Steepest angle of a velodrome is 42 deg relative to the world. Cyclist speed is 35mph. Derive relationships for the ideal lean angle of a rider relative to the ground based on the velocity and track's turn radius. Ideal lean angle means no need to steer. Now find that ideal angle if turn radius is 80 feet, the female cyclist and bike weigh 150 lbs together, CG is 1.2 yards from bottom of the tire to the CG.