An ellipsoidal analogue to Hotine’s kernel: Accuracy and applicability
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F15%3A%230002189" target="_blank" >RIV/00025615:_____/15:#0002189 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/1345_2015_133" target="_blank" >http://dx.doi.org/10.1007/1345_2015_133</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/1345_2015_133" target="_blank" >10.1007/1345_2015_133</a>
Alternative languages
Result language
angličtina
Original language name
An ellipsoidal analogue to Hotine’s kernel: Accuracy and applicability
Original language description
In this paper a mathematical apparatus is discussed that involves effects of the flattening of the Earth in the determination of the gravity potential. It rests on the use of Green’s function of the second kind (Neu-mann’s function) constructed for Neumann’s boundary value problem in the exterior of an oblate ellipsoid of revolution. The apparatus has a natural tie to the reproducing kernel of Hilbert’s space of functions har-monic in the considered solution domain. For at least one of the points (arguments of the kernel) inside the solution domain an expression of the reproducing kernel is developed. However, for both the points (arguments) on the ellipsoidal boundary a practical use of the kernel represented by means of series of ellipsoidal harmonic is not possible. Therefore the application of an approximate closed formula as the integral kernel is discussed and tested. A quality enhancement, if compared with the use of the spherical apparatus, is demonstrated by means of closed loop simulations. The paper contributes to methods related to the geoid (quasigeoid) computations.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
DE - Earth magnetism, geodesy, geography
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Third International Gravity Field Service (IGFS) General Assembly (IGFS2014)
ISBN
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ISSN
0939-9585
e-ISSN
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Number of pages
8
Pages from-to
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Publisher name
Springer-Verlag
Place of publication
Berlin
Event location
Shanghai
Event date
Jun 30, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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