A Theorem of Keplerian Kinematics

摘要

Theorem: Any particle experiencing both uniform translation and uniform rotation in a plane will follow a trajectory that respects the three laws of Kepler. This article demonstrates this Theorem, and discusses some of its consequences, one of which is Newton's postulated attraction, and the subsequent centripetal acceleration due to the rotation velocity. However, despite the fact that the reality of the geometry cannot be ignored, a stand-alone theorem cannot pretend to replace the complete mechanics.