Physical geodesy

Physical Geodesy

Volumn , Issue , 2005, Pages 1-405

  Hofmann Wellenhof, Bernhard ^a   Moritz, Helmut ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84892308881     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/b139113     Document Type: Book

References (126)

1. Abd-Elmotaal H (1995): Attraction of the topographic masses. Bulletin Géodésique, 69: 304-307.
2. Anger G, Moritz H (2003): Inverse problems and uncertainties in science and medicine. Sitzungsberichte der Leibniz-Sozietät, 61(5): 171 212.
3. Anger G, Gorenflo R, Jochmann H, Moritz H, Webers W (1993): Inverse problems: principles and applications in geophysics, technology, and medicine. Mathematical Research 74: 37-44.
4. Bomford G (1962): Geodesy, 2nd edition. Oxford University Press.
5. Brouwer D, Clémence GM (1961): Methods of celestial mechanics. Academic Press, New York.
6. Bruns H (1878): Die Figur der Erde. Publikation des Preussischen Geodâtischen Instituts, Berlin.
7. Cassinis G (1930): Sur l'adoption d'une formule internationale pour la pesanteur normale. Bulletin Géodésique, 26: 40-49.
8. Civil GPS Service Interface Committee (2002): Summary report of the 40th meeting of the Civil GPS Service Interface Committee (CGSIC), Oregon, March 22 24. Available at www.navcen.uscg.gov/cgsic/default.htm
9. Daxinger W, Stirling R (1995): Kombinierte Ausgleichung von terrestrischen und GPS-Messungen. Österreichische Zeitschrift für Vermessung und Geoinfor-mation, 83(1+2): 48-55.
10. DeLoach SR, Remondi B (1991): Decimeter positioning for dredging and hydro-graphic surveying. In: Proceedings of the First International Symposium on Real Time Differential Applications of the Global Positioning System, vol 1. TÜV Rheinland, Kôln: 258-263.
11. Department of Defense (2001): Global Positioning System standard positioning service performance standard. Available from the U.S. Assistant for GPS, Positioning and Navigation, Defense Pentagon, Washington (DC).
12. Dobrin MB, Savit CH (1988): Introduction to geophysical prospecting, 4th edition. McGraw Hill, New York.
13. Drinkwater MR, Floberghagen R, Haagmans R, Muzi D, Popescu A (2003): GOCE: ESA's first earth explorer core mission. In: Beutler GB, Drinkwater MR, Rummel R, Steiger R von (eds): Earth gravity from space - from sensors to earth sciences. Space Sciences Series of ISSI, 18: 419-432. Kluwer, Dordrecht.
14. Elmiger A (1969): Studien iiber Berechnung von Lotabweichungen aus Massen, Interpolation von Lotabweichungen und Geoidbestimmung in der Schweiz. Doctoral Dissertation, ETH Zurich.
15. Erker E, Höggerl N, Imrek E, Hofmann-Wellenhof B, Kühtreiber N (2003): The ustrian geoid - recent steps to a new solution. Österreichische Zeitschrift für Vermessung & Geoinformation, 91(1): 4-13.
16. ESA (1999): Gravity field and steady-state ocean circulation mission. Reports for mission selection. The four candidate earth explorer core missions, SP-1233(1). Available at http://esamultimedia.esa.int/docs/goce-spl233-l.pdf
17. Fontana RD, Cheung W, Stansell T (2001): The modernized L2 civil signal. GPS World, 12(9): 28-34.
18. Forsberg R, Tscherning CC (1981): The use of height data in gravity field approximation by collocation. Journal of Geophysical Research, 86 (B9): 7843-7854.
19. Forsberg R, Tscherning CC (1997): Topographic effects in gravity field modelling for BVP. Available at www.gfy.ku.dk/~cct/comored.htm
20. Frank P, Mises R von (eds) (1930): Die Differential- und Integralgleichungen der Mechanik und Physik, 2nd edition, part 1: Mathematischer Teil. Vieweg, Braunschweig (reprint 1961 by Dover, New York and Vieweg, Braunschweig).
21. Galle A (1914): Das Geoid im Harz. Verôffentlichung des Geodâtischen Instituts Potsdam, vol 61.
22. Grafarend E, Offermanns G (1975): Eine Lotabweichungskarte Westdeutschlands nach einem geodätisch konsistenten Kolmogorov-Wiener- Modell. Deutsche Geodâtische Kommission bei der Bayerischen Akademie der Wissenschaften, Reihe A: Theoretische Geodâsie, vol 82.
