Swing test the rocket to check stability.
The problem with that is I have to chop the fins, then test. There's no turning back if the rocket flies backward or end over end. I'd have to replace the fins completely if I ever want to launch this rocket again.
I'm leaning toward your idea of the cantilevered fin (no overhang), but testing it with OpenRocket simulations, specifically, the Stability vs Time plot, with a fourth axis for Pitch Rate.
In order to get data I can use, I need to establish a benchmark with an actual flight, looking at the smoke trail. It's subjective, I know, but also easy to see what's going on with white smoke against a dark blue sky.
Below are four stills from the ascent of the rocket on a G74, with the original fins. Conditions on the lake bed were 2 mph wind, 90 degrees temp, 2800 feet ASL.
A little bit of waver, but overall, pretty straight.
Here is the OR simulation plot for the flight with the same conditions plugged in:
The first deviation in pitch is ~9.25 degrees. OR's margin of stability is 1.72 cals. This will be my benchmark for comparing other fin shapes.
Next is the fin in its present state, which I've been referring to as 'new fin'. Same motor and launch conditions. This is the plot:
First deviation in pitch is down to ~8.5, with CG and CP locations still looking good. OR's margin has dropped to 1.6 cals.
Now for the cantilevered shape
@lakeroadster suggested. I'm calling it 'minimum fin', mainly because it can't get any smaller. Same motor, etc.
The first deviation in pitch has dropped to 6, which is interesting, because OR's margin is down to 1.19 cals. And this has caused me to rethink my approach to margins of stability.
From the start of this build, I knew the rule of thumb is 'between 1 and 2 calibers'. There are exceptions (long, skinny rockets and short fat ones). I settled on 1.5. No particular reason.
I know also that the higher the margin is, the more likely it is that the rocket will weathercock. And I think that's what I'm seeing in these plots—straighter ascents when the margins are lower.
But how low can I go? The G74 is the smaller of the two motors I've launched this on. With the G80 loaded, OR's margin drops to .93. Six hours ago, I would have run from that screaming. Then I plotted it:
Initial pitch has dropped to ~5.6. CG and CP locations still look good.
So, this rocket, evidently, does all right with a sub-1-caliber margin of stability, at least as far as I can see from these simulations. Does anybody see flaws in my methods or reasoning? Because, in the interest of reducing flutter, I'm ready to cut these fins to the minimum shape, and get this repair out of the way.
And speaking of flutter, I plugged the 'minimum fin' numbers into the NACA spreadsheet using John Cipolla's approach to semi-span, and came up with a UF of 453 mph. It doesn't give me much of a safety margin. But it doesn't require fin lamination to increase thickness either. And that is good news to me.
Anyway, sorry for the long-winded blah, blah, blah, but I do that when I get down into the weeds. I'd appreciate any feedback I can get. Thanks much.