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Variational formulation of the geodetic boundary value problem
Abstract A variational principle for the Stokesian boundary value problem is derived using the Euler-Lagrange theory. The resulting variational principle is then transformed into an equation determining the semi-major axis of the best fitting ellipsoid which fulfills the conditionU0=W0. The computations using three different geopotential models yields the semi-major axis of the earth ellipsoid asa=6378145.4 metres for the flatteningf=1/298.2564. The corresponding equatorial gravity and the geopotential number are computed as $ γ_{a} $=978029.59 mgals andU0=W0=6.26367371 $ 10^{6} $ kgalmeters respectively.
Variational formulation of the geodetic boundary value problem
Abstract A variational principle for the Stokesian boundary value problem is derived using the Euler-Lagrange theory. The resulting variational principle is then transformed into an equation determining the semi-major axis of the best fitting ellipsoid which fulfills the conditionU0=W0. The computations using three different geopotential models yields the semi-major axis of the earth ellipsoid asa=6378145.4 metres for the flatteningf=1/298.2564. The corresponding equatorial gravity and the geopotential number are computed as $ γ_{a} $=978029.59 mgals andU0=W0=6.26367371 $ 10^{6} $ kgalmeters respectively.
Variational formulation of the geodetic boundary value problem
Nakiboglu, S. M. (author)
Bulletin géodésique ; 52
1978
Article (Journal)
English
Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie
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