The body‐point motion near an attracting center as a model of a hydrogen atom

Abstract We study the motion of a body‐point of a general type near an attracting center. The body‐point is a particle that occupies zero space, volume like a point mass. In contrast to the point mass, the body‐point has both translational and rotational degrees of freedom. Like a macroscopic rigid body, the body‐point is characterized by a mass and a number of moments of inertia. It is important to note that the body‐point of a general type is characterized by a larger number of moments of inertia than an ordinary rigid body. Due to the additional moments of inertia, the body‐point of a general type acquires dynamic properties that are fundamentally different from the dynamic properties of an ordinary rigid body. We study in detail a particular solution of the problem and show that, in this special case, the trajectory of the body‐point is a spatial curve located in the region of space close to the attracting center. We consider the motion of the body‐point of a general type near the attracting center as the classical analogue of an electron orbital in a hydrogen atom. The above‐mentioned particular solution is considered for the first time, and therefore, the theoretical results presented in this paper are novel.