<div class='quotetop'>QUOTE (Tom @ Jun 21 2008, 02:09 PM)
<{POST_SNAPBACK}><div class='quotemain'>Riders lean to the inside of their bikes to lower the resultant C of G so they can turn with the lowest possible banking angle. This gives more grip and allows suspension to work better leading to faster times.
A bike with a raised C of G will require a higher banking angle for an equivalent corner situation
The effect of minor (motogp size) changes in vertical C of G will have a minimal significance, especially compared to rider styles and tyre profiles etc
A motorcycle rolls about its tyre contact patch with the C of G acting between the effective pivot and the input (rider). Moving the C of G closer to the pivot (lower) increases leverage and will make a bike easier to move from side to side.
A Lower C of G gives more stability as the effective position of the weight stays closer to the vehicles centre line than a higher C of G for an equivalent banking angle
The most significant difference the C of G makes vertically speaking is a bikes pitch sensitivity. Remember Rossi requesting the engine was raised on the NSR to slove the bikes long standing understeer.
So apparently, centripetal force doesn't exist in your model.
I agree that bike pitch is important, but a bike doesn't turn by lofting its front wheel (pitch). It turns for a variety of reasons, the most important of which is that centripetal force at the front is on a different vector than centripetal force in the rear.
Centripetal forces are rotational around the vertical axis, that's still yaw, even when a bike is on its side.
Rossi raised the COG to help load the rear. This meant the rear tire was applying the same force on a greater mass and greater inertial force. Loading the rear wheel does affect the pitch of the bike, but more importantly it changes the vector of the centripetal force at the rear.
The perceived feeling to the rider is that the front is pivoting around the back. Like you say it corrects understeer by altering pitch, pitch alters the vector of the force applied by the tires.
Obviously, a bike with a raised COG doesn't require more lean to turn because as you've pointed out, raising the COG corrects understeer by altering pitch and improving yaw, while simultaneously counteracting the inertial forces that are trying to stand the bike up.