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Variational formulation of the geodetic boundary value problem

Nakiboglu, S. M.

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.

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Variational formulation of the geodetic boundary value problem

Nakiboglu, S. M.

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.

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.

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Title:

Variational formulation of the geodetic boundary value problem

Contributors:

Nakiboglu, S. M. (author)

Published in:

Bulletin géodésique ; 52

Publication date:

1978

ISSN:

DOI:

https://doi.org/10.1007/BF02521691

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie

Classification:

BKL: 38.30 Mineralogie / 38.73 Geodäsie
Local classification TIB: 275/3200

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