- Open Access
Precision geoid determination by spherical FFT in and around the Korean peninsula
Earth, Planets and Space volume 51, pages 13–18 (1999)
This paper deals with the precision geoid determination by a gravimetric solution in and around the Korean peninsula. A number of data files were compiled for this work, containing now more than 69,900 point gravity data on land and ocean areas. The EGM96 global geopotential model to degree 360 was used in order to determine the long wavelength effect of the geoid surface. By applying the remove-restore technique the geoid undulations were determined by combining a geopotential model, mean free-air gravity anomalies and height in a Digital Elevation Model (DEM). Computation involves a spherical approximation to conduct the Stokes’ integration by a two dimensional spherical Fast Fourier Transform (FFT) with 100% zero-padding. A terrain correction was also computed by FFT with a spherical approximation of the Residual Terrain Model (RTM) terrain correction integration. Accuracy estimates are given for absolute geoid undulations using 78 GPS/Leveling stations. The comparative evaluation gives the bias of 0.187 meters and standard deviation of 0.28 meters, respectively. The relative accuracy achieved was of the order of 3.1 ppm for baselines between 10 and 350 kilometers.
Forsberg, R., Gravity field terrain effect computations by FFT, Bull. Geod., 59, 342–360, 1985.
Forsberg, R. and M. G. Sideris, Geoid computation by the multi-band spherical FFT approach, Manuscr. Geod., 18, 82–90, 1993.
Heiskanen, W. A. and H. Moritz, Physical Geodesy, 364pp., Freeman and Company, San Francisco, 1967.
Kearsely, A. H. W., M. G. Sideris, J. Krynski, R. Forsberg, and K. P. Schwarz, White sands revisited-A comparison of techniques to predict deflections of the vertical, UCSE Report No. 20007, Calgary, Alberta, Canada, 1985.
Kuroishi, Y., Precise gravimetric determination of geoid in the vicinity of Japan, Bull. GSI, 41, 9–11, 1995.
Lee, S. B., H. S. Yun, and J. H. Choi, Gravimetric geoid determination by Fast Fourier Transform in and around Korean peninsula, J. Korean Soc. Geod., Photogramm. Cartogr., 14, No. 1, 49–58, 1996.
Lemoine, F. G., D. E. Smith, L. Kunz, R. Smith, E. C. Pavilis, N. K. Pavilis, S. M. Klosko, D. S. Chinn, M. H. Torrence, R. G. Williamson, C. M. Cox, K. E. Rachlin, Y. M. Ming, S. C. Kenyon, R. Salman, R. Trimmer, R. H. Rapp, and R. S. Nerem, The development of the NASA GSFC and NIMA joint geopotential model, Gravity, Geoid and Marine Geodesy, International Symposium, No. 117, 461–469, 1996.
Li, Y. C., Optimized spectral geoid determination, UCGE Report No. 20050, Dept. of Geomatics Engineering, University of Calgary, Canada, 1993.
Rapp, R. H., T. H. Wang, and N. K. Pavlis, The Ohio State 1991 geopotential and sea surface topography harmonic coefficient models, Report No. 410, Dept. of Geodetic Science and Surveying, Ohio State University, 1991.
Schwarz, K. P., M. G. Sideris, and R. Forsberg, Orthometric heights without leveling, J. Surv. Eng., 113, No. 1, 28–40, 1987.
Strang van Hees, Stokes’ formula using fast Fourier techniques, Manuscr. Geod., 15, 235–239, 1990.
Tziavos, I. A., Numerical considerations of FFT methods in gravity field modeling, Nr. 188, Hannover, 1993.
Yun, H. S., Determination of Gravimetric Geoid Solution in South Korea, Gravity and Geoid, International Association of Geodesy, Symposia. 113, IUGG and IAG, Springer, Berlin, 1994.
Yun, H. S., Results of the geoid computation for Korean peninsula, Ph.D. dissertation, Technical University of Budapest, Hungary, 1995.
Yun, H. S. and J. Adam, On the global geopotential models in the region of the Korean peninsula, J. Korean Soc. Geod., Photogramm. Cartogr., 13, No. 1, 95–106, 1994.
Wichiencharoen, C., The indirect effects on the computation of geoid undulations, Report No. 336, Dept. of Geodetic Science and Surveying, Ohio State University, 1982.
About this article
Cite this article
Yun, HS. Precision geoid determination by spherical FFT in and around the Korean peninsula. Earth Planet Sp 51, 13–18 (1999). https://doi.org/10.1186/BF03352204
- Gravity Anomaly
- Korean Peninsula
- Geopotential Model
- Geoid Undulation
- Orthometric Height