Variational methods in the representation of the gravitational potential
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F03%3A00007362" target="_blank" >RIV/00025615:_____/03:00007362 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Variational methods in the representation of the gravitational potential
Original language 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.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
DE - Earth magnetism, geodesy, geography
OECD FORD branch
—
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Cahiers du Centre Européen de Géodynamique et de Séismologie
ISBN
2-9599804-9-2
ISSN
—
e-ISSN
—
Number of pages
9
Pages from-to
3-11
Publisher name
Centre Européen de Géodynamique et de Séismologie
Place of publication
Luxembourg
Event location
Muensbach
Event date
Oct 23, 2001
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
—