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The spheroidal fixed–free two-boundary-value problem for geoid determination (the spheroidal Bruns' transform)
Abstract. The target of the spheroidal Gauss–Listing geoid determination is presented as a solution of the spheroidal fixed–free two-boundary value problem based on a spheroidal Bruns' transformation (“spheroidal Bruns' formula”). The nonlinear spheroidal Bruns' transform (nonlinear spheroidal Bruns' formula), the spheroidal fixed part and the spheroidal free part of the two-boundary value problem are derived. Four different spheroidal gravity models are treated, in particular to determine whether they pass the test to fit to the postulate of a level ellipsoidal gravity field, namely of Somigliana–Pizzetti type.
The spheroidal fixed–free two-boundary-value problem for geoid determination (the spheroidal Bruns' transform)
Abstract. The target of the spheroidal Gauss–Listing geoid determination is presented as a solution of the spheroidal fixed–free two-boundary value problem based on a spheroidal Bruns' transformation (“spheroidal Bruns' formula”). The nonlinear spheroidal Bruns' transform (nonlinear spheroidal Bruns' formula), the spheroidal fixed part and the spheroidal free part of the two-boundary value problem are derived. Four different spheroidal gravity models are treated, in particular to determine whether they pass the test to fit to the postulate of a level ellipsoidal gravity field, namely of Somigliana–Pizzetti type.
The spheroidal fixed–free two-boundary-value problem for geoid determination (the spheroidal Bruns' transform)
Grafarend, E. W. (author) / Ardalan, A. (author) / Sideris, M. G. (author)
Journal of Geodesy ; 73
1999
Article (Journal)
English
BKL:
38.73
Geodäsie
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