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Evolution of Rotational Motion of a Planet in a Circular Orbit Under the Influence of Internal Elastic and Dissipative Forces

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Abstract

In the framework of the model of M.A. Lavrentiev, the effect of internal elastic and dissipative forces on the rotational motion of the planet in a central gravitational field in a circular orbit is studied. The averaged equations of the rotational motion of the planet are derived. The stability of plane rotations is investigated. The analysis of the evolution of rotational motion depending on the values of the parameters and the initial conditions is carried out.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (State University), 141700, Dolgoprudnyi, Russia

    N. I. Amel’kin

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  1. N. I. Amel’kin
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Correspondence to N. I. Amel’kin.

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Translated by I. K. Katuev

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Amel’kin, N.I. Evolution of Rotational Motion of a Planet in a Circular Orbit Under the Influence of Internal Elastic and Dissipative Forces. Mech. Solids 55, 234–247 (2020). https://doi.org/10.3103/S0025654420020053

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  • DOI: https://doi.org/10.3103/S0025654420020053

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