A correlation model for oscillations of the Earth’s pole with parametric perturbations

• Published in: Astronomy reports Vol. 52; no. 6; pp. 507 - 516
• Main Authors: Markov, Yu. G., Sinitsyn, I. N.
• Format: Journal Article
• Language: English
• Published: Dordrecht SP MAIK Nauka/Interperiodica 01-06-2008; Springer Nature B.V
• Subjects: Astronomy; Earth; Observations and Techniques; Physics; Physics and Astronomy; Statistical models; 95.10.Jk
• ISSN: 1063-7729; 1562-6881
• DOI: 10.1134/S1063772908060073

A differential correlation model for oscillations of the Earth’s pole is constructed. The model has gravitational-tidal, additive and parametric, slowly varying, harmonic (at the Chandler frequency and double this frequency), and random Gaussian, broadband perturbations. Special attention is paid to the analysis of trends and the amplitude-frequency characteristics of stochastic oscillations of the Earth’s pole. Numerical simulations show that first-approximation equations can be used to estimate the correlation characteristics of oscillations of the Earth’s pole to within 10%. The results of the model are compared with the results of statistical modeling of oscillations at the Chandler frequency. The model represents a base of informational resources for analytical modeling of the motion of the Earth’s pole over intervals of three to five years.