23. Groten E (2004): Fundamental parameters and current (2004) best estimates of the parameters of common relevance to astronomy, geodesy, and geodynamics. Available at www.gfy.ku.dk/~iag/HB2004/part5/51-groten.pdf
24. Gurtner W (1978): Das Geoid in der Schweiz. Institut für Geodäsie und Photogram-metrie der ETH Zurich, vol 20.
25. Gurtner W, Elmiger H (1983): Computation of geoidal heights and vertical deflections in Switzerland. Presented at the XVIII General Assembly of the IUGG at Hamburg, August 15-27.
26. Heiskanen W (1924): Untersuchungen iiber Schwerkraft und Isostasie. Finnish Geodetic Institute, Helsinki, vol 4.
27. Heiskanen W (1928): 1st die Erde ein dreiachsiges Ellipsoid? Gerlands Beitrâge zur Geophysik, 19: 356-377.
28. Heiskanen WA (1957): The Columbus geoid. EOS, Transactions, American Geophysical Union, 38: 841-848.
29. Heiskanen WA, Moritz H (1967): Physical geodesy. Freeman, San Francisco London.
30. Heiskanen WA, Vening Meinesz FA (1958): The earth and its gravity field. McGraw-Hill, New York.
31. Helmert FR (1880): Die mathematischen und physikalischen Theorien der höheren Geodäsie, part 1. Teubner, Leipzig (reprint 1962).
32. Helmert FR (1884): Die mathematischen und physikalischen Theorien der Höheren Geodäsie, part 2. Teubner, Leipzig (reprint 1962).
33. Hirvonen RA (1960): New theory of the gravimetric geodesy. Publications of the Isostatic Institute of the International Association of Geodesy, Helsinki, vol 32.
34. Hirvonen RA (1961): The reformation of geodesy. Journal of Geophysical Research, 66: 1471-1478.
35. Hirvonen RA (1962): On the statistical analysis of gravity anomalies. Publications of the Isostatic Institute of the International Association of Geodesy, Helsinki, vol 37.
36. Hofmann-Wellenhof B, Kienast G, Lichtenegger H (1994): GPS in der Praxis. Springer, Wien New York.
37. Hofmann-Wellenhof B, Lichtenegger H, Collins J (2001): GPS - theory and practice, 5th edition. Springer, Wien New York.
38. Hofmann-Wellenhof B, Legat K, Wieser M (2003): Navigation - principles of positioning and guidance. Springer, Wien New York.
39. Hotine M (1969): Mathematical geodesy. ESSA Monograph 2, U.S. Department of Commerce, Washington (reprint 1992 by Springer).
40. Ilk KH (1999): Energiebetrachtungen für die Bewegung zweier Satelliten im Gravi-tationsfeld der Erde. In: Krumm F, Schwarze VS (eds): Quo vadis geodesia? Part 1. Schriftenreihe des Instituts des Studienganges Geodäsie und Geoin-formatik der Universität Stuttgart, Report 1999/6: 191-205.
41. Jeffreys H (1931): An application of the free-air reduction of gravity. Gerlands Beiträge zur Geophysik, 31: 378-386.
42. Jekeli C (1999): The determination of gravitational potential differences from satellite-to-satellite tracking. Celestial Mechanics and Dynamical Astronomy, 75: 85-101.
43. Jung K (1956): Figur der Erde. In: Flügge S (ed): Handbuch der Physik, vol 47, geophysics 1. Springer, Berlin, 534-639.
44. Jung K (1961): Schwerkraftverfahren in der Angewandten Geophysik. Akademische Verlagsgesellschaft Geest & Portig, Leipzig.
45. Kaula WM (1959): Statistical and harmonic analysis of gravity. Journal of Geophysical Research, 64: 2401-2421.
46. Kaula WM (1963): Determination of the earth's gravitational field. Reviews of Geophysics, 1: 507-551.
47. Kaula WM (1966 a): Theory of satellite geodesy. Blaisdell, Waltham (Massachusetts) Toronto London.
48. Kaula WM (1966 b): Global harmonic and statistical analysis of gravimetry. In: Or-lin H (ed): Proceedings of the Symposium on Extension of Gravity Anomalies to Unsurveyed Areas. American Geophysical Union, Geophysical Monograph, 9: 58-67.
