Academic literature on the topic 'Molodensky'

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Journal articles on the topic "Molodensky"

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Ziggah, Y. Y., I. Yakubu, and B. Kumi-Boateng. "Analysis of Methods for Ellipsoidal Height Estimation – The Case of a Local Geodetic Reference Network." Ghana Mining Journal 16, no. 2 (2016): 1–9. http://dx.doi.org/10.4314/gm.v16i2.1.

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Ghana’s local geodetic reference network is based on the War Office 1926 ellipsoid with data in latitude, longitude and orthometric height without the existence of ellipsoidal height. This situation makes it difficult to apply the standard forward transformation equation for direct conversion of curvilinear geodetic coordinates to its associated cartesian coordinates (X, Y, Z) in the Ghana local geodetic reference network. In order to overcome such a challenge, researchers resort to various techniques to obtain the ellipsoidal height for a local geodetic network. Therefore, this paper evaluate
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Kozenko, A. V. "Michael Sergeevich Molodensky (to the 100 anniversary)." Vestnik Otdelenia nauk o Zemle RAN 1, no. 2 (2009): 1–3. http://dx.doi.org/10.2205/2009nz000001.

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McCubbine, J. C., W. E. Featherstone, and N. J. Brown. "Error propagation for the Molodensky G1 term." Journal of Geodesy 93, no. 6 (2018): 889–98. http://dx.doi.org/10.1007/s00190-018-1211-6.

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Guimarães, Gabriel do Nascimento, and Denizar Blitzkow. "Problema de valor de contorno da Geodésia: uma abordagem conceitual." Boletim de Ciências Geodésicas 17, no. 4 (2011): 607–24. http://dx.doi.org/10.1590/s1982-21702011000400007.

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Um dos problemas da Geodésia é determinar o campo de gravidade externo às massas, além da superfície limitante, bem como a variação temporal do mesmo. Stokes propôs no século XVIII uma formulação para a solução desse problema, porém implicava em algumas dificuldades. A formulação proposta por Molodensky em meados do século XX abriu uma nova perspectiva para a solução do problema. Ao longo dos anos, na Geodésia, a relevância do Problema de Valor de Contorno da Geodésia (PVCG) tem sido reconhecida como base teórica para essa disciplina. Além disso, o PVCG ganhou novo impulso com a era espacial e
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Eteje, S. O., and V. N. Ugbelase. "Comparative Analysis of the Molodensky and Kotsakis Ellipsoidal Heights Transformation between Geocentric and Non-Geocentric Datums Models." Journal of Geography, Environment and Earth Science International 25, no. 10 (2021): 171–77. https://doi.org/10.9734/JGEESI/2021/v25i1030323.

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The non-availability of ellipsoidal heights of local geodetic Datums has made it necessary for the application of ellipsoidal heights transformation models to the available global ellipsoidal heights to obtain their respective theoretical heights in local Datums. It is required to know the accuracy, as well as reliability of any model of interest before its application. For that reason, this study comparatively analyses the Molodensky and Kotsakis models for the transformation of ellipsoidal heights between geocentric and non-geocentric Datums to determine the reliability of the Kotsakis model
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Banz, Lothar, Adrian Costea, Heiko Gimperlein, and Ernst P. Stephan. "Numerical simulations for the non-linear Molodensky problem." Studia Geophysica et Geodaetica 58, no. 4 (2014): 489–504. http://dx.doi.org/10.1007/s11200-013-0141-2.

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Klees, R., M. van Gelderen, C. Lage, and C. Schwab. "Fast numerical solution of the linearized Molodensky problem." Journal of Geodesy 75, no. 7-8 (2001): 349–62. http://dx.doi.org/10.1007/s001900100183.

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Günther, Matthias. "Ein einfacher Existenzbeweis für das nichtlineare MOLODENSKY-Problem." Mathematische Nachrichten 130, no. 1 (1987): 251–65. http://dx.doi.org/10.1002/mana.19871300124.

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Cheng, Luying, and Houze Xu. "General inverse of Stokes, Vening-Meinesz and Molodensky formulae." Science in China Series D 49, no. 5 (2006): 499–504. http://dx.doi.org/10.1007/s11430-006-0499-x.

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Mezhenova, I. I., and V. V. Popadyev. "Solution of Molodensky’s boundary-value problem for gravity disturbances with a relative error the Earth`s flattening square (second) order." Geodesy and Cartography 987, no. 9 (2022): 14–20. http://dx.doi.org/10.22389/0016-7126-2022-987-9-14-20.

