Discusion of mean gravity along the plumbline

Studia Geophysica et Geodaetica

Volumn 48, Issue 2, 2004, Pages 309-330

  Tenzer, R ^a  

^a UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

Dirichlet's problem; Mean gravity; Orthometric height; Topographical effect

Indexed keywords

GEOID; GRAVIMETRY; TOPOGRAPHIC EFFECT;

EID: 2542432193     PISSN: 00393169     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:SGEG.0000020835.10209.7f     Document Type: Article

References (29)

1. rd Edition. Clarendon Press, Oxford, U.K.
2. Clairaut A., 1743. Théorie de la figure de la Terre, tirée des principes de l'hydrostatique. Davis Fils, Paris, France.
3. Heiskanen W.H. and Moritz H., 1967. Physical Geodesy. W.H. Freeman and Co., San Francisco, USA.
4. Helmert F.R., 1890. Die Schwerkraft im Hochgebirge, insbesondere in den Tyroler Alpen. Veröff. Königl. Preuss. Geod. Inst., No. 1.
5. Hobson E.W., 1931. The Theory of Spherical and Ellipsoidal Harmonics. Cambridge University Press., Cambridge, U.K.
6. Hölder O., 1882. Beiträge zur Polentialtheorie. Dissertation, University of Stuttgart, Stuttgart, Germany.
7. Huang J., Vaníček P., Pagiatakis S.D. and Brink W., 2001. Effect of topographical density on the geoid in the Rocky Mountains. J. Geodesy, 74, 805-815.
8. Hwang C. and Hsiao Y.S., 2003. Orthometric height corrections from leveling, gravity, density and elevation data: a case study in Taiwan. J. Geodesy, 77, 292-302.
9. Kellogg O.D., 1929. Foundations of Potential Theory. Springer, Berlin, Germany.
10. Ljapunov A.M., 1898. Sur certaines questions qui se rattachent au problème de Dirichlet. J. de Math., 5, 241.
11. Mader K., 1954. Die orthometrische Schwerekorrektion des Präzisions-Nivellements in den Hohen Tauern. Österreichische Zeitschrift für Vermessungswesen, Sonderheft 15.
12. Martinec Z., 1993. Effect of Lateral Density Variations of Topographical Masses in View of Improving Geoid Model Accuracy over Canada. Final report of the contract DSS No. 232442-4356, Geodetic Survey of Canada, Ottawa, Canada.
13. Martinec Z., 1996. Stability investigations of a discrete downward continuation problem for geoid determination in the Canadian Rocky Mountains. J. Geodesy, 70, 805-828.
14. Martinec Z. and Vaníček P., 1994. Direct topographical effect of Helmert's condensation for a spherical approximation of the geoid. Manuscripta Geodaetica, 19, 257-268.
15. Martinec Z., 1998. Boundary value problems for gravimetric determination of a precise. Lecture Notes in Earth Sciences, 73, Springer-Verlag, Heidelberg, Germany.
16. Molodensky M.S., 1945. Fundamental Problems of Geodetic Gravimetry. TRUDY NIIGAIK, 42, Geodezizdat, Moscow (in Russian).
17. Molodensky M.S., 1948. External Gravity Field and the Shape of the Earth Surface. Izv. AN SSSR, Ser. Geogr., 12, 193 (in Russian).
18. Molodensky M.S., Yeremeev V.F. and Yurkina M.I, 1960. Methods for Study of the External Gravitational Field and Figure of the Earth. TRUDY Ts NIIGAiK, 131, Geodezizdat, Moscow (English translat.: Israel Program for Scientific Translation, Jerusalem 1962).
19. Niethammer T., 1932. Nivellement und Schwere als Mittel zur Berechnung wahrer Meereshöhen. Schweizerische Geodätische Kommission, Bern, Switzerland.
20. Novák P., Vaníček P., Martinec Z. and Véronneau M., 2001. Effect of the spherical terrain on gravity and the geoid. J. Geodesy, 75, 491-504.
21. Pick M., Picha J. and Vyskočil V., 1973. Theory of the Earth's Gravity Field. Elsevier, Amsterdam.
22. Pizzetti P., 1894. Sulla espressione della gravità alla superficie del geoide, supposto ellissoidico. Atti R. Accad. Lincei, ser. V, v. 3.
23. Pizzetti P., 1911. Sopra il calcolo teorico delle deviazioni del geoide dall' ellissoide. Atti R. Accad. Sci. Torino, 46.
24. Somigliana C., 1929. Teoria Generale del Campo Gravitazionale dell'Ellisoide di Rotazione. Memoire della Societa Astronomica Italiana, IV.
25. Vaníček P. and Krakiwsky E., 1986. Geodesy, The Concepts (2nd Edition). Elsevier Science B.V., Amsterdam, The Netherlands.
26. Vaníček P., Kleusberg A., Martinec Z., Sun W., Ong, P., Najafi M., Vajda P., Harrie L., Tomášek P. and Horst B., 1995. Compilation of a Precise Regional Geoid. Final Report, Geodetic Survey Division, Fredericton, Canada.
27. Vaníček P., Sun W., Ong P., Martinec Z., Nijafi M., Vajda P. and Horst B., 1996. Downward continuation of Helmert's gravity. J. Geodesy, 71, 21-34.
28. Vaníček P., Huang J., Novák P., Pagiatakis S.D., Véronneau M., Martinec Z. and Featherstone W.E., 1999. Determination of the boundary values for the Stokes-Helmert problem. J. Geodesy, 73, 180-192.
29. Wichiencharoen C., 1992. The Indirect Effects on the Computation of Geoid Undulations. Dept. of Geod. Sci. Report No. 336, Ohio State University, Columbus, USA.