Nonlinear stochastic correlation models for the pole’s motion of a deformable Earth |
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| Authors: | Yu G Markov I N Sinitsyn |
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| Institution: | (1) Moscow State Aviation Institute, Moscow, Russia;(2) Institute for Problems of Informatics, Moscow, Russia |
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| Abstract: | A combined stochastic correlation model for the pole’s motion of a deformable Earth is constructed using the data of the International Earth Rotation Service and dynamical Euler equations taking into account tidal deformations. The deterministic component of the model describes the main regular dynamical effects, while its stochastic component describes irregular effects obeying statistical laws. Linear differential (requiring solutions of ordinary differential equations), and finite (assuming integrated characteristics) correlation models are constructed for both Gaussian and non-Gaussian random parameters. The stochastic oscillations and trend of the Earth’s proper angular velocity are analyzed, as well as nonlinear stochastic oscillations and the trend of the pole. This approach can be considered quite novel. |
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