Mechanical model of the perturbed motion of the earth with respect to the barycenter

Klimov, D. M.; Акуленко, Л. Д.; Kumakshev, S. A.

doi:10.1134/s1028335813110116

Cited by 8 publications

(1 citation statement)

References 5 publications

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“…12 The basis of astrometric studies is the dynamic theory of the Earth's rotation relative to the center of mass. 13,14 It was noted in Klimov et al 15 that, from the standpoint of theoretical mechanics, the problem of analyzing the process of oscillation of the Earth's pole is similar to the problem of studying the motions of the gyroscope axis under the action of perturbation torques of forces and taking into account viscoelastic deformations in the quasistatic approximation.…”

Section: Introductionmentioning

confidence: 99%

Perturbed rotational motions of a spheroid with cavity filled with a viscous fluid

Акуленко

Leshchenko

Paly

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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We consider a motion about the center of mass of a spheroid with a cavity filled with a viscous fluid. It is assumed that the velocity of the fluid is sufficiently high, so the corresponding Reynolds number is small. The torque of forces acting on the body by the viscous fluid in the cavity is determined by the method developed in the works of F.L. Chernousko. Asymptotic approach permits to obtain some qualitative results and to describe nonlinear evolution of angular motion using simplified averaged equations and numerical solution.

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Section: Introductionmentioning

confidence: 99%

Perturbed rotational motions of a spheroid with cavity filled with a viscous fluid

Акуленко

Leshchenko

Paly

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

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Model of Oscillations of Earth’s Poles Based on Gravitational Tides

Kumakshev

2018

Springer Geology

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Prediction of Earth polar motion in short time interval

Anosova

Filippova

Крылов

et al. 2022

MATEC Web of Conferences

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The accuracy characteristics of mathematical models of the Earth pole motion in a short time intervals have been investigated. The modeling was carried out using two approaches: a numerical-analytical model of the Earth’s rotational motion relative to the center of mass, based on the weighted least squares method and a neural network model for predicting the Earth pole motion. A comparison is made between the standard deviations of short-term forecasts of the Earth pole motion for 1–2 days according to the developed models and the standard deviations of forecasts published by the International Earth Rotation Service in Bulletin A. The models under consideration did not use data smoothing. The model based on neural network approach showed a higher accuracy of short-term forecasting.

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Mechanical model of the perturbed motion of the earth with respect to the barycenter

Cited by 8 publications

References 5 publications

Perturbed rotational motions of a spheroid with cavity filled with a viscous fluid

Perturbed rotational motions of a spheroid with cavity filled with a viscous fluid

Model of Oscillations of Earth’s Poles Based on Gravitational Tides

Prediction of Earth polar motion in short time interval

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