Geometric-Cinematic Synthesis of Planetary Mechanisms

The simple planetary mechanism is geometrically synthesized by determining the four tooth numbers of the component wheels. There are four main conditions that if not obeyed the mechanism will be blocked, will work with interruptions, or will not work at all. (a) The first condition in the geometric-kinematic synthesis of a simple planetary is the uniform loading of satellites (satellite groups) (or the simultaneous engagement condition). (b) The coaxiality condition is the second one to be observed, otherwise, the mechanism is inoperative. (c) The condition for achieving a required input-output transmission ratio is the third major condition, which results from the necessity of conceiving the mechanism according to the required operation. (d) The fourth imposed condition is that of (good) neighboring (of the satellite groups), which is necessary for the larger satellites belonging to two groups of neighboring satellites not to be touched, which is why it is necessary to introduce the additional condition, neighborhood.