One of the more common questions shooters face when shooting is why do my arrows wobble in flight? Arrows that are not properly tuned or matched to the bow can suffer from inconsistent and erratic flight patterns, which can greatly reduce their accuracy. Fortunately, many of these issues can be resolved by re-fletching, adjusting the arrow spine, and consulting with a professional archery technician or instructor. Consistent practice and experimentation can also help identify any underlying problems and work to correct them over time.
There are a few different causes of arrows that wobble in flight, but the most likely culprit is an arrow spine mismatch. The spine of an arrow determines how much flex is put on the arrow during the shot, and it also determines how quickly the arrow recovers from that flex. An arrow with an under-spined spine will tend to hit right, while an arrow with an over-spined spine will typically hit left.
Another possible issue is a cam timing or rest asymmetry problem. This can often be easily diagnosed by shooting a piece of paper. If you are unable to shoot a perfect bullet hole through paper, you most likely have an equipment problem (assuming your form is on-point).
It's also important to remember that when tuning an arrow, never make any adjustments based on the results of a single arrow. Instead, base your adjustments on the average of several arrows, especially when working with wood arrows where spine consistency and straightness can be an issue.