About: Variational methods in the representation of the gravitational potential

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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	The determination of the gravity field of the Earth is approached from the mathematical point of view. We discuss the integration of Laplace's equation under given boundary data. In particular we focus on the solution of a gravimetric boundary value problem. An approach is applied that follows the concept of variational methods and the notion of the weak solution. A system of elementary potentials is used as a function basis. We then construct Galerkin's system of linear equations for the coefficients in the approximation of the disturbing potential by means of linear combinations of basis functions. Elements of the matrix of this system are computed for the exterior of an ellipsoid of revolution. Ellipsoidal harmonics are used as a natural tool in these computations. The effects caused by the flattening of the ellipsoid are expressed up to terms multiplied by the square of the numerical eccentricity. A reference is also made which concerns effects caused by the topography. The determination of the gravity field of the Earth is approached from the mathematical point of view. We discuss the integration of Laplace's equation under given boundary data. In particular we focus on the solution of a gravimetric boundary value problem. An approach is applied that follows the concept of variational methods and the notion of the weak solution. A system of elementary potentials is used as a function basis. We then construct Galerkin's system of linear equations for the coefficients in the approximation of the disturbing potential by means of linear combinations of basis functions. Elements of the matrix of this system are computed for the exterior of an ellipsoid of revolution. Ellipsoidal harmonics are used as a natural tool in these computations. The effects caused by the flattening of the ellipsoid are expressed up to terms multiplied by the square of the numerical eccentricity. A reference is also made which concerns effects caused by the topography. (en)
Title	Variational methods in the representation of the gravitational potential Variational methods in the representation of the gravitational potential (en)
skos:prefLabel	Variational methods in the representation of the gravitational potential Variational methods in the representation of the gravitational potential (en)
skos:notation	RIV/00025615:_____/03:00007362!RIV/2004/MSM/C01004/N
http://linked.open.../vavai/riv/strany	3-11
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA205/01/1463), P(LA 089), P(LN00A005)
http://linked.open...vai/riv/dodaniDat	2004
http://linked.open...aciTvurceVysledku	Holota, Petr
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
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	632756
http://linked.open...ai/riv/idVysledku	RIV/00025615:_____/03:00007362
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Earth's gravity field;boundary value problems;variational methods;ellipsoidal harmonics (en)
http://linked.open.../riv/klicoveSlovo	boundary value problems Earth's gravity field variational methods ellipsoidal harmonics
http://linked.open...ontrolniKodProRIV	[7DE79B7ACD33]
http://linked.open...v/mistoKonaniAkce	Muensbach
http://linked.open...i/riv/mistoVydani	Luxembourg
http://linked.open...i/riv/nazevZdroje	Cahiers du Centre Européen de Géodynamique et de Séismologie
http://linked.open...in/vavai/riv/obor	DE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Experimental Research of the Dynamic of the Earth and its Surface Mathematical methods for study of the gravity field and figure of the Earth http://linked.opendata.cz/resource/domain/vavai/projekt/LA%20089
http://linked.open...UplatneniVysledku	2003
http://linked.open...iv/tvurceVysledku	Holota, Petr
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2001-10-23 (xsd:date)
number of pages	9 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Centre Européen de Géodynamique et de Séismologie
https://schema.org/isbn	2-9599804-9-2

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