Geometrical properties of equipotential surfaces and their numerical studies for high resolution Earth?s gravity field models expresses in ellipsoidal harmonics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F11%3A%230001785" target="_blank" >RIV/00025615:_____/11:#0001785 - 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

Geometrical properties of equipotential surfaces and their numerical studies for high resolution Earth?s gravity field models expresses in ellipsoidal harmonics

Popis výsledku v původním jazyce

In gravity field studies the complex geometry of the Earth?s surface makes the solution of potential problems rather demanding. Therefore, Green?s functions, integral equations or linear systems associated with direct methods are usually constructed forsolution domains slightly simplified compared to reality. The measure of the simplification affects the convergence of iterations applied in the solution. Often a sphere is used, but this seems not adequate for a global approach. In the paper the construction of a reproducing kernel in Hilbert?s space of functions harmonic in the exterior of an ellipsoid of revolution is discussed. Ellipsoidal harmonics offer the corresponding apparatus, but the structure of the kernel becomes rather complex. Two possibilities to overcome the problem are considered. First an approximation of ellipsoidal harmonics based on a simplified version of Legendre?s ordinary differential equation is used. Subsequently an exact numerical approach is applied as an

Název v anglickém jazyce

Geometrical properties of equipotential surfaces and their numerical studies for high resolution Earth?s gravity field models expresses in ellipsoidal harmonics

Popis výsledku anglicky

In gravity field studies the complex geometry of the Earth?s surface makes the solution of potential problems rather demanding. Therefore, Green?s functions, integral equations or linear systems associated with direct methods are usually constructed forsolution domains slightly simplified compared to reality. The measure of the simplification affects the convergence of iterations applied in the solution. Often a sphere is used, but this seems not adequate for a global approach. In the paper the construction of a reproducing kernel in Hilbert?s space of functions harmonic in the exterior of an ellipsoid of revolution is discussed. Ellipsoidal harmonics offer the corresponding apparatus, but the structure of the kernel becomes rather complex. Two possibilities to overcome the problem are considered. First an approximation of ellipsoidal harmonics based on a simplified version of Legendre?s ordinary differential equation is used. Subsequently an exact numerical approach is applied as an

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 Union of Geodesy and Geophysics

Verze

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Identifikační číslo nosiče

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