Fascinating. Here's some core reading in the subject:
Jobst Brandt wasn't cuddly but he was a rigorous Porsche engineer (he designed the Formula One disc brakes, descendants of which are still in use in cars pulling several G) who knew how to put his brain in gear. Many of you will of course have his book The Bicycle Wheel. Sheldon Brown often put the thornier questions to Jobst, balance being one of them:
http://sheldonbrown.com/brandt/gyro.htmlThe original study of the elements of bicycle balance was a typical British affair, operated on a cigarette budgetin the company carpark in the lunch hour by a Brit for a break from serious work, with results that everyone else has drawn on, often without recognition, for nearly half a century:
http://socrates.berkeley.edu/%7Efajans/Teaching/MoreBikeFiles/JonesBikeBW.pdf