Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2020-2pp.234-247

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N.I. Amel'kin, "Evolution of Rotational Motion of a Planet in a Circular Orbit Under the Influence of Internal Elastic and Dissipative Forces," Mech. Solids. 55 (2), 234-247 (2020)
Year 2020 Volume 55 Number 2 Pages 234-247
DOI 10.3103/S0025654420020053
Title Evolution of Rotational Motion of a Planet in a Circular Orbit Under the Influence of Internal Elastic and Dissipative Forces
Author(s) N.I. Amel'kin (Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, 141700 Russia, namelkin@mail.ru)
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.
Keywords planet, satellite, circular orbit, averaged equations, evolution of rotational motion, plane rotations, stability
Received 18 June 2019Revised 07 July 2019Accepted 27 July 2019
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