Assessment of the impact of large lithospheric plates on the Earth’s rotational regime

Earth Surface Processes, Geodynamics, and Subsurface Exploration

Authors

First and Last Name Academic degree E-mail Affiliation
Anatolii Tserklevych Ph.D. anatolii.l.tserklevych [at] lpnu.ua Lviv Polytechnic National University
Lviv, Ukraine
Yevhenii Shylo Ph.D. yevhenii.o.shylo [at] lpnu.ua Lviv Polytechnic National University
Lviv, Ukraine
Olha Shylo Ph.D. olha.m.shylo [at] lpnu.ua Lviv Polytechnic National University
Lviv, Ukraine
Bohdan Shchur No bohdan.i.shchur [at] lpnu.ua Lviv Polytechnic National University
Lviv, Ukraine

I and my co-authors (if any) authorize the use of the Paper in accordance with the Creative Commons CC BY license

First published on this website: 03.07.2026 - 12:34
Abstract 

This paper examines the problem of assessing the current influence of large lithospheric plates on the planet’s rotational regime. For each plate, the components of the inertia tensor are calculated using exact analytical integrals in spherical polar coordinates. From the law of conservation of angular momentum, the change in angular velocity  and the angle of rotation axis displacement are derived . An analytical assessment is carried out for the three largest plates – the Pacific, Eurasian and North American plates – using the integrated average parameters of the global models CRUST1.0 and LITHO1.0 and the polygonal plate boundary model PB2002. It is shown that the individual static inertial contributions of the plates are of the order of  ~10⁻⁹–10⁻⁸ and  ~10⁻⁴–10⁻² angular seconds, which is two to three orders of magnitude smaller than the effects of glacial isostatic rebound (GIA), but is a necessary fundamental factor in the formation of the total polar wobble. A practical algorithm for performing calculations based on open-access datasets is described.

References 

Bird, P. (2003). An updated digital model of plate boundaries. Geochemistry, Geophysics, Geosystems, 4(3), 1027. https://doi.org/10.1029/2001GC000252

 

Evans, D.A. (2003). True polar wander and supercon tinents. Tectonophysics, 362, 303—320. https://doi.org/10.1016/S0040-1951(02)000642-X.

 

Laske, G., Masters, G., Ma, Z., & Pasyanos, M. E. (2013). Update on CRUST1.0 — A 1-degree global model of Earth's crust [Conference abstract]. Geophysical Research Abstracts, 15, EGU2013-2658.

 

Manк, W., & MacDonald, G. J. F. (1960). The rotation of the Earth: A geophysical discussion. Cambridge University Press.

 

Menard, G. W. (1966). The Geology of the Pacific Ocean Floor. Mir.

 

Meshcheryakov, G. A., & Tserklevych, A. L. (1987). The Gravitational Field, Shape and Internal Structure of Mars. Naukova Dumka.

 

Pasyanos, M. E., Masters, T. G., Laske, G., & Ma, Z. (2014). LITHO1.0: An updated crust and lithospheric model of the Earth. Journal of Geophysical Research: Solid Earth, 119(3), 2153–2173. https://doi.org/10.1002/2013JB010626

 

Tserklevych A. L. & Zayats O.S., (2012). The geodynamic evolution of the Earth’s and Mars’s shapes. Geodynamics, 2(13), 38–42. https://doi.org/10.23939/jgd2012.02.038

 

Tserklevych, A. L., Zayats, O. S., Shylo, Ye. O., & Shylo, O. M. (2018). Generation of the stressed state of the lithosphere of the Earth and Mars caused by the reorientation of their figures. Kinematics and Physics of Celestial Bodies, 34(1), 19–36. https://doi.org/10.3103/S0884591318010051