  It is shown that the fine structure splittings of the $2 ^3P_J$ and $3 ^3P_J$
excited states in charmonium are as large as those of the $1^3P_J$ state if the
same $\alpha_s(\mu)\approx 0.36$ is used. The predicted mass $M(2 ^3P_0)=3.84$
GeV appears to be 120 MeV lower that the center of gravity of the $2 ^3P_J$
multiplet and lies below the $D\bar D^*$ threshold. Our value of $M(2 ^3P_0)$
is approximately 80 MeV lower than that from the paper by Godfrey and Isgur
while the differences in the other masses are $\la 20$ MeV. Relativistic
kinematics plays an important role in our analysis.
