I am always a bit dubious when mathamatics and any form of simulation is used to prove how a technology in the real world actualy works Chris.
This is not a criticism of your posts at all.
I found the down side of taking the data gained as absolute, when Glasgow University did a computer simulation on how an autogyro flys and the CAA used their data to establish the current flying regulations for this aircraft type.
Nobody at the CAA has had any flight experience on autogyros and neither had Glasgow University. They ignored the previous data that we had gained from a full certificated autogyro development program under the old Ministry of Aviation from complete actual flight data recorded officialy using the 'Concorde' testing facility and other then official proceedures.
The present regulations on the CAA books for autogyro flight are totaly incorrect and dangerous IMO.
They have even agreed to let us undertake a new program to establish true regulations at our expense.
So you see why I am never completely happy with just math or simulation.