On the accuracy of modified Stokes's integration in high-frequency gravimetric geoid determination
Two numerical techniques are used in recent regional high-frequency geoid computations in Canada: discrete numerical integration and fast Fourier transform. These two techniques have been tested for their numerical accuracy using a synthetic gravity field. The synthetic field was generated by artifi...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
Springer-Verlag
2001
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| Online Access: | http://hdl.handle.net/20.500.11937/41266 |
| _version_ | 1848756096984940544 |
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| author | Novak, P. Vanicek, P. Veronneau, M. Holmes, S. Featherstone, Will |
| author_facet | Novak, P. Vanicek, P. Veronneau, M. Holmes, S. Featherstone, Will |
| author_sort | Novak, P. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Two numerical techniques are used in recent regional high-frequency geoid computations in Canada: discrete numerical integration and fast Fourier transform. These two techniques have been tested for their numerical accuracy using a synthetic gravity field. The synthetic field was generated by artificially extending the EGM96 spherical harmonic coefficients to degree 2160, which is commensurate with the regular 5' geographical grid used in Canada. This field was used to generate self-consistent sets of synthetic gravity anomalies and synthetic geoid heights with different degree variance spectra, which were used as control on the numerical geoid computation techniques. Both the discrete integration and the fast Fourier transform were applied within a 6: spherical cap centered at each computation point. The effect of the gravity data outside the spherical cap was computed using the spheroidal Molodenskij approach. Comparisons of these geoid solutions with the synthetic geoid heights over western Canada indicate that the high-frequency geoid can be computed with an accuracy of approximately 1 cm using the modified Stokes technique, with discrete numerical integration giving a slightly, though not significantly, better result than fast Fourier transform. |
| first_indexed | 2025-11-14T09:06:46Z |
| format | Journal Article |
| id | curtin-20.500.11937-41266 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:06:46Z |
| publishDate | 2001 |
| publisher | Springer-Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-412662017-09-13T14:10:54Z On the accuracy of modified Stokes's integration in high-frequency gravimetric geoid determination Novak, P. Vanicek, P. Veronneau, M. Holmes, S. Featherstone, Will Geoid determination - Stokes's integration - Fast Fourier transform Two numerical techniques are used in recent regional high-frequency geoid computations in Canada: discrete numerical integration and fast Fourier transform. These two techniques have been tested for their numerical accuracy using a synthetic gravity field. The synthetic field was generated by artificially extending the EGM96 spherical harmonic coefficients to degree 2160, which is commensurate with the regular 5' geographical grid used in Canada. This field was used to generate self-consistent sets of synthetic gravity anomalies and synthetic geoid heights with different degree variance spectra, which were used as control on the numerical geoid computation techniques. Both the discrete integration and the fast Fourier transform were applied within a 6: spherical cap centered at each computation point. The effect of the gravity data outside the spherical cap was computed using the spheroidal Molodenskij approach. Comparisons of these geoid solutions with the synthetic geoid heights over western Canada indicate that the high-frequency geoid can be computed with an accuracy of approximately 1 cm using the modified Stokes technique, with discrete numerical integration giving a slightly, though not significantly, better result than fast Fourier transform. 2001 Journal Article http://hdl.handle.net/20.500.11937/41266 10.1007/s001900000126 Springer-Verlag restricted |
| spellingShingle | Geoid determination - Stokes's integration - Fast Fourier transform Novak, P. Vanicek, P. Veronneau, M. Holmes, S. Featherstone, Will On the accuracy of modified Stokes's integration in high-frequency gravimetric geoid determination |
| title | On the accuracy of modified Stokes's integration in high-frequency gravimetric geoid determination |
| title_full | On the accuracy of modified Stokes's integration in high-frequency gravimetric geoid determination |
| title_fullStr | On the accuracy of modified Stokes's integration in high-frequency gravimetric geoid determination |
| title_full_unstemmed | On the accuracy of modified Stokes's integration in high-frequency gravimetric geoid determination |
| title_short | On the accuracy of modified Stokes's integration in high-frequency gravimetric geoid determination |
| title_sort | on the accuracy of modified stokes's integration in high-frequency gravimetric geoid determination |
| topic | Geoid determination - Stokes's integration - Fast Fourier transform |
| url | http://hdl.handle.net/20.500.11937/41266 |