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

Result code in 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>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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

Czech name

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Czech description

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Type

A - Audiovisual production

CEP classification

DE - Earth magnetism, geodesy, geography

OECD FORD branch

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Project

<a href="/en/project/LC506" target="_blank" >LC506: Recent dynamics of the Earth</a><br>

Continuities

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

Publication year

2011

Confidentiality

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

ISBN

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Place of publication

Melbourne

Publisher/client name

International Union of Geodesy and Geophysics

Version

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Carrier ID

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