 | | 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
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| In English (Mech. Solids): | | 4760 |
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| S.A. Kumakshev, "Gravitational-Tidal Model of Oscillations of Earth's Poles," Mech. Solids. 53 (2), 159-163 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
2 |
Pages |
159-163 |
| DOI |
10.3103/S0025654418020061 |
| Title |
Gravitational-Tidal Model of Oscillations of Earth's Poles |
| Author(s) |
S.A. Kumakshev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, kumak@ipmnet.ru) |
| Abstract |
Based on the analysis of solar and lunar gravitational momentum, a viscoelastic Euler-Liouville model of the Earth's pole oscillations is constructed. The model is based on taking into account the data on Earth's shape and physical processes and does not involve the use of mathematical fitting methods, for example, based on polynomials. Within the framework of the model, the chandler frequency has the meaning of the fundamental frequency of the oscillations of the mechanical system, and the annual frequency is interpreted as the frequency of the compelling force. A delicate mechanism of oscillation excitation is found, based on a combination of eigenfrequencies and forced frequencies. The model has only six parameters, found from the experimental data of the least-squares method. The received forecast has high accuracy on an interval of several years. |
| Keywords |
oscillations of the Earth's pole, gravitational momentum |
| References |
| 1. | W. H. Munk and G. T. F. MacDonald,
The Rotation of the Earth
(Cambridge Univ. Press, Cambridge, 1960; Mir, Moscow, 1964). |
| 2. | IERS Annual Reports, 1990 July 1991 bis 2000 July 2001
(Central Burea of IERS. Observatoire de Paris). |
| 3. | H. Moritz and I. I. Mueller,
Earth Rotation: Theory and Observations
(Ungar, New York, 1987; Naukova Dumka, Kiev, 1992). |
| 4. | Yu. N. Avsyuk,
Tidal Forces and Natural Processes
(Izdat. OIFZ RAN, Moscow, 1996)
[in Russian]. |
| 5. | A. Yu. Ishlinsky,
Orientation, Gyroscopes, and Inertial Navigation
(Nauka, Moscow, 1976)
[in Russian]. |
| 6. | A. A. Ilyushin,
Continuum Mechanics
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[in Russian]. |
| 7. | 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)]. |
| 8. | V. V. Beletsky,
The Motion of the Satellite Relative to the Center of Mass in the Gravitational Field
(Izdat. MGU, Moscow, 1975)
[in Russian]. |
| 9. | D. M. Klimov, L. D. Akulenko, and S. A. Kumakshev,
"Mechanical Model of the Perturbed Motion of the Earth with Respect to the Barycenter,"
Dokl. Ross. Akad. Nauk
453 (3), 277-281 (2013)
[Dokl. Phys. (Engl. Transl.)
58 (11), 505-509 (2013)] |
| 10. | Yu. V. Linnik,
The Method of Least Squares and the Foundations of the Mathematical-Statistical Theory of Processing Observations
(Fizmatgiz, Moscow, 1962)
[in Russian]. |
| 11. | M. Kalarus, H. Schuh, W. Kosek, et al.
"Achievements of the Earth Orientation Parameters Prediction Comparison Campaign,"
J. Geodesy
84 (10), 587-596 (2010). |
|
| Received |
08 November 2017 |
| Link to Fulltext |
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