49. Kellogg OD (1929): Foundations of potential theory. Springer, Berlin (reprint 1954 by Dover, New York, and 1967 by Springer, Berlin Heidelberg New York).
50. Koch KR (1971): Die geodätische Randwertaufgabe bei bekannter Erdoberflache. Zeitschrift für Vermessungswesen, 96: 218-224.
51. Kraiger G (1987): Untersuchungen zur Prädiktion nach kleinsten Quadraten mittels empirischer Kovarianzfunktion unter besonderer Beachtung des Krümmungs-parameters. Mitteilungen der geodâtischen Institute der Technischen Universität Graz, vol 53.
52. Kraiger G (1988): Influence of the curvature parameter on least-squares prediction. Manuscripta geodaetica, 13: 164-171.
53. Kraiger G, Kiihtreiber N, Wang YM (1987): The correction terms of the solution of Molodensky's problem by analytical continuation in the Central Alps of Austria. In: Austrian Geodetic Commission (ed): The gravity field in Austria. Geodätische Arbeiten Osterreichs für die Internationale Erdmessung, Neue Folge, vol IV: 95-109.
54. Krarup T (1969): A contribution to the mathematical foundation of physical geodesy. Danish Geodetic Institute, Copenhagen, vol 44.
55. Kühtreiber (1990): Untersuchungen zur gravimetrischen Bestimmung von Lotabweichungen im Hochgebirge nach Molodensky mittels Fast-Fourier- Transformation. PhD thesis, Department of Physical Geodesy, Graz University of Technology, Graz, Austria.
56. Kühtreiber (1998): Improved gravimetrie geoid AGG97 of Austria. In: Forsberg R, Feissel M, Dietrich R (eds): Geodesy on the move: gravity, geoid, geodynamics and Antarctica. IAG Scientific Assembly, Rio de Janeiro, Brazil, September 3-9, 1997. Springer, Berlin Heidelberg, 306-311
57. [Schwarz K-P (ed): International Association of Geodesy Symposia, vol 119].
58. Kühtreiber (2002 a): High precision geoid determination for Austria. Habilitation, Department of Positioning and Navigation, Graz University of Technology, Graz, Austria.
59. Kühtreiber N (2002 b): High precision geoid determination of Austria using heterogeneous data. In: Tziavos IN (ed): Gravity and geoid 2002. Proceedings of the Third Meeting of the International Gravity and Geoid Commission, Thessaloniki, Greece, August 26-30, 144-149.
60. Lachapelle G, Cannon ME, Erickson C, Falkenberg W (1992): High precision C/A code technology for rapid static DGPS surveys. In: Proceedings of the Sixth International Geodetic Symposium on Satellite Positioning, Columbus, Ohio, March 17-20, vol 1: 165-173.
61. Ledersteger K (1955): Der Schwereverlauf in den Lotlinien und die Berechnung der wahren Geoidschwere. Publication dedicated to Weikko A. Heiskanen. Finnish Geodetic Institute, Helsinki, vol 46: 109-124.
62. Lerch F J, Klosko SM, Lauhscher RE, Wagner C A (1979): Gravity model improvement using Geos 3 (GEM 9 and 10). Journal of Geophysical Research, 84(B8): 3897-3916.
63. Levallois J J (1963): La réhabilitation de la géodé sique classique et la géodésie tridi-mensionelle. Bulletin Géodésique, 68: 193-199.
64. Mader K (1954): Die orthometrische Schwerekorrektion des Prâzisions-Nivellements in den Hohen Tauern. Osterreichische Zeitschrift fur Vermessungswesen, Son-derheft, vol 15.
65. Mlalys S, Slater J (1994): Maintenance and enhancement of the World Geodetic System 1984. In: Proceedings of ION GPS-94, 7th International Technical Meeting of the Satellite Division of the Institute of Navigation, Salt Lake City, Utah, September 20-23, part 1: 17-24.
66. March JG, Chang ES (1979): Global detailed gravimetric geoid. Marine Geodesy, 2(2): 145-159.
67. Marquis W (2001): M is for modernization. GPS World, 12(9): 36-42.
68. Marassi A (1985): Intrinsic geodesy. Springer, Berlin Heidelberg New York Tokyo.
69. McCarthy DD (ed) (1996): IERS Conventions. Observatoire de Paris, IERS Technical Note 21.
70. Misra P, Enge P (2001): Global Positioning System - signals, measurements, and performance. Ganga-Jamuna, Lincoln (Mass.).
