Yeah, r is taken into account. But I guess the point of my input was to highlight that r (chassis rotational velocity) does not equal ay/V, or even an/V. Omega (the rotational velocity of the velocity tangent direction)doesis equal to an/V, and to find r from omega you need to remove the body slip velocity. So yeah, you can take r into account, but you need to ensure you have the right value of r.

Also, while small angle approximations might make sense if calculating the slip angles once or twice, I would hazard to suggest that if you are going to determine a Cn-Ay or Az-An diagram it may be worth the extra computational expense to make use of proper cosines et al.