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dc.contributor.authorFeatherstone, Will
dc.contributor.authorEvans, J.
dc.contributor.authorOlliver, J.
dc.date.accessioned2017-01-30T13:49:23Z
dc.date.available2017-01-30T13:49:23Z
dc.date.created2008-11-12T23:20:51Z
dc.date.issued1998
dc.identifier.citationFeatherstone, W.E. and Evans, J.D. and Olliver, J.G.. 1998. A Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations. Journal of Geodesy 72 (3): 154-160.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/35384
dc.identifier.doi10.1007/s001900050157
dc.description.abstract

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.

dc.publisherSpringer-Verlag
dc.subjectGravimetric geoid determination - Modified kernels - Truncation error reduction
dc.titleA Meissl-modified Vanicek and Kleusberg kernel to reduce the truncation error in gravimetric geoid computations
dc.typeJournal Article
dcterms.source.volume72
dcterms.source.number3
dcterms.source.startPage154
dcterms.source.endPage160
dcterms.source.titleJournal of Geodesy
curtin.note

Originally published in Journal of Geodesy 1998 72(3) pp.154-160

curtin.note

Copyright Springer-Verlag

curtin.note

The original article is available at spingerlink.com.

curtin.identifierEPR-30
curtin.accessStatusFulltext not available
curtin.facultyDivision of Resources and Environment
curtin.facultyDepartment of Spatial Sciences


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