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

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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 into series of ellipsoidal harmonics. The results will be interpreted globally and also in merging segments expressing regional and local features of the gravity field of the Earth. They may contribute to knowledge important for to the realization of a World Height System. 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 into series of ellipsoidal harmonics. The results will be interpreted globally and also in merging segments expressing regional and local features of the gravity field of the Earth. They may contribute to knowledge important for to the realization of a World Height System. (en)
Title	Reproducing kernel in gravity field studies and its numerical implementation for the exterior of an ellipsoid Reproducing kernel in gravity field studies and its numerical implementation for the exterior of an ellipsoid (en)
skos:prefLabel	Reproducing kernel in gravity field studies and its numerical implementation for the exterior of an ellipsoid Reproducing kernel in gravity field studies and its numerical implementation for the exterior of an ellipsoid (en)
skos:notation	RIV/00025615:_____/11:#0001786!RIV12-MSM-00025615
http://linked.open...avai/predkladatel	Výzkumný ústav geodetický, topografický a kartografický, v.v.i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC506), Z(CUZ0002561501)
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Nesvadba, Otakar Holota, Petr
http://linked.open.../riv/druhVysledku	A(V) - Audiovizuální tvorba se vzdáleným přístupem
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Výzkumný ústav geodetický, topografický a kartografický, v.v.i.
http://linked.open...dnocenehoVysledku	226619
http://linked.open...ai/riv/idVysledku	RIV/00025615:_____/11:#0001786
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Earth's gravity field; geodetic boundary-value problems; Green's function; variational methods; reproducing kernel; numerical implementation of the kernel; approximation concepts (en)
http://linked.open.../riv/klicoveSlovo	Earth's gravity field Green's function approximation concepts numerical implementation of the kernel reproducing kernel variational methods geodetic boundary-value problems
http://linked.open...i/riv/kodPristupu	L
http://linked.open...ontrolniKodProRIV	[5F1EFADE886B]
http://linked.open...i/riv/mistoVydani	Melbourne
http://linked.open...telVyzkumneZpravy	International Association of Geodesy
http://linked.open...in/vavai/riv/obor	DE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Recent dynamics of the Earth
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Holota, Petr Nesvadba, Otakar
http://linked.open...n/vavai/riv/zamer	Research and Development in Geodesy, Cadastre and Geomatics in 2005 - 2011

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