The present invention is directed to a rotary engine power transmission system for use in vehicular as well as other applications. The power system includes a rotary engine or pump, which may be pneumatic or hydraulic in configuration. The power system includes components whose purpose is to convert rotational force into pneumatic or hydraulic pressure where that same fluid pressure can be reconverted back into rotational force. This conversion can be from a source to a driven component, or from the driven component back to the same source for use, for example, in vehicular applications for use. One purpose in a vehicular specific application is to convert rotational source energy into rotational power at the vehicles wheels, for acceleration, and to reverse this process to recapture deceleration losses.