Knowledge of the gravity field takes significance place in today's world. Such information is very important for performing of a number of contemporary problems related to satellite technologies. Such problems include: the launch of launch vehicles, satellites orbit prediction, the study of the surface of the oceans, transformation of normal and geodetic heights and more. Goal: Each year, data on the Earth's gravitational field appears more and more that complicates the task of optimal using and joint processing, so it is important to use algorithms that would allow simultaneously to process the largest possible number of input data. But, it is not easy task, even with performing of computing cluster. The increasing tendency to space mission launches, will causing growing of the number of data. Method: based on the above it is represented in the modified least squares method used to determine the harmonic coefficients based on gravity anomalies DTU 10. This input information is provided by array of free air gravity anomalies, arranged in a regular grid points with a resolution of 5 '× 5'. Scientific novelty and practical significance: article describes the principles of antipodean-uniform grid and its division into 8 parts for use of orthogonal properties that arise in this points situation. Results: Thus defined set of harmonic coefficients up to 720 order / degree, and were compared with the model EGM 2008 in terms of spectral characteristics. Was built quasigeoid based on the obtained model. To build quasigeoid used Bruns formula, which includes normal gravity (normal gravitational acceleration) is calculated approximately, because it almost does not affect the final result. Moreover the main objective is to optimize the methodology for determining of the harmonic coefficients, instead of the construction of high-precision geoid. Was performed comparison quasigeoid heights defined in the GNSS-leveling at the site New-Mexico for confirmation of the results.
1. Andersen, O. B., The DTU10 Gravity field and Mean sea surface (2010), Second international symposium of the gravity field of the Earth (IGFS2), Fairbanks, Alaska, 2010.
2. Bruinsma, S. L., Lemoine J. M., Biancale R., Vales N. CNES/GRGS 10-day gravity field models (release 2) and their evaluation, Adv. Space Res 45:587-601. doi:10.1016/j.asr.2009.10.012.
https://doi.org/10.1016/j.asr.2009.10.012
3. Ditmar P., R. Klees, Kostenko F. Fast and accurate computation of spherical harmonic coefficients. Report of Delft University Technology, 2002, 50 p
4. Eötvös L. Studies in the field of gravity and magnetics. In: "Three fundamental papers of Loránd Eötvös", Transl. from Hungarian, ELGI Budapest, 1998, p. 83–125.
5. Hofmann–Wellenhof B., & Moritz H. Physical Geodesy. Springer, Wien New York, 2005, 403 p.
6. ICGEM (Міжнародний центр гравітаційних моделей Землі). http://icgem.gfz-potsdam.de/ICGEM/.
7. Jekeli Christopher. Geometric Reference Systems in Geodesy, Ohio, 2006, 202 p.
8. Moritz H. & B. Hofmann-Wellenhof. Geometry, Relativity, Geodesy. Wichmann, Karlsruhe, 1993.
9. Moritz H., & Muller I.I. Earth's Rotation. Theory and estimations, New York, Ungar, 1987.
10. Pavlis N. K., Holmes S. A., Kenyon S. C., Factor J. K. An Earth Gravitational Model to Degree 2160: EGM2008. Geophysical Research Abstracts, Vol. 10, EGU2008–A–01891, 2008, EGU General Assembly, 2008.
11. Seeber G. Satellite Geodesy 2nd completely revised and extended edition. Walter de Gruyter, Berlin New York, 2003, 589 p.
12. Sneeuw N. Global spherical harmonic analysis by least-squares and numerical quadrature methods in historical perspective. Physical Geodesy. Springer, Wien New York, 1994, 713 p.
13. Wessel P., Smith W.H.F. The Generic Mapping Tools (GMT, Version 4). Technical Reference and Cookbook, Honolulu, HI and Silver Spring, MD, January 2004, 123 p.