 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 40, Issue 5 / 2005 | Next article >> |
| L. D. Akulenko, S. A. Kumakshev, and Yu. G. Markov, "Perturbed Earth rotation," Mech. Solids. 40 (5), 12-19 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
12-19 |
| Title |
Perturbed Earth rotation |
| Author(s) |
L. D. Akulenko (Moscow)
S. A. Kumakshev (Moscow)
Yu. G. Markov (Moscow) |
| Abstract |
We study rotatory-oscillatory motions of the Earth with respect to the
center of mass in the framework of a quasistationary model of an
axisymmetric viscoelastic body subjected to perturbing gravitational
torques exerted by the Sun and the Moon. Attention is mainly paid to the
analysis of oscillations of the poles, i.e., of the Earth's angular
velocity vector in the Earth-fixed reference frame. We reveal the tidal
mechanism of excitation of these oscillations, caused by the
rotatory-progressive motion of the barycenter of the Earth-Moon "binary
planet" around the Sun and the Earth's axial tilt.
We establish that the main characteristics of these oscillations are rather
stable and do not vary significantly on the observation intervals. Using
methods of celestial mechanics, we construct a simple mathematical model of
the oscillations, which involves two frequencies (natural oscillations and
annual oscillations) and is adequate to the precision of the
IERS astrometric data. The model parameters are identified by the least
squares method on the basis of spectral analysis of the IERS data. We
obtain statistically and visually reliable interpolation data for
considerably large time intervals and give a qualitative one-to-five-year
forecast confirmed by observations in several recent years. The results are
of theoretical scientific interest and are also important in applications
to navigation and geophysical problems. |
| References |
| 1. | W. H. Munk and G. J. F. Macdonald, The Rotation of the Earth, Univ.
Press, Cambridge, 1960. |
| 2. | IERS Annual Reports, Central
Bureau of IERS, Observatoire de Paris, 1990 July 1991 bis 2000 July 2001. |
| 3. | H. Moritz and I. I. Müller, Earth Rotation: Theory and
Observation, Ungar, New York, 1987. |
| 4. | Yu. N. Avsyuk, Tidal Forces and Natural Processes [in Russian],
Izd. OIFZ RAN, Moscow, 1996. |
| 5. | N. S. Sidorenkov, Physics of Earth Rotation Instability [in
Russian], Nauka, Moscow, 2002. |
| 6. | A. Yu. Ishlinskii, Orientation, Gyros, and Inertial Navigation [in
Russian], Nauka, Moscow, 1976. |
| 7. | L. D. Akulenko, S. A. Kumakshev, Yu. G. Markov, and L. V. Rykhlova,
"A model of the deformable Earth's polar motion, adequate to astrometric
data," Astron. Zh., Vol. 79, No. 1, pp. 81-89, 2002. |
| 8. | L. D. Akulenko, S. A. Kumakshev, Yu. G. Markov, and L. V. Rykhlova,
"A forecast of the deformable Earth's polar motion," Astron. Zh., Vol. 79,
No. 10, pp. 952-960, 2002. |
| 9. | L. D. Akulenko, S. A. Kumakshev, and Yu. G. Markov, "The Earth
polar motion," Doklady AN, Vol. 382, No. 2, pp. 199-2005, 2002. |
| 10. | V. V. Beletskii, Satellite Motion Relative to the Center of Mass
in a Gravitational Field [in Russian], Izd-vo MGU, Moscow, 1975. |
| 11. | Yu. V. Linnik, The Least Squares Method and Basics of the
Mathematical-Statistical Theory of Reduction of Observations [in Russian],
Fizmatgiz, Moscow, 1962. |
|
| Received |
02 April 2004 |
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