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

Full text PDF

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

1. International Centre for Global Earth Models (ICGEM). Available at: http://icgem.gfz-potsdam.de/ ICGEM/.
2. Gravity Observation Combination (GOCO). Available at: http://www.goco.eu/.
3. The University of Texas at Austin, Center for Space Research. Available at: http:// www.csr.utexas.edu/grace/gravity/.
4. Gruber Th., Visser P.N.A.M., Ackermann Ch., Hosse M. Validation of GOCE gravity field models by means of orbit residuals and geoid comparisons. J. Geod., 2011, vol. 85, no. 11, pp. 845–860. doi: 10.1007/s00190-011-0486-7.
5. Hirt C., Gruber T., Featherstone W.E. Evaluation of the first GOCE static gravity field models using terrestrial gravity, vertical deflections and EGM2008 quasigeoid heights. J. Geod., 2011, vol. 85, no. 10, pp. 723–740. doi: 10.1007/s00190-011-0482-y.
6. Kashcheev R.A. A comparison of the Earth's gravity field models based on data of satellite-to-satellite tracking. Izv. Vyssh. Uchebn. Zaved., Geod. Aerofotos'emka, 2008, no. 2, pp. 101–109. (In Russian)
7. Meshcheryakov G.A., Tserklevich A.L. Gravitational Field, Figure, and Internal Structure of Mars. Kiev, Naukova Dumka, 1987. 239 p. (In Russian)

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)

The content is available under the license Creative Commons Attribution 4.0 License.