The equilibrium pole tide of the anelastic earth and its effect on the Chandler wobble

Astronomy and Astrophysics – Astronomy

Scientific paper

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Anelasticity, Chandler Wobble, Earth Mantle, Tides, Earth Rotation, Perturbation Theory, Rheology

Scientific paper

According to the perturbation principle of the Love numbers and load Love numbers, the perturbation of mantle anelasticity on the equilibrium pole tide of the elastic Earth and its effect on the period and Q value of the Chandler wobble are discussed by using the elastic Earth model PREM and Zschau's mantle rheology model. Results show that the perturbation of mantle anelasticity decreases the amplitude of the equilibrium pole tide of the elastic Earth by about 1.4 percent, and induces a small phase advance. Its effect on the Chandler wobble is much larger than that of the non-equilibrium part of the pole tide, but is still in the error range of the present observed values. The theoretical period and Q of the Chandler wobble are 434.8 days and 71 respectively for an elliptical and rotating Earth which has an anelastic mantle, a fluid core, and an equilibrium pole tide. This is in good agreement with most of the astronomical observations.

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