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80 years of Molodensky`s theory

open access: closedGeodesy and Cartography
The article deals with Mikhail Sergeyevich Molodensky, the USSR Science Academy Corresponding Member’s heritage part concerning to the main task of higher geodesy - determining the Earth’s physical surface and the external gravitational field.
V. Popadyev
semanticscholar   +3 more sources

Molodensky Seven Parameter Transformation for Precise Urban Mapping

open access: closedCommunication Systems and Applications, 2021
The existing coordinate system for the entire country of Ecuador is the Provisional South American Datum of 1956 (PSAD56) which originated in La Canoa, Venezuela. This coordinate system is considered one of the major datums of the world and is generally associated with the countries of South America that comprise the Andes Mountain Range. The system is
Javier Urquizo, C. Mugnier
semanticscholar   +3 more sources

Numerical solution of the Molodensky boundary value problem with a fixed boundary

open access: closedGeodesy and Cartography
The functions of modern global navigation satellite systems (GNSS) allow us to consider the Earth’s surface as partially known at least. So, you can directly use the results of measurements on the real Earth surface, which significantly simplifies the ...
Yu.M. Neiman   +2 more
semanticscholar   +3 more sources

General inverse of Stokes, Vening-Meinesz and Molodensky formulae

open access: closedScience in China Series D, 2006
The operator operations between the disturbing potential and the geoidal undulation, the gravity anomaly, the deflection of the vertical are defined based on the relations among the gravity potential, the normal gravity potential and the disturbing potential.
Cheng Luying, Xu Houze
semanticscholar   +4 more sources

On the Equivalent Linearized BVP’s of Molodensky and Helmert

open access: closed, 2017
The two approaches, Molodensky and Helmert, are proved to be equivalent at the level of formulation of the linearized GBVP, according to the definitions introduced in Chap. 2.
F. Sansò, M. Sideris
semanticscholar   +3 more sources

Advances in the numerical solution of the linear molodensky problem

open access: closedBulletin Géodésique, 1988
The solution of the linear Molodensky problem by analytical continuation to point level is numerically the most convenient of all the theoretically equivalent solutions. It is obtained by successively applying the same integral operator and it does not depend explicitly on the terrain inclination.
M. Sideris, K. Schwarz
semanticscholar   +3 more sources
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The Observation Equation of Spirit Leveling in Molodensky's Context

, 2015
Spirit leveling and surface gravity observations can be expressed as orthometric height differences plus corrections which require the knowledge of the Earth crust density. For leveling increments we can write observation equations in a linearized form, according to the standard Molodensky approach, i.e., intrinsic geodesy, depending on normal height ...
B. Betti   +3 more
semanticscholar   +3 more sources

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