Can't really describe the science accurately but I experience this with the 150 LRAB's out of my 270wsm. They shoot consistently to about 1moa at 100m but have done .5moa at 1000m. I would have done more load development if I had only tried them at 100m but shot them at 1000m the same day to see what they would do...I decided I'd stick with that load after that!
Also once tried a plastic and alloy air rifle pellet from an air rifle (pneumatic with no recoil and I could watch the pellets all the way to the target), it had a bright green plastic rear end to it and I watched it spiral through the air as it was sent down range. The spirals became smaller further out until it seemed to come right and fly true past about 20 meters.
I have since made the assumption that some bullets shot at the lower edge of the stability window may start off with a bit of a wobble, but that this is somehow corrected as they get further down range.
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