Browse > Article

Accuracy Assessment of the Upward Continuation using the Gravity Model from Ultra-high Degree Spherical Harmonics  

Kwon Jay-Hyoun (서울시립대학교 지적정보학과)
Lee Jong-Ki (오하이오주립대학교 측지학)
Publication Information
Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography / v.24, no.2, 2006 , pp. 183-191 More about this Journal
Abstract
The accuracy of the upward continuation is assessed through the gravity modeling using an ultra-high degree spherical harmonic expansion. The difficulties in the numerical calculation of Legendre function with ultra-high degree, underflow and/or overflow, is successfully resolved in 128 bit calculation scheme. Using the generated Legendre function, the gravity anomaly with spatial resolution of $1 on the geoid is calculated. The generated gravity anomaly is degraded and extracted with various noise levels and data intervals, then upward continuation is applied to each data sets. The comparison between the upward continued gravity disturbances and the directly calculated from the spherical harmonics showed that the accuracy on the direct method was significantly better than that of Poisson method. In addition, it is verified that the denser and less noised gravity data on the geoid generates better gravity disturbance vectors at an altitude. Especially, it is found that the gravity noise level less than 5mGal, and the data interval less than 2arcmin is necessary for next generation precision INS navigation which requires the accuracy of 5mGal or better at an altitude.
Keywords
Upward continuation; Gravity modeling; Spherical harmonic function;
Citations & Related Records

Times Cited By SCOPUS : 1
연도 인용수 순위
1 Heiskanen, W. A. and Moritz, H. (1996), Physical Geodesy, Institute of Physical Geodesy, Techinical University Graz, Austria, pp. 46-125
2 Lemoine, F.G., Kenyon, S.C., Factor, J.K., Trimmer, R.G., Palvis, N.K., Chinn, D.S., Cox, C.M., Klosko, S.M., Luthcke, S.B., Torrence, M.H., Wang, Y.M., Williamson, R.G., Palvis, E.C., Rapp, R.H., Olson, T.R. (1998), The Development of the Joint NASA GSFC and the National Imagery and Mapping Agency(NIMA) Geopotential Model EGM96, NASNTP-1998-206861, Goddard Space Flight Center, Greenbelt, Maryland
3 Featherstone, W.E., and Kirby, J.F. (2002), New high-resolution grid of gravimetric terrain corrections over Australia, Australian Journal of Earth Sciences, Vol. 49, No.5, pp. 773-774   DOI   ScienceOn
4 Jekeli, C. (2003), Statistical Analysis of Moving-Base Gravimetry and Gravity Gradiometry, Geodetic and GeoInformation Science Reports, No. 466, The Ohio State University, Columbus
5 Holmes, S. A. and Featherstone, W. E. (2002), A unified approach to the Clenshaw summation and the recursive computation of very high degree and order normalized associated Legendre functions. Journal of Geodesy, Vol. 76, pp. 279-299   DOI
6 Kwon, J. H. and Jekeli, C. (2005), Gravity Requirements for Compensation of Ultra-Precise Inertial Navigation, Journal of Navigation, Vol. 58, No.3, pp. 479-492   DOI   ScienceOn