The governing equations relating the flow properties across an oblique detonation wave were reconsidered and modified by accounting for different heat capacity ratios on both side of the detonation wave. Using these equations, modified two- and three-shock-theory-based models were developed and applied to the reflection of detonation waves. The present model makes it possible to investigate the behavior of detonation wave reflections near and at the Chapman-Jouguet (CJ) point. It was shown that the properties of detonation waves near the CJ point are very sensitive to the value of the overdrive. The analytical results were compared with experimental and numerical results from various laboratories, and in general, good agreement was obtained.