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Numerical Investigation on Spherical Harmonic Synthesis and Analysis
KTH, School of Architecture and the Built Environment (ABE), Urban Planning and Environment, Geodesy and Satellite Positioning.
2015 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

In this thesis work the accuracy of the spherical harmonic synthesis and analysis are investigated, by simulated numerical studies.The main idea is to investigate the loss of accuracy, in the geopotential coeffcients, by the following testing method. We start with a synthesis calculation, using the coefficients(EGM2008), to calculate geoid heights on a regular grid. Those geoid heights are then used in an analysis calculation to obtain a new set of coeffcients, which are in turn used to derive a new set of geoid heights. The difference between those two sets of geoid heights will be analyzed to assess the accuracy of the synthesis and analysis calculations.The tests will be conducted with both point-values and area-means in the blocks in the grid. The area-means are constructed in some different ways and will also be compared to the mean value from 10000 point values as separate tests. Numerical results from this investigation show there are signifi…cant systematic errors in the geoid heights computed by spherical harmonic synthesis and analysis, sometimes reaching as high as several meters. Those big errors are most common at the polar regions and at the mid-latitude regions.

Place, publisher, year, edition, pages
TRITA-GIT EX, 15-006
Keyword [en]
Spherical harmonic synthesis and analysis, geopotential coefficients, geoid, global gravitational models (GGM's), discretization, smoothing
National Category
Geosciences, Multidisciplinary
URN: urn:nbn:se:kth:diva-171779OAI: diva2:844481
Subject / course
Educational program
Degree of Master - Geodesy and Geoinformatics
Available from: 2015-08-06 Created: 2015-08-06 Last updated: 2015-09-16Bibliographically approved

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Geodesy and Satellite Positioning
Geosciences, Multidisciplinary

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