In this paper, the dynamic characteristics of the slipper are investigated analytically for the purposes of predicting the phenomenon of slipper tipping without the use of laboratory techniques. In particular it is shown that slipper tipping result from the reciprocating inertia of the piston / slipper assembly as well as the centrifugal inertia of the slipper itself. Based upon a slipper tipping criterion, it is further shown that the worst tipping conditions occur at top dead center when the piston is moving from the discharge port to the intake port of the pump. In this region a combination of a pressure force and a force from the hold-down device may be used to guarantee successful operation of the pump. The required magnitude of these forces is shown in a closed form as a function of operating conditions which provides the design engineer with useful guidance for optimizing the overall design of the slipper and its hold-down device.