 | | 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
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| In English (Mech. Solids): | | 4810 |
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| P.P. Tikhomirova, A.V. Shatina, and E.V. Sherstnev, "Tidal Deformations of a Viscoelastic Planet," Mech. Solids. 53 (6), 691-697 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
6 |
Pages |
691-697 |
| DOI |
10.3103/S0025654418060109 |
| Title |
Tidal Deformations of a Viscoelastic Planet |
| Author(s) |
P.P. Tikhomirova ("MIREA - Russian Technological University," pr. Vernadskogo 78, Moscow, 119454 Russia)
A.V. Shatina ("MIREA - Russian Technological University," pr. Vernadskogo 78, Moscow, 119454 Russia, shatina_av@mail.ru)
E.V. Sherstnev ("MIREA - Russian Technological University," pr. Vernadskogo 78, Moscow, 119454 Russia) |
| Abstract |
This article studies the tidal deformations of a viscoelastic planet in the gravitational field of the attracting center and satellite. The planet is modeled either as a body consisting of a solid core and a viscoelastic shell rigidly attached to it, or as a uniform isotropic viscoelastic ball. The attracting center and the satellite are modeled by material points. The function describing the dependence of the height of the tidal hump at a fixed point on the planet's surface on time has been found. Graphs of this function were constructed for the planet "Earth" moving in the gravitational field of the Sun and the Moon. To obtain the result, the method of separation of movements developed by V.G. Vilke for mechanical systems with an infinite number of degrees of freedom is used. |
| Keywords |
tides, gravity, tidal deformations, viscoelastic planet |
| References |
| 1. | V.G. Vil'ke and A.V. Shatina,
"Translational-Rotational Motion of a Viscoelastic Sphere in Gravitational Field of an Attracting Center and a Satellite,"
Kosm. Issled.
42 (1), 95-106 (2004)
[Cosm. Res. (Engl. Transl.)
42 (1), 91-102 (2004)]. |
| 2. | V.G. Vil'ke,
Analytical Mechanics for Systems with Infinite Number of Degrees of Freedom.
(Izd-vo MGU, Moscow, 1997) Part 1-2 [in Russian]. |
| 3. | A.V. Shatina,
"Deformations of a Planet Containing a Moving Internal Core in the Gravitational Field of a Central Body and a Satellite,"
Izv. Akad. Nauk. Mekh. Tv. Tela,
No. 1, 3-12 (2005)
[Mech. Sol. (Engl. Transl.)
Mech. Sol. 40 (1), 1-7 (2005)]. |
| 4. | A.V. Shatina and E.V. Sherstnyov,
"Satellite Motion in the Gravitational Field of a Viscoelastic Planet with a Core,"
Kosm. Issled.
53 (2), 173-180 (2015)
[Cosm. Res. (Engl. Transl.)
53 (2), 163-170 (2015)]. |
| 5. | L.S. Leibenzon,
A Brief Course of the Theory of Elasticity
(Gostekhizdat, Moscow, 1942) [in Russian]. |
| 6. | V.G. Vil'ke,
Theoretical Mechanics
(Lan', St. Petersburg, 2003) [in Russian]. |
| 7. | P.G. Kulikovskii,
Handbook of Amateur Astronomer
(LIBROKOM, Moscow, 2009) [in Russian]. |
| 8. | C.D. Murray and S.F. Dermott,
Solar System Dynamics
(Cambridge Univ. Press, Cambridge, 2000; Fizmatlit, Moscow, 2010). |
| 9. | V.G. Surdin,
The Fifth Force
(Izd-vo MCNMO, Moscow, 2002) [in Russian]. |
|
| Received |
10 February 2017 |
| Link to Fulltext |
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