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The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey

Year 2017, Volume: 17 Issue: 1, 147 - 153, 24.04.2017

Abstract

High-degree geopotential models of spherical harmonic coefficients are used for modelling the exterior gravity field of the Earth. These coefficients are derived from satellite tracking data, altimeter data, and terrestrial and airborne gravity data. Hundreds of thousands of coefficients and standard deviation values for these coefficients are estimated from millions of measurements. The geopotential model accuracy is affected by the amount, the distribution and the type of measurements. The satellite gravity field missions have provided accurate data forming geopotential models since 1960’s. The geopotential models related to the satellite gravity field missions are experienced by interior validation (estimated error degree variances of fully-normalized coefficients) or outer validation (comparison of model based gravity anomalies and geoid heights with terrestrial measurements). In this paper, recent high-degree geopotential models are primarily explained and evaluated by GNSS/levelling data of a selected study area. The objective of this evaluation is to determine the high-degree geopotential model giving a better fit to the GNSS/levelling data over the study area for the contribution to the regional geoid determination studies in Turkey.

References

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  • Erol, B., Sideris, M.G., Celik, R.N. (2009). Comparison of global geopotential models from the champ and grace missions for regional geoid modelling in Turkey. Studia Geophysica et Geodaetica, 53, 419-441.
  • Förste, C., Flechtner, F., Schmidt, R., Stubenvoll, R., Rothacher, M., Kusche, J., Neumayer, K.H., Biancale, R., Lemoine, J.-M., Barthelmes, F., Bruinsma, S., König, R., Meyer, U. (2008). EIGEN-GL05C - A new global combined high-resolution GRACE-based gravity field model of the GFZ-GRGS cooperation. Geophysical Research Abstracts, Vol. 10, EGU2008-A-03426, SRef-ID: 1607- 7962/gra/EGU2008-A-03426, 2008.
  • Förste, C., Bruinsma, S.L., Abrikosov, O., Lemoine, J.-M., Marty, J.C., Flechtner, F., Balmino, G., Barthelmes, F., Biancale, R. (2015). EIGEN-6C4 The latest combined global gravity field model including GOCE data up to degree a nd o rder 2 190 o f G FZ P otsdam a nd G RGS Toulouse. http://dx.doi.org/10.5880/icgem.2015.1.
  • Gilardoni, M., Reguzzoni, M., Sampietro, D. (2016). GECO: a global gravity model by locally combining GOCE data and EGM2008. Studia Geophysica et Geodaetica, 60, 228-247.
  • Heiskanen, W.A., Moritz, H. (1967). Physical Geodesy.W.H. Freeman, San Francisco.
  • Kiamehr, R., Sjöberg, L.E. (2005). Comparison of the qualities of recent global and local gravimetric geoid models in Iran. Studia Geophysica et Geodaetica, 49, 289-304.
  • Kilicoglu, A., Direnc, A., Yildiz, H., Bolme, M., Aktug, B., Simav, M., Lenk, O. (2011). Regional gravimetric quasi geoid model and transformation surface to national height system for Turkey (THG-09). Studia Geophysica et Geodaetica, 55, 557-578.
  • Kotsakis, C. (2008). Transforming ellipsoidal heights and geoid undulations between different geodetic reference frames. Journal of Geodesy, 82, 249-260.
  • Kotsakis, C., Katsambalos, K., Gianniou, M. (2009). Evaluation of EGM08 based on GPS and orthometric heights over the Hellenic mainland. Newton’s Bulletin, 4, 144-163.
  • Mainville, A., Forsberg, R., Sideris, M.G. (1992). Global positioning system testing of geoids computed from geopotential model and local gravity data: a case study. Journal of Geophysical Research, 97 (B7), 11137-11147.
  • Pavlis, N.K., Holmes, S.A., Kenyon S.C., Factor J.K. (2008). An earth gravitational model to degree 2160: EGM2008. General Assembly of the European Geosciences Union, 13-18 April, Vienna, Austria.
  • Pavlis, N.K., Holmes, S.A., Kenyon, S.C., Factor, J.K. (2012). The development and evaluation of the Earth Gravitational Model 2008 (EGM2008). Journal of Geophysical Research, 117, B04406, doi: 10.1029/2011JB008916.
  • Rapp, R.H. (1997). Past and future developments in geopotential modelling, in: Forsberg, R, Feissl, M., Dietrich, R. (Eds.) Geodesy on the Move, Springer, Berlin, pp. 58-78.
  • Rummel, R., Balmino, G., Johannessen, ., Visser, P., Woodworth, P. (2002). Dedicated gravity field missionsprinciples and aims. Journal of Geodynamics, 33, 3-20.
  • Tenzer, R., Vanicek, P., Santos, M., Featherstone, W.E., Kuhn, M. (2005). The rigorous determination of orthometric heights. Journal of Geodesy, 79, 82-92.
Year 2017, Volume: 17 Issue: 1, 147 - 153, 24.04.2017

