Abstract
We examine the induced spin velocity in case of the Earth. Spin velocity is induced from the conversion of a constrained spatial rotation into a spatial displacement. Its effects on Earth as a celestial body are consequences of its properties, and they are examined in detail. The induced spin velocity has influence on the semiannual variation of the length of day. The annual and semiannual variations of the length of day are considered separately. The measured value in case of the semiannual variation of the length of the day is 5.44% more than the predicted, while the measured value in case of the annual variation of the length of the day is 5.36% less than the predicted.
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A.P. Yefremov, Six-dimensional “rotational relativity”. Acta Phys. Hung. A 11(1–2), 147–153 (2000)
V. Barashenkov, Multitime generalization of Maxwell electrodynamics gravity. Turk. J. Phys. 23, 831–838 (1999)
V. Barashenkov, Quantum field theory with three-dimensional vector time. Phys. Part. Nuclei+ 2004(2), 54–63 (2004)
V. Barashenkov, M.Z. Yuriev, Solutions of multitime Dirac equations. Phys. Part. Nuclei+ 2002(6), 38–43 (2002)
E.A.B. Cole, Particle decay in six-dimensional relativity. J. Phys. A Math. Gen. 13, 109–115 (1980). https://doi.org/10.1088/0305-4470/13/1/012
A.J.R. Franco, Vectorial Lorentz transformations. Electron. J. Theor. Phys. 9, 35–64 (2006)
H. Kitada, Theory of local times. Il Nuovo Cimento B 109, 281–302 (1994). https://doi.org/10.1007/BF02727290
J. Strnad, Experimental evidence against three-dimensional time. Phys. Lett. A 96(5), 231–232 (1983). https://doi.org/10.1016/0375-9601(83)90339-0
J. Strnad, Once more on multi-dimensional. J. Phys. A Math. Gen. 14, L433–L435 (1981). https://doi.org/10.1088/0305-4470/14/11/003
K. Trenčevski, Special relativity based on the \(SO(3, C)\) structural group and 3-dimensional time. Math. Balk. 25(1–2), 193–201 (2011)
K. Trenčevski, Representation of the Lorentz transformations in 6-dimensional space-time. Kragujev. J. Math. 35(2), 327–340 (2011)
K. Trenčevski, Duality in the special relativity based on the isomorphic structural groups \(SO(3,{\mathbb{C}})\) and \(O_+^{\uparrow }(1,3)\). Tensor 72(1), 32–46 (2010)
K. Trenčevski, On the geometry of the space-time and motion of the spinning bodies. Cent. Eur. J. Phys. 11(3), 296–316 (2013). https://doi.org/10.2478/s11534-012-0167-z
K. Trenčevski, On the group of isometries of the space, in BSG Proceedings 21, Proceedings of the International Conference “Differential Geometry—Dynamical Systems” DGDS-2013, 10–13 October, Bucharest-Romania, pp. 193–200 (2013)
K. Trenčevski, E. Celakoska, Complex equations of motion for a body under gravitational influence by using nine-parameter space-time bundle with structure group \(SO(3,{{\mathbb{C}}})\). Ann. Phys. N. Y. 395, 15–25 (2018). https://doi.org/10.1016/j.aop.2018.05.005
K. Trenčevski, Application of the geometry of curves in Euclidean space. Filomat 33(4), 1029–1036 (2019). https://doi.org/10.2298/FIL1904029T
B. Petkanchin, Differential Geometry (Nauka i izkustvo, Sofia, 1964). (in Bulgarian)
R.D. Rosen, The axial momentum balance of Earth and its fluid envelope. Surv. Geophys. 14(1), 129 (1993)
A.M. Dziewonski, D.L. Anderson, Preliminary reference Earth model. Phys. Earth Planet. Inter. 25(4), 297–356 (1981)
G. Woan, The Cambridge Handbook of Physics Formulas (Cambridge University Press, Cambridge, 2003), p. 176
K. Trenčevski, E. Celakoska, Application of the Thomas precession to the deformations of a rotating disc. Ukr. Math. Bull. 6(4), 429–435 (2009)
K. Trenčevski, V. Balan, Shrinking of rotational configurations and associated inertial forces. J. Calcuta Math. Soc. 1(3&4), 165–280 (2005)
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Trenčevski, K., Celakoska, E. Induced spin velocity of the Earth and its influence on the seasonal variation of the Earth’s angular velocity. Eur. Phys. J. Plus 135, 450 (2020). https://doi.org/10.1140/epjp/s13360-020-00455-z
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DOI: https://doi.org/10.1140/epjp/s13360-020-00455-z