Re: How Much Movement Is Normal?
OP,
Here's what's it's all about: sight alignment and trigger control are supported by a steady position. There are three elements to a steady position: bone/artificial support, muscular relaxation, and natural point of aim. There are five factors to a solid position, butt-to-shoulder, stockweld (rest the full weight of the head on the comb), grip, non-firing hand, and elbows. The factors describe the relationship between the shooter, gun, and ground. Unless these elements and factors are properly considered to assure a consistent angle/arc effect, that's to say a consistent relationship between the bore at rest and the bore at bullet exit, you will not hit where aimed. Greater consistency will get better hits. And, if you can get your position consistent to a molecular level from shot to shot, you can expect to hit exactly where aimed, meaning zero displacement from point of aim and point of impact. The key to consistency is muscular relaxation. When you are relaxed you are comfortable. I know, it's hard to imagine how comfort has a role in good shooting. Most folks will simply muscle or force a relationship between the sight and target, using even more muscle to maintain the relationship. They think this work is what will help them get the job done. They perceive this is the way "snipers" do it, through brute strength and will, but, they're wrong.
To get a good start on a proper position, just shoulder the rifle without any consideration for the target. This is essential, as, if you are thinking about the target, letting it distract you, you will unconsciously steer the sight to the target using muscle. This is a bad start, precluding a good result. Once shouldered and sight alignment established, then adjust the NPA to get the hold you are seeking. Now, think about the whole position as you will need to rebuild it exactly for every shot. That's about all there is to it. Also, for best results from a bench, use a sandbag support with the non-firing hand placed between the handguard and bag. Use only enough grip there to control the rifle. Do not use a rear bag. And, when shouldering remember to bring the butt to the head not the head to the butt. There are reasons for doing all this stuff in the way I've instructed, but for now just try it out.
BTW, if you cannot rest the full weight of your head on the comb to get a sight picture where the eyeball is square to the eyepiece, that's to say if you find yourself lifting your cheek somewhat, you will need to stop everything and build up the comb with something expedient. This is important. If you do not have a good chipmunk cheek you will not get good results for a multitude of reason.
One more thing, wobble is not a the problem as most imagine it is. The important thing is to adjust NPA. This will minimize wobble. From there, trigger control can be manipulated to sync with wobble for a good hit. Also, since wobble error is not angular as the error from sight misalignment, it's not as important to make it perfect. Only in the context of target shooting for a high X count is minimizing wobble particularly interesting.