Journals / Harita Dergisi / 2006 / Cilt: 73 - Sayı: 135

Modelling the earth's gravity field from GRACE satellite data using fuzzy inference systems

Yeryuvarı gravite alanının GRACE uydu verilerinden bulanık çıkarım sistemleri ile modellenmesi

Pages
10–25
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results have shown that the predefined accuracy for GRACE has been reached, and has approved that the fuzzy inference systems are convenient tools especially for geodetic problems which can be defined as input-output systems.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, fuzzy inference systems have been applied to the modeling of the Earth's gravity field, which is one of the most important tasks of geodetic science.
📊
Key Findings & Data:The classical way for modeling the Earth's gravity field is based on the least squares (LS) estimation of the-coefficients of the spherical harmonic function up to a certain degree and order.
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Conclusion & Impact:The results have shown that the predefined accuracy for GRACE has been reached, and has approved that the fuzzy inference systems are convenient tools especially for geodetic problems which can be defined as input-output systems.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, fuzzy inference systems have been applied to the modeling of the Earth's gravity field, which is one of the most important tasks of geodetic science. The classical way for modeling the Earth's gravity field is based on the least squares (LS) estimation of the-coefficients of the spherical harmonic function up to a certain degree and order. To this end, terrestrial, marine and space based gravity anomalies has been employed as observations of the linearised system of equation. In this study, GRACE (Gravity Recovery And Climate Experiment) satellite gravimetry data has been used for gravity field modeling. The gravity anomalies derived from the spherical harmonic coefficients of the first GRACE based gravity field model GGMOIS have formed the data set of the fuzzy system. The results have shown that the predefined accuracy for GRACE has been reached, and has approved that the fuzzy inference systems are convenient tools especially for geodetic problems which can be defined as input-output systems.

Özet

Bu çalışmada Bulanık Çıkarım Sistemleri jeodezinin en önemli problemlerinden olan yeryuvarı gravite alanı modeli belirlemede kullanılmıştır. Gravite alanı belirlemenin klasik yolu yeryuvarı için belirli bir derece ve mertebeye kadar küresel harmonik fonksiyon katsayılarının en küçük kareler (EKK) kestirimi ile belirlenmesine dayanır. Bu nedenle yersel, deniz ve uzay bazlı gravite anomali değerleri, lineerleştirilmiş denklem sisteminin gözlem büyüklükleri olarak alınır. Bu çalışmada gravite alanı modellemesi için sadece GRACE (Gravity Recovery And Climate Experiment) uydu gravimetre verileri kullanılmıştır. GRACE bazlı ilk gravite alam modeli olan GGMOIS küresel harmonik katsayılarından türetilmiş gravite anomali değerleri bulanık sistemin veri kümesini oluşturmuştur. Uygulama sonucunda GRACE için öngörülen doğruluğa erişildiği görülmüş ve bulanık çıkarım sistemlerinin, özellikle girdi-çıktı sistemleri şeklinde tanımlanan jeodezik problemlerin çözümü için uygun yöntemler olduğu sonucuna varılmıştır.

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Cite This Article

AYAN, T., AKYILMAZ, O. (2006). Modelling the earth's gravity field from GRACE satellite data using fuzzy inference systems. Harita Dergisi, Cilt: 73 - Sayı: 135, 10–25. https://ajindex.com/articles/200243

References (15)

  1. Akyılmaz, O., Esnek Hesaplama Yöntemlerinin JeodezideUygulamaları, Doktora Tezi, İTÜ Fen Bilimleri Enstitüsü, İstanbul, Nisan, 2005.
  2. Ayan, T., Deniz, R., Fiziksel Jeodezi, Ders Notu. İTÜ, Jeodezi Anabilim Dalı, İstanbul., 2002.
  3. Bettadpur, S., Watkins, M., GRACE Gravity Science and its Impact on Mission Design, Spring AGU Meeting,Washington DC, USA, May 30-June 3, 2000. CSR GRACE Gravity Model 01 (GGM01),www.csr.utexas.edu/grace, 2003.
  4. Davis, E., Dunn, C., Stanton, R., Thomas, J., The GRACE Mission: meeting the technical challenges, The 50th International Astronautical Congress, October 4-8, 1999. GRACE Science Mission Requirement Document GRACE 327-720, June, 2000.
  5. Gerlach, C., Sneeuw, N., Visser, P., Svehla, D., CHAMP Gravity Field Recovery With The Energy Balance Approach: first results, Proceedings of Firts CHAMP International Science Meeting, Potsdam, January, 2002.
  6. Gruber, T., Gravity Field Models beyond CHAMP, GRACE and GOCE: A synergetic view of global gravity field computation, Proceedings of Heiskanen Symposium in Geodesy, Celebrating 50 years of Geodetic Science at the Ohio State University, Columbus, Ohio, 2002.
  7. Han, S.-C., Jekeli, C., Shum, C.K., Efficient Gravity Field Recovery Using İn Situ Disturbing Potential Observations from CHAMP, Geophys. Res. Lett., 29(16), 10.1029/2002GL015180, 2002.
  8. Han, S.-C., Efficient Global Gravity Determination from Satelliteto- satellite Tracking (SST), PhD. Thesis, The Ohio State University, Columbus, OH, 2003.
  9. Han, S.-C., Efficient Determination of Global Gravity Field from Satellite-to-satellite Tracking Mission, Celestial Mechanics and Dynamical Astronomy, 88, 69-102, 2004.
  10. Heiskanen, W., Moritz, M Physical Geodesy. Freeman, San Francisco, 1967.
  11. Jang, J.-S.R., Sun, C.-T., Mizutani, E., Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence. 1st Edition, Prentice Hall, 1997.
  12. Jekeli, C., Rapp, R., Accuracy of the Determination of Mean Anomalies and Mean Geoid Undulations from a Satellite Gravity Mapping Mission, Technical Report, 307, Dept. Of Geod. Sci., Ohio State University, Columbus, OH, 1980.
  13. Jekeli, C., The Determination of Gravitational Potential Differences from satellite-to-satellite Tracking, Celestial Mechanics and Dynamical Astronomy, 75, 85-101, 1999.
  14. Kaula, W.M., Theory of Satellite Geodesy. Blaisdell Publishing Co., 1966.
  15. Kim, J., Roesset, P., Bettadpur, S., Tapley, B., Watkins, M., Error Analysis of the Gravity Recovery and Climate Experiment (GRACE), M.