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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 based on the results of G. G. Stokes. Flattening of the reference surface was taken into account by D. V. Zagrebin in several works dated 1940–1970; in 1956 M. S. Molodensky proposed a simpler method for an oblate ellipsoid, based on the already known one for a sphere. It turned out that at the very beginning of developing the mentioned solution
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Dissertations / Theses on the topic "Molodensky"

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Petrová, Kateřina. "Určování astronomických tížnicových odchylek přímým měřením." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2017. http://www.nusl.cz/ntk/nusl-390220.

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This thesis deals with use of the measuring system MAAS-1 for direct determination of vertical deviations at the points specified field. The main input data are geographical and astronomical coordinates of points. The aim of this thesis is to complete the processing of data measured in the locality.
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Books on the topic "Molodensky"

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Hrabovet︠s︡ʹkyĭ, V. V. Oĭ, popid haĭ zelenen'kyĭ khodyt' Dovbush moloden'kyi: Etnohenez, poshyrenníà, varianty. vyd-vo "Nova zoríà", 2000.

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Sansò, Fernando, and Michael G. Sideris. Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-46358-2.

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Sideris, Michael G., and Fernando Sansò. Geodetic Boundary Value Problem: The Equivalence Between Molodensky S and Helmert S Solutions. Springer International Publishing AG, 2016.

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Sideris, Michael G., and Fernando Sansò. Geodetic Boundary Value Problem: The Equivalence Between Molodensky's and Helmert's Solutions. Springer, 2016.

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de Min, Erik. De geoïde voor Nederland. Nederlandse Commissie voor Geodesie, 1996. http://dx.doi.org/10.54419/g3ej06.

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De combinatie van GPS-metingen met geoïdehoogteverschillen levert orthometrische hoogteverschillen op die kunnen worden gebruikt als controle op, of vervanging van waterpasmetingen. Omdat voor deze orthometrische hoogten (NAP-hoogten) voor veel toepassingen een cm-precisie gewenst is, dient ook de geoïde op dit precisie-niveau bekend te zijn. Om de geoïde zo precies te bepalen is een drietal zaken van belang: om te beginnen de dichtheid en kwaliteit van de beschikbare zwaartekrachtdata, daarnaast de kwaliteit van de theoretische oplossing van het randvoorwaardeprobleem voor de bepaling van de
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Book chapters on the topic "Molodensky"

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Ilk, Karl Heinz. "Das freie Randwertproblem von Molodensky." In Grundlagen der Physikalischen und Mathematischen Geodäsie. Springer Berlin Heidelberg, 2021. http://dx.doi.org/10.1007/978-3-662-62371-8_7.

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Klees, Roland, Christian Lage, and Christoph Schwab. "Fast Numerical Solution of the Vector Molodensky Problem." In International Association of Geodesy Symposia. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56677-6_25.

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Urquizo, Javier, and Clifford Mugnier. "Molodensky Seven Parameter Transformation for Precise Urban Mapping." In Computational Science and Its Applications – ICCSA 2021. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-86970-0_40.

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Sansò, Fernando, and Michael G. Sideris. "On the Equivalent Linearized BVP’s of Molodensky and Helmert." In Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46358-2_3.

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Otero, Jesús, and Fernando Sansò. "The Molodensky Scalar Boundary Value Problem in Spherical Coordinates: a New Result." In International Association of Geodesy Symposia. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56677-6_2.

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Heck, Bernhard, and Kurt Seitz. "Molodenski – quo vadis?" In Handbuch der Geodäsie. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46900-2_14-1.

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Heck, Bernhard, and Kurt Seitz. "Molodenski quo vadis?" In Erdmessung und Satellitengeodäsie. Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-47100-5_14.

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Sansò, Fernando, and Michael G. Sideris. "On the Equivalent BVPs of Stokes and Helmert, and Their Relations to the Molodensky BVP by Analytical Continuation." In Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46358-2_4.

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Guo, Jun-Yi. "Molodensky’s Theory and Beyond." In Physical Geodesy. Springer Nature Switzerland, 2022. http://dx.doi.org/10.1007/978-3-031-23320-3_7.

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Betti, B., D. Carrion, F. Sacerdote, and G. Venuti. "The Observation Equation of Spirit Leveling in Molodensky’s Context." In VIII Hotine-Marussi Symposium on Mathematical Geodesy. Springer International Publishing, 2015. http://dx.doi.org/10.1007/1345_2015_73.

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