Abstract

References

  • Banarjee, P., Foulger, G.R., Satyaprakash, Dabral, C.P. (1999). Geoid undulation modelling and interpretation at Ladak, NW Himalaya using GPS and levelling data. Journal of Geodesy, 73, 79-86.
  • Erol, B., Sideris, M.G., Celik, R.N. (2009). Comparison of global geopotential models from the champ and grace missions for regional geoid modelling in Turkey. Studia Geophysica et Geodaetica, 53, 419-441.
  • Förste, C., Flechtner, F., Schmidt, R., Stubenvoll, R., Rothacher, M., Kusche, J., Neumayer, K.H., Biancale, R., Lemoine, J.-M., Barthelmes, F., Bruinsma, S., König, R., Meyer, U. (2008). EIGEN-GL05C - A new global combined high-resolution GRACE-based gravity field model of the GFZ-GRGS cooperation. Geophysical Research Abstracts, Vol. 10, EGU2008-A-03426, SRef-ID: 1607- 7962/gra/EGU2008-A-03426, 2008.
  • Förste, C., Bruinsma, S.L., Abrikosov, O., Lemoine, J.-M., Marty, J.C., Flechtner, F., Balmino, G., Barthelmes, F., Biancale, R. (2015). EIGEN-6C4 The latest combined global gravity field model including GOCE data up to degree a nd o rder 2 190 o f G FZ P otsdam a nd G RGS Toulouse. http://dx.doi.org/10.5880/icgem.2015.1.
  • Gilardoni, M., Reguzzoni, M., Sampietro, D. (2016). GECO: a global gravity model by locally combining GOCE data and EGM2008. Studia Geophysica et Geodaetica, 60, 228-247.
  • Heiskanen, W.A., Moritz, H. (1967). Physical Geodesy.W.H. Freeman, San Francisco.
  • Kiamehr, R., Sjöberg, L.E. (2005). Comparison of the qualities of recent global and local gravimetric geoid models in Iran. Studia Geophysica et Geodaetica, 49, 289-304.
  • Kilicoglu, A., Direnc, A., Yildiz, H., Bolme, M., Aktug, B., Simav, M., Lenk, O. (2011). Regional gravimetric quasi geoid model and transformation surface to national height system for Turkey (THG-09). Studia Geophysica et Geodaetica, 55, 557-578.
  • Kotsakis, C. (2008). Transforming ellipsoidal heights and geoid undulations between different geodetic reference frames. Journal of Geodesy, 82, 249-260.
  • Kotsakis, C., Katsambalos, K., Gianniou, M. (2009). Evaluation of EGM08 based on GPS and orthometric heights over the Hellenic mainland. Newton’s Bulletin, 4, 144-163.
  • Mainville, A., Forsberg, R., Sideris, M.G. (1992). Global positioning system testing of geoids computed from geopotential model and local gravity data: a case study. Journal of Geophysical Research, 97 (B7), 11137-11147.
  • Pavlis, N.K., Holmes, S.A., Kenyon S.C., Factor J.K. (2008). An earth gravitational model to degree 2160: EGM2008. General Assembly of the European Geosciences Union, 13-18 April, Vienna, Austria.
  • Pavlis, N.K., Holmes, S.A., Kenyon, S.C., Factor, J.K. (2012). The development and evaluation of the Earth Gravitational Model 2008 (EGM2008). Journal of Geophysical Research, 117, B04406, doi: 10.1029/2011JB008916.
  • Rapp, R.H. (1997). Past and future developments in geopotential modelling, in: Forsberg, R, Feissl, M., Dietrich, R. (Eds.) Geodesy on the Move, Springer, Berlin, pp. 58-78.
  • Rummel, R., Balmino, G., Johannessen, ., Visser, P., Woodworth, P. (2002). Dedicated gravity field missionsprinciples and aims. Journal of Geodynamics, 33, 3-20.
  • Tenzer, R., Vanicek, P., Santos, M., Featherstone, W.E., Kuhn, M. (2005). The rigorous determination of orthometric heights. Journal of Geodesy, 79, 82-92.
There are 16 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Mustafa Yılmaz

Bayram Turgut This is me

Mevlüt Güllü This is me

İbrahim Yılmaz This is me

Publication Date April 24, 2017
Submission Date October 27, 2016
Published in Issue Year 2017 Volume: 17 Issue: 1

Cite

APA Yılmaz, M., Turgut, B., Güllü, M., Yılmaz, İ. (2017). The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 17(1), 147-153.
AMA Yılmaz M, Turgut B, Güllü M, Yılmaz İ. The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. April 2017;17(1):147-153.
Chicago Yılmaz, Mustafa, Bayram Turgut, Mevlüt Güllü, and İbrahim Yılmaz. “The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 17, no. 1 (April 2017): 147-53.
EndNote Yılmaz M, Turgut B, Güllü M, Yılmaz İ (April 1, 2017) The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 17 1 147–153.
IEEE M. Yılmaz, B. Turgut, M. Güllü, and İ. Yılmaz, “The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 17, no. 1, pp. 147–153, 2017.
ISNAD Yılmaz, Mustafa et al. “The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 17/1 (April 2017), 147-153.
JAMA Yılmaz M, Turgut B, Güllü M, Yılmaz İ. The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2017;17:147–153.
MLA Yılmaz, Mustafa et al. “The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 17, no. 1, 2017, pp. 147-53.
Vancouver Yılmaz M, Turgut B, Güllü M, Yılmaz İ. The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2017;17(1):147-53.