Formalism of the relativistic dynamics of several point masses and orbit precession in the 'ball-point' problem

摘要

We use the Lagrangian formalism to study the relativistic problem of the dynamics of gravitation between a ball and a point in the framework of the Kozlov-Nikitin approach. The Lagrangian is invariant under the Poincaré group action. We use perturbation theory to establish the existence of precession of the point orbit.