I ordered a new pellet gun for small game hunting(squirls and maybe rabbits). Its a Crossman recruit that's 645 fps with pellets and I will be using .177 caliber Crossman premier hollow point hunting pellets. Anyway I would like to know at what distance will the pellets start to shoot lower that what you aim for. The gun. Also my gun has a muzzle fpe of 7.6 so what will the fpe be at about 10-15 yards(I will be hunting at this distance because my gun isn't super powerful).
At what distance will pellets start to go lower
- Thread starter AirgunFun
- Start date
I depends on the gun. I would recommend getting hawke chairgun pro on your computer or phone. Just put in all the info and it will show you everything you need to know
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Depends on your sights/scope. The pellet starts dropping the instant it leaves the barrel. If your sights/scope is set to hit the center of the target at 25 yards, then the pellet is being fired up at angle and is dropping to a horizontal position (from the muzzle) at 25 yards and will continue to drop lower and lower after that. It looks something like this...
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If you are only shooting 10-15 yards it won't really be a problem but the best way is to just shoot some paper and see where you hit.
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This is a nice little program. With your details loaded in these are the results.
Look under path for the trajectory and energy for fpe.
data:image/png;base64,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
Look under path for the trajectory and energy for fpe.
data:image/png;base64,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I've read that it only takes about 5 FPE to humanely kill a rabbit. It can't take much more than that because the Brits kill lots of rabbits with guns that only deliver 12 FPE at the muzzle.
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5 fpe is the minimum, which the gun in question just delivers.
Shot placement is absolutely critical, it will have to be a perfect brain shot every time.
Shot placement is absolutely critical, it will have to be a perfect brain shot every time.
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