Polar motion excitation by variations of the effective angular momentum function: considerations concerning deconvolution problem.

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In the recent investigations concerning atmospheric excitation of polar motion the formulation of Barnes et al. (1983) is usually applied, with excitation expressed by the effective angular momentum (EAM) function χ. The author addresses here two problems which are important in the analysis of rapid perturbations with periods down to a few days: (1) the EAM function χ differs from the excitation function ψ used in the classical polar motion equation of Munk and MacDonald (1960), (2) the changes in earth orientation are expressed in both these equations by the coordinates of the instantaneous rotation pole while most of the geodetic measurements refer to the Celestial Ephemeris Pole (CEP). The definition of the CEP is specified here to the form enabling the derivation of the equation describing polar motion of the CEP. The author discusses also how the deconvolution problem for polar motion can be solved by the Kalman filtering method combined with autoregressive modeling of the excitation process. The complete filter equations are computed and the observability conditions are derived.

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