It sounds like you are very well educated and you are planing on doing the calculations and making the attempt. Could you also post you A/C # so that we can all get the details on your attempt on www.ntsb.gov, I do not have the back ground in mathematics that you have. But what I do have is 12000+ hours(accident + incident free) and almost half of that in light aircraft with about 700 of that in 152/150s and I think that you are asking for big trouble. stay out of the trees!!!