Results 101 to 110 of about 1,485 (143)

A new series solution of Molodensky's problem

Bulletin géodésique, 1970
A complete series solution of Molodensky's boundary-value problem is derived using, instead of an integral equation, analytical continuation by means of power series. This solution is shown to be equivalent, term by term, to the Molodensky-Brovar series, but is simpler and practically more convenient.
H. Moritz
semanticscholar   +2 more sources

Molodensky’s problem in gravity space: A review of the first results

Bulletin Géodésique, 1978
In the last year a new formulation of Molodensky’s problem has been given, in which the gravity vector \(\vec g\) has been considered as the independent variable of the problem, while the position vector \(\vec x\) is the dependent. This new approach has the great advantage to transform the problem of Molodensky which is of free boundary type, into a ...
F. Sansò
semanticscholar   +2 more sources

Fast Numerical Solution of the Vector Molodensky Problem

, 2001
When standard boundary element methods (BEM) are used in order to solve the linearized vector Molodensky problem we are confronted with two problems: (i) the absence of O (|x|-2) terms in the decay condition is not taken into account, since the single layer ansatz, which is commonly used as representation of the disturbing potential, is of the order O (
R. Klees, Christian Lage, Christoph Schwab   +2 more
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An improved Molodensky-type modification of the Stokes formula and reduced bias in the spectral combination and variance-minimizing ULSM

Journal of Geodesy, 2023
Linshan Zhong, Qiong Wu
semanticscholar   +2 more sources

Molodensky Equations

, 2005

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Solution of Molodensky’s boundary-value problem for gravity disturbances with a relative error the Earth`s flattening square (second) order

Geodesy and Cartography, 2022
The solution of the geodetic boundary value problem for determining the anomalous potential from gravity measurements in the spherical approximation, taking into account the relief and compression, was developed in sufficient detail in 1960 and is also ...
I.I. Mezhenova, V. Popadyev
semanticscholar   +1 more source

Rigorous gravimetric terrain modelling using Molodensky’s operator

manuscripta geodaetica, 1990
M. Sideris
semanticscholar   +2 more sources

Ein einfacher Existenzbeweis für das nichtlineare MOLODENSKY-Problem

Mathematische Nachrichten, 1987
Matthias Günther
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On the solutions of Molodensky’s boundary value problem

Bulletin géodésique, 1964
V. V. Brovar
semanticscholar   +2 more sources

Datum Transformations By Iterative Solution Of The Abridging Inverse Molodensky Formulae

, 2007
J. Ayer, T. Tiennah
semanticscholar   +2 more sources