Motion of a Symmetric Top Analyzed by Circular Motion

Abstract

When a symmetrical rigid top rotates on a plane, it will encounter resistance to prevent it from falling due to gravity. According to various theoretical inferences and practical proofs, the original vertical kinetic energy of the top is converted into horizontal kinetic energy because of unknown reason. I attribute this unknown reason to the horizontal circular motion of the top, and derive the specific movement trajectory of the top base on this, including three movement trajectories and their conditions.