A Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations
A deterministic modification of Stokes's integration kernel is presented which reduces the truncation error when regional gravity data are used in conjunction with a global geopotential model to compute a gravimetric geoid. The modification makes use of a combination of two existing modificatio...
| Main Authors: | , , |
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| Format: | Journal Article |
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Springer-Verlag
1998
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| Online Access: | http://hdl.handle.net/20.500.11937/35384 |
| _version_ | 1848754482780831744 |
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| author | Featherstone, Will Evans, J. Olliver, J. |
| author_facet | Featherstone, Will Evans, J. Olliver, J. |
| author_sort | Featherstone, Will |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A deterministic modification of Stokes's integration kernel is presented which reduces the truncation error when regional gravity data are used in conjunction with a global geopotential model to compute a gravimetric geoid. The modification makes use of a combination of two existing modifications from Vanicek and Kleusberg and Meissl. The former modification applies a root mean square minimisation to the upper bound of the truncation error, whilst the latter causes the Fourier series expansion of the truncation error to coverage to zero more rapidly by setting the kernel to zero at the truncation radius. Green's second identity is used to demonstrate that the truncation error converges to zero faster when a Meissl-type modification is made to the Vanicek and Kleusberg kernel. A special case of this modification is proposed by choosing the degree of modification and integration cap-size such that the Vanicek and Kleusberg kernel passes through zero at the truncation radius. |
| first_indexed | 2025-11-14T08:41:07Z |
| format | Journal Article |
| id | curtin-20.500.11937-35384 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:41:07Z |
| publishDate | 1998 |
| publisher | Springer-Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-353842017-09-13T15:20:29Z A Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations Featherstone, Will Evans, J. Olliver, J. Gravimetric geoid determination - Modified kernels - Truncation error reduction A deterministic modification of Stokes's integration kernel is presented which reduces the truncation error when regional gravity data are used in conjunction with a global geopotential model to compute a gravimetric geoid. The modification makes use of a combination of two existing modifications from Vanicek and Kleusberg and Meissl. The former modification applies a root mean square minimisation to the upper bound of the truncation error, whilst the latter causes the Fourier series expansion of the truncation error to coverage to zero more rapidly by setting the kernel to zero at the truncation radius. Green's second identity is used to demonstrate that the truncation error converges to zero faster when a Meissl-type modification is made to the Vanicek and Kleusberg kernel. A special case of this modification is proposed by choosing the degree of modification and integration cap-size such that the Vanicek and Kleusberg kernel passes through zero at the truncation radius. 1998 Journal Article http://hdl.handle.net/20.500.11937/35384 10.1007/s001900050157 Springer-Verlag restricted |
| spellingShingle | Gravimetric geoid determination - Modified kernels - Truncation error reduction Featherstone, Will Evans, J. Olliver, J. A Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations |
| title | A Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations |
| title_full | A Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations |
| title_fullStr | A Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations |
| title_full_unstemmed | A Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations |
| title_short | A Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations |
| title_sort | meissl-modified vanicek and kleusberg kernel to reduce the truncation error in gravimetric geoid computations |
| topic | Gravimetric geoid determination - Modified kernels - Truncation error reduction |
| url | http://hdl.handle.net/20.500.11937/35384 |