Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 3, Pages 33–40 (Mi vmumm319)  

This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Rotation of an elastic sphere about its mass center in the gravitational field of two attracting points

E. Yu. Baranova, V. G. Vil'ke

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (566 kB) Citations (1)
References:
Abstract: A planet model as a uniform elastic sphere in the gravitational field of two mass points with the appearance of tidal deformations is considered. The sphere rotation about its mass center is studied with consideration of its deformations caused by the centrifugal force field and the gradient fields of gravitational forces. The sphere inertia tensor whose components depend on time is found. The sphere angular velocity projections onto the axes related integrally to the sphere are determined. The results obtained are illustrated for the case of the Earth. In this case, the equivalent values of the elasticity modulus and Poisson's ratio and the angular velocity perturbations are found.
Key words: elastic sphere, tidal deformations, angular velocity of the sphere rotation about the mass center.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00536а
12-08-00637а
Received: 06.03.2013
English version:
Moscow University Mechanics Bulletin, 2014, Volume 69, Issue 3, Pages 57–64
DOI: https://doi.org/10.3103/S0027133014030017
Bibliographic databases:
Document Type: Article
UDC: 531.391
Language: Russian
Citation: E. Yu. Baranova, V. G. Vil'ke, “Rotation of an elastic sphere about its mass center in the gravitational field of two attracting points”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 3, 33–40; Moscow University Mechanics Bulletin, 69:3 (2014), 57–64
Citation in format AMSBIB
\Bibitem{BarVil14}
\by E.~Yu.~Baranova, V.~G.~Vil'ke
\paper Rotation of an elastic sphere about its mass center in the gravitational field of two attracting points
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 3
\pages 33--40
\mathnet{http://mi.mathnet.ru/vmumm319}
\transl
\jour Moscow University Mechanics Bulletin
\yr 2014
\vol 69
\issue 3
\pages 57--64
\crossref{https://doi.org/10.3103/S0027133014030017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904721624}
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  • This publication is cited in the following 1 articles:
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