  Using the factorization scheme for the nonleptonic $D \to V V_0$ weak
amplitudes, we classify all diagrams which arise in $D \to V \gamma$ decays and
calculate them with the help of the hybrid model which combines the heavy quark
effective theory and the chiral Lagrangian approach. Thus we determine the long
distance contribution to the amplitudes of Cabibbo allowed and Cabibbo
suppressed $D \to V\gamma$ decays. The calculation of the expected range of the
branching ratios of nine different $D \to V \gamma$ channels is compared with
results of other approaches. The present work establishes an increase of the
parity violating contribution in these decays in comparison with previous
analyses.
