Excitation of polar motion by earthquake displacement field

Computer Science – Numerical Analysis

Scientific paper

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Earth Planetary Structure, Earthquakes, Polar Wandering (Geology), Seismology, Terradynamics, Asymptotic Methods, Displacement, Earth Core, Earth Mantle, Numerical Analysis, Power Series, Runge-Kutta Method

Scientific paper

The excitation of Chandler motion by the earthquake displacement field is considered. Instead of the usual static equilibrium equations, the present analysis uses an improved set of equations proposed by Song and Zhao (1980), which guarantee continuity at the core-mantle boundary. In order to obviate the singularity at r = 0, asymptotic solutions are obtained by power series within a small sphere around the center. Outside this sphere, the equations are integrated by the Runge-Kutta method. The present equations give polar shifts approximately three times larger than those given by Dahlen's (1971) equations.

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