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V.V. Perepelkin, "A Dynamic Model of Diurnal Irregularity in the Nonrigid Earth Rotation," Mech. Solids. 46 (6), 960-968 (2011)
Year 2011 Volume 46 Number 6 Pages 960-968
DOI 10.3103/S0025654411060161
Title A Dynamic Model of Diurnal Irregularity in the Nonrigid Earth Rotation
Author(s) V.V. Perepelkin (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993 Russia, vadimkin1@yandex.ru)
Abstract The previously constructed mathematical model of the Earth's axial rotation irregularity is refined with the methods of celestial mechanics by considering secondary terms in the expansion of the lunisolar gravitational tidal torque and by using corrections (residuum) for zonal tidal perturbations. The diurnal and sub-diurnal variations in the Earth's axial rotation were investigated; namely, a celestial mechanics model adequately describing the observation data and revealing the cause of the diurnal and sub-diurnal oscillations of the angular velocity of the Earth's rotation was constructed. Some examples of predicting the Earth's axial rotation are given.
Keywords dynamic model, gravitational tidal torque, the Earth rotation, diurnal length, universal time, tidal humps
References
1.  IERS Annual Reports. 1990 July bis 1999 July 2000. Central Bureau of IERS. Observatoire de Paris. 2000 July 2001 bis 2002 July 2003 (Verlag BKG, Frankfurt am Mein) (ftp://hpiers.obspm.fr/iers/eop/eopc04/); Institut Géographique National (ftp://igs.ensg.ign.fr).
2.  W. H. Munk and G. J. F. MacDonald, The Rotation of the Earth (Cambridge Univ. Press, Cambridge, 1960; Mir, Moscow, 1964).
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.  V. V. Bondarenko and V. V. Perepelkin, "Simulation and Analysis of the Earth's Polar Oscillations," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 28-35 (2007) [Mech. Solids (Engl. Transl.) 42 (2), 190-196 (2007)].
5.  L. D. Akulenko, Yu. G. Markov, and V. V. Perepelkin, "Nonuniformities of the Earth's Rotation," Dokl. Ross. Akad. Nauk 417 (4), 483-488 (2007) [Dokl. Phys. (Engl. Transl.) 52 (12), 681-686 (2007)].
6.  V. V. Bondarenko and V. V. Perepelkin, "Rotational-Oscillational Motions of the Nonrigid Earth about the Center of Mass," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 25-35 (2009) [Mech. Solids (Engl. Transl.) 44 (5), 677-685 (2009)].
7.  L. D. Akulenko, Yu. G. Markov, and V. V. Perepelkin, "A Celestial Mechanics Model of the EarthÒs Rotation Irregularity," Kosmich. Issled. 47 (5), 452-459 (2009) [Cosmic Res. (Engl. Transl.) 47 (5), 417-425 (2009)].
Received 24 April 2010
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