Motion Of Bodies And Its Stability In The General Relativity Theory

Astronomy and Astrophysics – Astronomy

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General Relativity, Conservation Laws, Newton Method, Rotational States, Fundamental Problems And General Formalism, Nonlinear And Dynamical Symmetries, Newtonian Mechanics, Velocity, Acceleration, And Rotation

Scientific paper

This paper reviews the works by the Belarusian school investigators on relativistic motion and its stability for a system of bodies, each of which may have its own rotation, charge, and magnetic field of the dipole type. The corresponding Lagrangian and conservation laws are derived, several secular effects are predicted. For motion of bodies in the medium the secular effect of the periastron reverse shift is predicted as compared to the Mercury perihelion shift. The cause for the Pioneer anomaly is explained.

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