Calculating trajectory when sighted in on incline

[Fizz]

Brought out my .22 Springer - in order to get any distance at my house, I have to shoot from the walkway on the side into the hill in my backyard which is fairly steep. Thus, I'm shooting up at ~23 yards at approximately 14 degrees which where I currently have it zeroed.

Is there any math I can use to calculate / estimate my trajectory/hold at a specific distances?

I would simply move the target closer and do some test shots, but I necessarily change the angle pretty dramatically - the closer the target, the more level the shooting plane.

I'd like to know hold over/under at a given angle/distance, but I don't readily have a way to isolate variables. Probably overthinking this.

[707electrician]

Target distance multiplied by the cosine of the angle of the shot

[CessnaDriver]

https://www.amazon.com/Mildot-Enterprises-Master/dp/B008WTWKEA

The Mildot Master is an analog calculator designed along the principle of a slide rule, utilizing logarithmic and inverse logarithmic scales developed specifically for performing the following operations: Rapid and simple calculation of range to target, based on a measurement of the target with a mildot reticle, by aligning the estimated target size directly opposite the mildot measurement, and then reading the range at an index mark. Rapid and simple calculation of the amount of sight correction necessary to compensate for bullet drop and/or wind drift for a given range, enabling the shooter to determine either the equivalent telescopic sight adjustment (minute-of-angle, or MOA) or the equivalent hold-over (mils), by reading equivalents in both MOA and mils directly opposite the bullet drop/wind drift figure. Additionally, angle of fire for uphill or downhill shots can be accurately measured, and the up/down compensation can be closely calculated to reduce the errors such shots can induce.

[Rizzo]

Brought out my .22 Springer - in order to get any distance at my house, I have to shoot from the walkway on the side into the hill in my backyard which is fairly steep. Thus, I'm shooting up at ~23 yards at approximately 14 degrees which where I currently have it zeroed.

Is there any math I can use to calculate / estimate my trajectory/hold at a specific distances?

I would simply move the target closer and do some test shots, but I necessarily change the angle pretty dramatically - the closer the target, the more level the shooting plane.

I'd like to know hold over/under at a given angle/distance, but I don't readily have a way to isolate variables. Probably overthinking this.

Well, it is a math issue (trig.).
Different angles will give different results.

If you know your angle and have a scientific calculator, you can punch in your numbers and get your result.

My advice is to buy a range finder that does it all for you.
A push of a button on the range finder will give you the distance and also the "actual" distance when a slope is involved.
Around $100.00 and you'll use it more than you think.
Especially on "straight" shots.

[Fizz]

https://www.amazon.com/Mildot-Enterp.../dp/B008WTWKEA


The Mildot Master is an analog calculator designed along the principle of a slide rule, utilizing logarithmic and inverse logarithmic scales developed specifically for performing the following operations: Rapid and simple calculation of range to target, based on a measurement of the target with a mildot reticle, by aligning the estimated target size directly opposite the mildot measurement, and then reading the range at an index mark. Rapid and simple calculation of the amount of sight correction necessary to compensate for bullet drop and/or wind drift for a given range, enabling the shooter to determine either the equivalent telescopic sight adjustment (minute-of-angle, or MOA) or the equivalent hold-over (mils), by reading equivalents in both MOA and mils directly opposite the bullet drop/wind drift figure. Additionally, angle of fire for uphill or downhill shots can be accurately measured, and the up/down compensation can be closely calculated to reduce the errors such shots can induce.

My pellet scope is a simple crosahairs. I wish I hate a mil dot reticle..

[AAShooter]

Simply stated. Drop will be based on the horizontal distance to the target (22.3 yards), ignoring the vertical rise. So it will be shorter than the straight line measurement to the target (23 yards). As a result, you will shoot high if you don't correct for the angle. At that distance and angle, I doubt you will see much difference.

[kcheung2]

A lot of ballistic calculators include incline angles in their calculations. I know Strelok does, and it's a free app on Android and $5 on Apple. But at those distances & that small of an angle, I doubt it makes much difference.

[Featureless]

Well all of that is fine and dandy so where is my rifle zeroed before any of this works?

[subscriber]

Well all of that is fine and dandy so where is my rifle zeroed before any of this works?

On the target.




Your sight above bore height has a large effect on the actual zero you will need to use. Ballistic tables and calculators include that parameter.

[k1dude]

IIRC, the ChairGun app might help.

[TKM]

Up or down, aim low.

[AlexRod85]

up.

[wpage]

Low or on target for that range.