density Altitude figure, you can enter it straight into your Ballistic Software or use a Ballistic table that charts Density Altitude to get your firing solution.
You can also calculate the Density Altitude manually; however, I won't be covering how to do so in this book. The calculation does not take into account humidity, and as such, it is not as accurate as using a Kestrel Weather Gauge to determine the Density Altitude.
If you would like to know how to calculate Density Altitude manually, take a look at the following article by Linden B. Sisk:
http://www.arcanamavens.com/LBSFiles/Shooting/Downloads/ManualDA/
Linden also describes how to create a Ballistic table using Density Altitude in the following article:
http://www.arcanamavens.com/LBSFiles/Shooting/Downloads/DA/
I suggest doing this initially to give yourself a generic Ballistic table that will give you a good indication of the change in Trajectory based on any Density Altitude changes.
Once you have collected enough data of your own, use it to produce your own Density Altitude Ballistic table as it will be more accurate than the "generic" one as the data is specific to your rifle and ammunition.
I suggest checking all of your data tables if you change ammunition lot numbers or type.
As a shooter, it is your responsibility to create and maintain a data book in which you record the temperature, altitude, humidity and density altitude readings, in addition to the usual data.
In the following chapters, you will encounter numerous mathematical equations that are used by Military/LE Snipers and Long Range shooters. But don’t worry, as I have explained them all in detail and provided examples to help you to understand them.
Towards the back of this book, there is an Equation Quick Reference Guide page to help you find the equation you are looking for quickly and easily.
Minutes of Angle (MOA), Milliradians, and Mil Dots
Minutes of Angle:
A Minute of Angle (MOA) is simply an accurate way to measure angles.
Minutes of Angle correlate fairly well with the Imperial measurements.
This is because at 100y, 1 MOA is equal to 1.047” and at 1000y, 1 MOA is equal to 10.47”.
As such many shooters “round” 1 MOA down to 1”. This is usually referred to as Inches Per Hundred Yards (IPHY).
Although this makes it easier to translate between inches and MOA, it isn’t exact and so it can cause error when shooting long range if you don’t account for the difference between IPHY and true MOA.
The big takeaway here is that MOA and Imperial measurements ARE NOT the same!
We “understand” linear measurements and so we try to reference the angular measurements to them…but they aren’t the same thing.
Milliradians:
A Milliradian, usually referred to as a Mil or MRAD by shooters, is (just like MOA) simply an accurate form of measuring angles.
Milliradians correlate well to the metric system (meters, centimeters etc.). In fact they correlate better with Mils than inches do to MOA.
For example, at 100m, 1 Mil = 10 centimeters (cm) and .1 Mil (1 Click) = 1 centimeter (cm) and at 1000m 1 Mil = 1 meter and .1 Mil (1 Click) = 10 centimeters (cm).
Notice that no “rounding” takes place.
BUT…just like Imperial measurements and MOA, Milliradians and Metric measurements ARE NOT the same!
Reticles:
Although there are many rifle scopes and reticles available for shooters, the most common type employed by Military/Law Enforcement shooters is often referred to as a Mildot scope or MRAD scope.
A traditional Mildot scope has a reticle that has a series of dots along