  The Dalitz plot distribution of $B^0 \rightarrow \bar{D}^0 K^+ \pi^-$ decays
is studied using a data sample corresponding to $3.0\rm{fb}^{-1}$ of $pp$
collision data recorded by the LHCb experiment during 2011 and 2012. The data
are described by an amplitude model that contains contributions from
intermediate $K^*(892)^0$, $K^*(1410)^0$, $K^*_2(1430)^0$ and $D^*_2(2460)^-$
resonances. The model also contains components to describe broad structures,
including the $K^*_0(1430)^0$ and $D^*_0(2400)^-$ resonances, in the $K\pi$
S-wave and the $D\pi$ S- and P-waves. The masses and widths of the
$D^*_0(2400)^-$ and $D^*_2(2460)^-$ resonances are measured, as are the complex
amplitudes and fit fractions for all components included in the amplitude
model. The model obtained will be an integral part of a future determination of
the angle $\gamma$ of the CKM quark mixing matrix using $B^0 \rightarrow D K^+
\pi^-$ decays.
