On the calculation of low-frequency oscillations of the Earth's core.

Physics

Scientific paper

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Earth Core: Oscillations, Earth Core: Nutation

Scientific paper

The problem of calculation of low-frequency oscillations of an ideal rotating compressible fluid is investigated. An original method of solving such a problem based on using characteristic functions of the Poincaré operator is proposed. An efficient scheme of calculation of characteristic numbers and functions of the Poincaré operator is derived. A high rate of convergence of the method is shown. The liquid compressibility is found to have an essential influence on the theoretical nutation amplitude.

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