Reproducing kernel in gravity field studies and its numerical implementation for the exterior of an ellipsoid

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F11%3A%230001786" target="_blank" >RIV/00025615:_____/11:#0001786 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Reproducing kernel in gravity field studies and its numerical implementation for the exterior of an ellipsoid

Popis výsledku v původním jazyce

According to the well-known conventions the vertical datum is defined as the equipotential surface for which the Earth gravity potential is constant. The aim of this contribution is to focus on differential geometry properties of equipotential surfaces and their relation to problems of physical nature in vertical datum definition. Within this concept one can apply a number of tools. The discussion mainly rests on the use of tensor calculus and also exterior differential forms. In particular the importance of Weingarten?s theorem in the theory of surfaces will be emphasized together with its essential tie to Brun?s equation (for gravity gradient), which is well known in physical geodesy. Also the role of Christoffel?s theorem will be mentioned. These considerations are of constructive nature and numerically their content will be demonstrated through the use of high performance and accuracy computations for gravity field models represented in terms of high degree and order expansions int

Název v anglickém jazyce

Reproducing kernel in gravity field studies and its numerical implementation for the exterior of an ellipsoid

Popis výsledku anglicky

According to the well-known conventions the vertical datum is defined as the equipotential surface for which the Earth gravity potential is constant. The aim of this contribution is to focus on differential geometry properties of equipotential surfaces and their relation to problems of physical nature in vertical datum definition. Within this concept one can apply a number of tools. The discussion mainly rests on the use of tensor calculus and also exterior differential forms. In particular the importance of Weingarten?s theorem in the theory of surfaces will be emphasized together with its essential tie to Brun?s equation (for gravity gradient), which is well known in physical geodesy. Also the role of Christoffel?s theorem will be mentioned. These considerations are of constructive nature and numerically their content will be demonstrated through the use of high performance and accuracy computations for gravity field models represented in terms of high degree and order expansions int

Druh

A - Audiovizuální tvorba

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

<a href="/cs/project/LC506" target="_blank" >LC506: Recentní dynamika Země</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

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

ISBN

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Místo vydání

Melbourne

Název nakladatele resp. objednatele

International Association of Geodesy

Verze

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Identifikační číslo nosiče

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