Oscillatory Processes in the Motion of the Earth’s Pole at the Frequency of the Precession of the Moon’s Orbit

Abstract

To clarify the autonomous model for predicting the motion of a pole needed in navigation tasks, the effects of synchronization of the oscillatory process of a pole with the motion of the Earth-Moon system are investigated. Based on the use of the two-frequency model of Chandler and annual oscillations with constant coefficients and the processing of astrometric measurement data, an amplitude-frequency analysis of the observed oscillatory process of the pole was carried out. An approach to the study of oscillatory processes in the motion of the earth’s pole is proposed on the basis of joint consideration of the Chandler and one-year components. It is shown that within the framework of such an approach one can find a transformation to a new coordinate system in which the pole motion is synchronized with the precession of the lunar orbit.