Comparison and Accuracy Estimation of Modern Models of the Earth's Gravitational Potential

I.O. Novlyanskaya

Kazan Federal University, Kazan, 420008 Russia

E-mail: sailordragon@rambler.ru

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Abstract

The paper presents a brief overview of new models of the Earth's gravitational potential constructed based on satellite-to-satellite tracking, satellite gradiometry, satellite altimetry, as well as ground gravimetric and satellite laser ranging. Inherent accuracy estimation of the described models and criteria for comparison of these models with each other have been considered. The obtained results of the comparison and accuracy estimation of the harmonic expansion coefficients depending on the n degree index showed the contribution of each coefficient and its error into the geopotential value and allowed to select an optimal model for solving applied problems of geodesy.

Keywords: gravitational potential model, Earth, comparison, accuracy estimation

Figure captions

Fig. 1. Satellite models. Diagram showing the dependence of dn (m) on n.

Fig. 2. Combined models. Diagram showing the dependence of dn (m) on n.

Fig. 3. Satellite models. Dependence of Δn on n in comparison of models 1–11 with model 12 of geopotential.

Fig. 4. Satellite models. Dependence of rn on n in comparison of models 1–11 with model 12 of geopotential.

Fig. 5. Satellite models. Dependence of hn on n in comparison of models 1–11 with model 12 of geopotential.

Fig. 6. Combined models. Dependence of Δn on n in comparison of models 1–11 with model 12 of geopotential.

Fig. 7. Combined models. Dependence of rn on n in comparison of models 1–11 with model 12 of geopotential.

Fig. 8. Combined models. Dependence of hn on n in comparison of models 1–11 with model 12 of geopotential.

References

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For citation: Novlyanskaya I.O. Comparison and accuracy estimation of modern models of the Earth's gravitational potential. Uchenye Zapiski Kazanskogo Universiteta. Seriya Estestvennye Nauki, 2016, vol. 158, no. 2, pp. 311–322. (In Russian)


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