awesome thanks for the recommendation

my only worry about curve fitting is that the recommended function won't generalize to other loop configurations

I'm admittedly hazy on the exact work you're doing, but if you mean the other configurations will change the curve, you could try (1) tweaking your program to output tables of a few examples (2) using curve-fitting app to get a fit for each table (3) looking if it found an equation that matched all of them (making a note, for each example, of which coefficients it plugged into the equation).

that sounds like something i haven't tried and may yield results

gracias