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On the estimation of accuracy for global models of gravitational field of the earth

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Abstract

The methods and techniques for estimating the accuracy of global models of the Earth’s gravity field in the form of spherical harmonic expansion of the geopotential are analyzed. Various methods for obtaining the a priori and a posteriori estimates for the accuracy are considered and classified. The application of different approaches is illustrated by numerical examples for nine models, including those recently developed using the modern methods of space geodesy. The basic requirements for the database and software for estimating the accuracy are formulated.

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References

  • Arabelos, D.N. and Tscherning, C.C., A comparison of recent Earth gravitational models with emphasis on their contribution in refining the gravity and geoid at continental or regional scale, J. Geod., 2010, vol. 84, pp. 643–660.

    Article  Google Scholar 

  • Cheng, M., Ries, J.C., and Chambers, D.P., Evaluations of the EGM-2008 gravity model, Newton’s Bull., 2009, no. 4, pp. 18–23.

    Google Scholar 

  • Foerste, C., Schmidt, R., Stubenvoll, R., Flechtner, F., Meyer, U., Koenig, R., Neumayer, H., Biancale, R., Lemoine, J.-M., Bruinsma, S., Loyer, S., Barthelmes, F., and Esselborn, S., The GeoForschungsZentrum Potsdam/Groupe de Recherche de Geodesie Spatiale satelliteonly and combined gravity field models: EIGEN-GL04S1 and EIGEN-GL04C, J. Geod., 2008, vol. 82, no. 6, pp. 331–346. doi: 10.1007/s00190-007-0183-8

    Article  Google Scholar 

  • Gruber, T., Validation concepts for gravity field models from satellite missions, in Proc. 2nd Int. GOCE user workshop “GOCE, The Geoid and Oceanography”, 2004.

    Google Scholar 

  • Gruber, T., Viesser, P.N.A.M., Ackermann, C., and Hosse, M., Validation of GOCE gravity field models by means of orbit residuals and geoid comparions, J. Geod., 2011, vol. 85, pp. 845–860.

    Article  Google Scholar 

  • Jekeli, C., Yang, H.J., and Kwon, J.H., Evaluation of EGM08—globally, and locally in South Korea, Newton’s Bull., 2009, no. 4, pp. 38–49.

    Google Scholar 

  • Kaula, W.M., Theory of satellite geodesy: Applications of Satellites to Geodesy (Waltham, Mass.: Blaisdell, 1966).

    Google Scholar 

  • Koneshov, V.N., Nepoklonov, V.B., and Stolyarov, I.A., Study of the anomalous gravity field in the Arctic based on modern geopotential models, Izv., Phys. Solid Earth, 2012, vol. 48, nos. 7–8, pp. 587–593.

    Article  Google Scholar 

  • Moritz, H., Covariance functions in leastsquares collocation (Rep. no. 240, Dept. Geod. Sci., Ohio State Univ.) (Columbus: Ohio State Univ., 1976).

    Google Scholar 

  • Moritz, H., Advanced Physical Geodesy (Karlsruhe: Wichmann, 1980).

    Google Scholar 

  • Nepoklonov, V.B., Computer models of the anomalous Earth gravitational field, Izv. Vyssh. Uchebn. Zaved., Geod. Aerofotos’emka, 1998, no. 6, pp. 104–106.

    Google Scholar 

  • Nepoklonov, V.B., Zueva, A.N., and Pleshakov, D.I., Development and application of computer modeling systems for Earth gravitational field studies at global scale, Izv. Vyssh. Uchebn. Zaved., Geod. Aerofotos’emka, 2007, no. 2, pp. 79–97.

    Google Scholar 

  • Pellinen, L.P., Estimation and application of degree variances of gravity, Studia Geophys. Geod., 1970, vol. 14, no. 2, pp. 168–173.

    Article  Google Scholar 

  • Pellinen, L.P., Calculation of smoothed gravity anomalies based on altimetry and gravimetry data, in Sb. Nauchn. Tr. TsNIIGAiK (Coll. Pap. Central Res. Inst. Geod., Aerial Photography, and Cartography), (Moscow: TsNIIGAiK, 1992), pp. 3–39.

    Google Scholar 

  • Sjöberg, L.E., On the quasigeoid to geoid separation, Manuscr. Geod., 1995, vol. 20, pp. 182–192.

    Google Scholar 

  • Tscherning, C.C. and Rapp, R.H., Closed Covariance Expressions for Gravity Anomalies, Geoid Undulations, and Deflections of the Vertical Implied by Anomaly Degree Variance Models (Rep. no. 208, Dept. Geod. Sci., Ohio State Univ.) (Columbus: Ohio State Univ., 1974).

    Google Scholar 

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Original Russian Text © V.N. Koneshov, V.B. Nepoklonov, R.A. Sermyagin, E.A. Lidovskaya, 2014, published in Fizika Zemli, 2014, No. 1, pp. 129–138.

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Koneshov, V.N., Nepoklonov, V.B., Sermyagin, R.A. et al. On the estimation of accuracy for global models of gravitational field of the earth. Izv., Phys. Solid Earth 50, 127–136 (2014). https://doi.org/10.1134/S1069351313060074

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  • DOI: https://doi.org/10.1134/S1069351313060074

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