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2011•arXiv (Cornell University)Open access

On the elements of the Earth's ellipsoid of inertia

Alina-Daniela Vîlcu

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Abstract

By using the data for the known geopotential models by means of artificial satellite, the central moments of inertia of the Earth are determined. For this purpose, it was used the value $H = 0.00327369\pm9.8\cdot10^{-8}$ for dynamical flattening of the Earth [I. MIHAILA, A.D. VÎLCU, On the value of the dynamical flattening of the Earth (to appear)]. The results obtained indicate that the pole of inertia is located near the Conventional International Origin (CIO). Also, the orientation of the triaxial ellipsoid of inertia for nine geopotential models considered is given. Our results improve the ones obtained by Erzhanov and Kalybaev [General theory of the rotation of the Earth, Nauka, Moscow, 1984 (in Russian)].

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By using the data for the known geopotential models by means of artificial satellite, the central moments of inertia of the Earth are determined. For this purpose, it was used the value $H = 0.00327369\pm9.8\cdot10^{-8}$ for dynamical flattening of the Earth [I. MIHAILA, A.D. VÎLCU, On the value of the dynamical flattening of the Earth (to appear)]. The results obtained indicate that the pole of inertia is located near the Conventional International Origin (CIO). Also, the orientation of the triaxial ellipsoid of inertia for nine geopotential models considered is given. Our results improve the ones obtained by Erzhanov and Kalybaev [General theory of the rotation of the Earth, Nauka, Moscow, 1984 (in Russian)].

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Available abstract

By using the data for the known geopotential models by means of artificial satellite, the central moments of inertia of the Earth are determined. For this purpose, it was used the value $H = 0.00327369\pm9.8\cdot10^{-8}$ for dynamical flattening of the Earth [I. MIHAILA, A.D. VÎLCU, On the value of the dynamical flattening of the Earth (to appear)]. The results obtained indicate that the pole of inertia is located near the Conventional International Origin (CIO). Also, the orientation of the triaxial ellipsoid of inertia for nine geopotential models considered is given. Our results improve the ones obtained by Erzhanov and Kalybaev [General theory of the rotation of the Earth, Nauka, Moscow, 1984 (in Russian)].

Key concepts: Flattening, Geopotential, Earth's rotation, Ellipsoid, Figure of the Earth, Euler's equations, Moment of inertia, Inertia

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