 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 40, Issue 1 / 2005 | Next article >> |
| A. V. Shatina, "Deformations of a planet containing a moving internal core in the gravitational field of a central body and a satellite," Mech. Solids. 40 (1), 1-7 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
1 |
Pages |
1-7 |
| Title |
Deformations of a planet containing a moving internal core in the gravitational field of a central body and a satellite |
| Author(s) |
A. V. Shatina (Moscow) |
| Abstract |
A translational-rotational motion of a "planet-satellite" system in the
gravity field of an attracting center is analyzed. It is assumed that the
planet consists of a rigid weightless sphere with a moving internal core
inside and an external viscoelastic spherical shell rigidly attached to
the sphere. The satellite and the attracting center are considered as
material points. The equations of motion for the system are derived on the
basis of the D'Alembert-Lagrange variational principle. The motion
separation method is applied to the system of equations obtained. A
solution of the elasticity problem is constructed. This solution describes
the deformations of the elastic layer of the planet under the action of
the gravitational and inertial forces. It is shown that the action of
external gravitational fields causes centrosymmetrical deformations of
the elastic spherical layer of the planet. The oscillations of the inner
core break down the symmetry. |
| References |
| 1. | A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity
[Russian translation], ONTI, Moscow, Leningrad, 1935. |
| 2. | V. G. Vil'ke, Theoretical Mechanics [in Russian], Izd-vo MGU,
Moscow, 1998. |
| 3. | V. G. Vil'ke, Analytical Mechanics of Systems with Infinite Number
of Degrees of Freedom. Parts 1 and 2 [in Russian], Izd-vo MGU, Moscow,
1997. |
| 4. | L. S. Leibenzon, A Short Course in Elasticity Theory [in Russian],
Gostekhizdat, Moscow, 1942. |
| 5. | Yu. N. Avsyuk, Tidal Forces and Natural Processes [in Russian],
Ob'edinennyi In-t Fiziki Zemli im. O. Yu. Shmidta RAN, Moscow, 1996. |
|
| Received |
11 June 2002 |
| << Previous article | Volume 40, Issue 1 / 2005 | Next article >> |
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