A practical software package for computing gravimetric geoid by the least squares modification of Hotine's formula

Abbak R. A., Ellmann A., ÜSTÜN A.

EARTH SCIENCE INFORMATICS, cilt.15, sa.1, ss.713-724, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s12145-021-00713-3
  • Dergi Adı: EARTH SCIENCE INFORMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, CAB Abstracts, Geobase, INSPEC
  • Sayfa Sayıları: ss.713-724
  • Anahtar Kelimeler: Auvergne test-bed, Hotine's integral, LSMHSOFT, Rugged topography, Point-wise integration, GRAVITY, COMPUTATION, AREA
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Today's geodetic community starts to model an accurate gravimetric geoid within a 5 mm level, which entirely meets the demands of all technical and geoscientific studies. In this context, a wide range of geoid modelling methods have been published through the years, each of them has its own philosophy. Recently, a new geoid modelling technique has been developed by using the least squares modification of Hotine's formula (LSMH), which gives more reasonable results than other methods. However, a practical and compact software package is not publicly accessible for researchers in this method. Thus, a scientific software package named "LSMHSOFT" is developed by C programming language and made available for public use in this study. Subsequently, the software is employed for the composition of gravimetric geoid in the Auvergne test-bed, verifying it by GNSS (Global Navigation Satellite Systems)-levelling data. Numerical results indicate that LSMHSOFT is a powerful tool for modelling gravimetric geoid by the least squares modification of Hotine's formula and its additive corrections.