Learning ballistics analytically without the aid of ballistic equipment other than a calculator. Learning to use the golden ratio to M.A.P.S* the ballistics of your weapon platform. Also using your scope to range estimate and holdovers or come ups for bullet placement at extreme ranges. A bullet does not know how far it drops nor does it care, BUT YOU DO! It is my hope and goal to not only educate others on this mathematical wonder of bullet drop and Fibonacci AKA the Golden Ratio but continue to educate myself in this adventure. ©

*Mathematically Analyze Precision Shots
  How does MOA and MIL relate to each other? MOA is based off of inches at 100 yards it is more convenient to use 1 inch rather than 1.047197580733"BUT if you multiply this number by 3 you get 3.141592...... PI.    The radian is a rotational measurement which is equivalent, in use, to degrees. It tells you how far around a circle you have gone, 2 PI radians = 360 degrees. Using 3.14 as the value of PI, 6.28 radians take you all the way around a circle.Both units of measure are based off of PI 3.14! Its really interesting when you realize that PI, the golden ratio and Fibonacci have an interesting link with each other. How can this be proven in ballistics? well prove it to yourself, Here's how.
 Zero your rifle at 100 yards, ( Don't worry about being 2 or 3 inches high you can do that later) 
 Take four shots at 200 yards measure the average drop, once you have that clarified simply multiply by 1.618 you should find your bullet drop will impact at about 225 yards next multiply your 225 yard drop again by 1.618 you should find this will impact at 275 yards do this process again you should find a 325 yard impact, again 375 yards, still not convinced? try it 3 more times and you should see your last calculation impact at a little high at 600 yards probably and impact of 610-615 yards. Now this isn't splitting hairs shooting but it puts you where you need to be without guessing where to hold. Now to shoot what I call novelty yardages that takes a different formula, still using 1.618.
If you found this hard to understand it might put you at ease to know that Grouse Wing Camo and Sun Optics USA paired up to bring you a first focal plane scope and reticle that can help you range estimate in feet for example if you are measuring an Elk from their feet to the top of their shoulder on average an elk is 4 and 1/2 feet so he would be 450 yards. a 5 foot target would be 500 yards using the set stadia line makes for quick measurements and Holdovers. be on the look out for it this fall this may help a lot of marksmen find that groove in long range shooting.

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