Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F09%3A%230001578" target="_blank" >RIV/00025615:_____/09:#0001578 - 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

Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data

Popis výsledku v původním jazyce

The purpose of the paper is to develop a method of combining terrestrial and satellite gravity field data, which in an optimal way exploits gravity field information contained in the solution of boundary problems in a close neighborhood of the Earth. Effects caused by the topography of the Earth are taken into account. The starting point is a transformation of the boundary problems considered under a small modification of curvilinear coordinates. In the new coordinates the boundary and also the boundarycondition is simpler. Effects caused by the topography of the Earth are treated as perturbations and expressed as corrections constructed by means of successive approximations. As a consequence a spherical mathematical apparatus may be applied at each iteration step. Especially Green?s function is constructed for the domain bounded by two concentric spheres. The continuation of the solution is discussed with a particular view to its regularity at infinity.

Název v anglickém jazyce

Domain transformation, boundary problems and optimizaion concepts in the combination of terrestrial and satellite gravity field data

Popis výsledku anglicky

The purpose of the paper is to develop a method of combining terrestrial and satellite gravity field data, which in an optimal way exploits gravity field information contained in the solution of boundary problems in a close neighborhood of the Earth. Effects caused by the topography of the Earth are taken into account. The starting point is a transformation of the boundary problems considered under a small modification of curvilinear coordinates. In the new coordinates the boundary and also the boundarycondition is simpler. Effects caused by the topography of the Earth are treated as perturbations and expressed as corrections constructed by means of successive approximations. As a consequence a spherical mathematical apparatus may be applied at each iteration step. Especially Green?s function is constructed for the domain bounded by two concentric spheres. The continuation of the solution is discussed with a particular view to its regularity at infinity.

Druh

D - Stať ve sborníku

CEP obor

DE - Zemský magnetismus, geodesie, geografie

OECD FORD obor

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Projekt

<a href="/cs/project/GA205%2F06%2F1330" target="_blank" >GA205/06/1330: Úlohy teorie potenciálu a metody jejich řešení při přesném studiu tíhového pole 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

2009

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 2007 IAG General Assembly, International Association of Geodesy Symposia

ISBN

978-3-540-85425-8

ISSN

0939-9585

e-ISSN

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Počet stran výsledku

10

Strana od-do

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Název nakladatele

Springer

Místo vydání

Berlin-Heidelberg

Místo konání akce

Perugia

Datum konání akce

2. 7. 2001

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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