+1 for flytie and Jingzy. I took so long typing this out that Jingzy got his reply in before me.
I am not particularly interested in studying the actual mathematics myself (not my favourite subject) but Rathcoombe sounds right to me.
Consider that every day animals and people are cut open for medical reasons, their organs are moved about slowly , hearts are even cut open, repaired, returned to their original position and sewed up again, and hopefully the patient is then restored to as normal a life as possible. The result being that they mostly live and get over the medical trauma
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So why do they live when shot animals die?
Fishermen know that when fishing for trout a 1lb trout can break a 6lb line by a ‘smash’ take where the trout takes the fly at high speed. Beach fishermen use a 50 or 60lb ‘shock leader when casting to avoid the much lighter main line (say15 to 20lb) line snapping under the high impact load of casting a 6oz weight. Climbers know that their ropes have different breaking strains for dead loads and imposed loads and if you have ever had your vehicle towed by an idiot who rather than taking up the strain slowly and smoothly but accelerates rapidly away from a standing start then you will have experienced a broken tow rope.
When a bullet passes through a block of ballistic gelatine, then depending on the size and shape of metaplat of the bullet and the speed of the bullet two cavities are produced, a permanent cavity, which depends on the diameter of the bullet's metaplat and a temporary cavity which depends on the speed of the bullet and the shape and diameter of the bullets metaplat. These results can be observed and I am certain that if you pushed a metal rod shaped like the final shape of a deformed bullet slowly through a block of ballistic gelatine then you would observe the same permanent cavity without a temporary cavity. Also the faster the any particular combination of metaplat and bullet travels then the more energy is transferred into the ballistic gelatine to create the temporary cavity
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If an animal is hit in the heart and lung area when the temporary cavity is very rapidly formed and then collapses the vital organs and the major blood vessels and nerves are rapidly displaced then depending on their individual strength/fragility/elasticity they will be undamaged, damaged or shattered.
Fragments of displaced bone and tissue blasted through vital organs obviously have an adverse effect and will kill an animal as will a bullet piercing a vital organ.
I am certain also that if the chest cavity is struck hard enough to compress the heart then a surge of blood pressure will be felt even out to the body’s extremities. If you don’t believe this think about people having their heart started again by mechanical means when it stops or just feel your pulse. I believe that the brain can be damaged by high blood pressure bursting blood vessels in it, similar to a stroke. It may be just enough to stun the animal to allow it to bleed out sufficiently to incapacitate it before it finally expires.
Ideally any shot in a vital area will have a combination of these factors to ensure incapacitation and a quick death.
To suggest that Rathcoombe’s theories mean that a deer shot in the haunch should die from ballistic shock is to misread it, however I have read that during the 100 days war between Finland and Russia some soldiers who were killed by tank fire had not been penetrated by the round , it had just been so close that it had brushed against their ski. Their bodies were bruised all over with no other visible sign of wounds (no post mortems were carried out it’s just that equipment was in short supply and therefore valuable). Never been in combat and can't speak from personal experience.
Bob