 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
|
| << Previous article | Volume 50, Issue 6 / 2015 | Next article >> |
| A.S. Filippova, "Dynamic Analysis of the Earth Pole Oscillation Process," Mech. Solids. 50 (6), 622-632 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
6 |
Pages |
622-632 |
| DOI |
10.3103/S0025654415060035 |
| Title |
Dynamic Analysis of the Earth Pole Oscillation Process |
| Author(s) |
A.S. Filippova (Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia, filippova.alex@gmail.com) |
| Abstract |
In the framework of classical mechanics, we perform an amplitude-frequency analysis of a small-parameter model of the Earth pole diurnal oscillations under the action of luni-solar gravitational-tidal torques. The Euler-Liouville dynamic equations with irregular perturbations taken into account are used to obtain the structural properties of diurnal oscillations of the Earth pole coordinates. The results of the Earth pole motion simulation are compared with the high-precision data of VLBI observations on a short time interval. |
| Keywords |
Earth pole oscillations, terrestrial tides, tensor of inertia, geopotential, gravitational-tidal perturbations, celestial-mechanical model, nutation |
| References |
| 1. | International Earth Rotation and Reference Service -
IERS Annual Reports, URL: http://www.iers.org. |
| 2. | L. D. Akulenko, D. M. Klimov, Yu. G. Markov, and V. V. Perepelkin,
"Oscillatory-Rotational Processes in the Earth Motion
about the Center of Mass: Interpolation and Forecast,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 6-29 (2012)
[Mech. Solids (Engl. Transl.)
47 (6), 601-621 (2012)]. |
| 3. | L. D. Akulenko, S. A. Kumakshev, Yu. G. Markov, and L. V. Rykhlova,
"A Gravitational-Tidal Mechanism for the Earth's Polar Oscillations,"
Astron. Zh.
82 (10), 950-960 (2005)
[Astron. Rep. (Engl. Transl.)
49 (10), 847-857 (2005)]. |
| 4. | M. K. Cheng and B. D. Tapley,
"Variations in the Earth's Oblateness during the Past 28 Years,"
J. Geophys. Res.
109 (8), B09402-B09409 (2004). |
| 5. | L. D. Akulenko, S. A. Kumakshev, Yu. G. Markov, and L. V. Rykhlova,
"Analysis of Multifrequency Effects in Oscillations of the Earth's Pole,"
Astron. Zh.
84 (5), 471-478 (2007)
[Astron. Rep. (Engl. Transl.)
51 (5), 421-427 (2007)]. |
| 6. | Yu. G. Markov, V. V. Perepelkin, L. V. Rykhlova, et al.,
"Modeling Intraday Oscillations of the Earth's Pole,"
Astron. Zh.
91 (3), 251-260 (2014)
[Astron. Rep. (Engl. Transl.)
58 (3), 194-203 (2014)]. |
| 7. | L. D. Akulenko, Yu. G. Markov, and V. V. Perepelkin,
""Modeling of the Earth's Rotary-Oscillatory Motion within
a Short Time Interval (Interpolation and Prognosis),"
Dokl. Ross. Akad. Nauk
438 (3), 326-331 (2011)
[Dokl. Phys. (Engl. Transl.)
56 (5), 294-299 (2011)]. |
| 8. | L. D. Akulenko, D. M. Klimov, Yu. G. Markov, et al.,
"Numerical-Analytic Modeling of Perturbed Oscillatory Motions of the Earth Pole,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 105-119 (2014)
[Mech. Solids (Engl. Transl.)
49 (6), 690-702 (2014)]. |
| 9. | V. S. Gubanov,
Generalized Least Squares Method.
Theory and Applications in Astrometry
(Nauka, St. Petersburg, 1997)
[in Russian]. |
| 10. | E. A. Skutikhina, A. V. Ipatov, S. G. Smoplentsev, et al.,
"Results of Processing of VLBI Observations by CONTI Program,"
Trudy IPA RAN,
No. 27, 538-541 (2013). |
| 11. | P. Melchior,
Physics and Dynamics of Planets, Vol. 4, Part 2
(Mir, Moscow, 1975)
[in Russian]. |
|
| Received |
27 April 2015 |
| Link to Fulltext |
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