Measurements of the Mass and Width of the $D_1(2420)$ and the $D_2^*(2460)$

The copious inclusive production of charm mesons in the BaBar detector at the PEP-II $B$-factory enables detailed investigation of the spectroscopy of charm meson states decaying to a $D^*$ and at least one pion. We will present preliminary high precision measurements of the mass and width values of the $D_1(2420)$ and the $D_2^*(2460)$, observed in the decay to $D^*\pi$.