An ellipsoidal analogue to Hotine’s kernel: Accuracy and applicability

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

An ellipsoidal analogue to Hotine’s kernel: Accuracy and applicability

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

An ellipsoidal analogue to Hotine’s kernel: Accuracy and applicability

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Third International Gravity Field Service (IGFS) General Assembly (IGFS2014)

ISBN

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ISSN

0939-9585

e-ISSN

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Počet stran výsledku

8

Strana od-do

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Název nakladatele

Springer-Verlag

Místo vydání

Berlin

Místo konání akce

Shanghai

Datum konání akce

30. 6. 2014

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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