CHANDLERS MOTION OF THE EARTHS POLE IN TH E EARTH-MOON SYSTEM

A mathematical description of Chandler's component of the coordinates of the Earth's pole obtained from numerical experiments is compared to the existing analytic solutions. An idealized model of coupled oscill ations in the Earth-Moon system is considered. The solution to the pro blem of eigenfrequencies is obtained as a partial solution to the equa tions for coupled oscillators. Two known periods - draconic year (P-1 = 346.62 days) and the period P-2 = 433.6 +/- 5 days - are obtained as the eigenfrequencies of this system. As a period of the Earth's prope r oscillations we chose the magnitude of the pole's free motion obtain ed experimentally and close to that given in the Ware model (P = 403.4 +/- 5 days).