I've noticed, as many of you probably have, that the most over-stable discs tend to have a curved-domed upper surface with little flatness (e.g., look at the profile of a Wraith), while the most under-stable discs have a larger flat center region on the upper surface (e.g., look at the profile of a Stratus). As a physicist familiar with gyros and stuff, I know that the more over-stable discs must have more lift on the front of the disc than on the tail end of the disc at high speeds relative to the more under-stable discs...this is what causes the disc to precess/turn in different ways in flight. This knowledge, combined with the flatness observation, means that stability must have a lot to do with the extent of the flat region on the top of the disc and the aerodynamics of lift at the front vs. back of the disc in flight.
My question is this...what is it, exactly, about the size of the flat area at the top surface of the disc that makes the tail lift relatively larger than the nose lift, and hence make it fly in a more under-stable way? Or vice versa, why does a more domed/curved upper surface without much of a flat area make the nose lift relatively larger, and make the disc fly in a more over-stable way?
I'm sure there must be a fairly simple explanation in terms of the aerodynamics, but I haven't stumbled on a simple reason myself.
My question is this...what is it, exactly, about the size of the flat area at the top surface of the disc that makes the tail lift relatively larger than the nose lift, and hence make it fly in a more under-stable way? Or vice versa, why does a more domed/curved upper surface without much of a flat area make the nose lift relatively larger, and make the disc fly in a more over-stable way?
I'm sure there must be a fairly simple explanation in terms of the aerodynamics, but I haven't stumbled on a simple reason myself.