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Description
Features of deviation of circular trajectories in the central field in non-relativistic and relativistic cases are investigated. All potentials for which perturbed trajectories in the non-relativistic case are closed and asymptotically flat spherically symmetric metrics with closed perturbed orbits are found. It is shown that in the general theory of relativity there are metrics in which the frequencies of oscillations of perturbed orbits in all directions coincide, i.e. the Shirokov effect is absent. General formulas are obtained for the shift of the pericenter of perturbed orbits in the non-relativistic case and in the general theory of relativity. An estimate of the influence of the cosmological constant on the deviation of trajectories and on the Shirokov effect during rotation in the Schwarzschild gravitational field has been obtained.