71. Molodenski MS (1958): Grundbegriffe der geodätischen Gravimetrie. VEB Verlag Technik, Berlin (Russian originals 1945 and 1948).
72. Molodenskii MS, Eremeev VF, Yurkina MI (1962): Methods for study of the external gravity field and figure of the earth. Israel Program of Scientific Translations, Jerusalem (Russian original 1960).
73. Montenbruck O, Gill E (2001): Satellite orbits - models, methods, and applications, corrected 2nd printing. Springer, Berlin.
74. Moritz H (1962): Studies on the accuracy of the computation of gravity in high elevations. Publications of the Isostatic Institute of the International Association of Geodesy, Helsinki, vol 38.
75. Moritz H (1963): Interpolation and prediction of point gravity anomalies. Publications of the Isostatic Institute of the International Association of Geodesy, Helsinki, vol 40.
76. Moritz H (1964): Zur Bestimmung des Geoides und seiner Verwendung als Reduk-tionsfläche. Zeitschrift für Vermessungswesen, 89: 200-202.
77. Moritz H (1965): Schwerevorhersage und Ausgleichungsrechnung. Zeitschrift für Vermessungswesen, 90: 181-184.
78. Moritz H (1980a): Advanced physical geodesy. Wichmann, Karlsruhe (reprint 2001 by Civil and Environmental Engineering and Geodetic Science, Ohio State University, Columbus, Ohio).
79. Moritz H (1980b): Geodetic Reference System 1980. Bulletin Géodésique, 54: 395405.
80. Moritz H (1990): The figure of the earth - theoretical geodesy and the earth's interior. Wichmann, Karlsruhe.
81. Moritz H (1995): Science, mind and the universe - an introduction to natural philosophy. Wichmann, Heidlberg.
82. Moritz H, Hofmann-Wellenhof B (1993): Geometry, relativity, geodesy. Wichmann, Karlsruhe.
83. Moritz H, Mueller II (1987): Earth rotation - theory and observation. Ungar, New York.
84. Moritz H, Yurkina MI (eds) (2000): M.S. Molodensky - in memoriam. Mitteilungen der geodâtischen Institute der Technischen Universitât Graz, vol 88.
85. Mueller II (1985): Reference coordinate systems and frames: concepts and realization. Bulletin Géodésique, 59: 181-188.
86. Müller J (2001): Die Satellitengradiometriemission GOCE - Théorie, technische Re-alisierung und wissenschaftliche Nutzung. Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften, Reihe C, vol 541.
87. National Imagery and Mapping Agency (2000): Department of Defense World Geodetic System 1984 - its definition and relationships with local geodetic systems, 3rd edition, amendment 1. NIMA Technical Report TR 8350.2, Bethes-da, Maryland. Available as PDF file at www.nima.mil.
88. Neumann F (1887): Vorlesungen fiber die Théorie des Potentials und der Kugel-funktionen (edited by C. Neumann). Teubner, Leipzig.
89. Österreichische Kommission für die Internationale Erdmessung (ed) (1983): Das Geoid in Osterreich. Geodätische Arbeiten Österreichs für die Internationale Erdmessung. Neue Folge, vol III.
90. Pail R (2003): Satellitengeodâsie. Lecture manuscript available at the Institute of Navigation and Satellite Geodesy of the Graz University of Technology.
91. Pellinen LP (1962): Accounting for topography in the calculation of quasigeoidal heights and plumb-line deflections from gravity anomalies. Bulletin Géodé-sique, 63: 57-65.
92. Pizzetti P (1894): Sulla espressione della gravita alla superfìcie del geoide, supposto ellissoidico. Atti della Reale Accademia dei Lincei, Rome, V(3): 166.
93. Pizzetti P (1911): Sopra il calcolo teorico delle deviazioni del geoide dall' ellissoide. Atti della Reale Accademia della Scienze di Torino, 46: 331.
94. Plummer HC (1918): An introductory treatise on dynamical astronomy. Cambridge University Press (reprint 1960 by Dover, New York).
95. Rapp RH (1963): A consideration of Hayford's best fitting ellipsoid data using the differential change equations of Vening Meinesz. Geofisica pura e applicata, 54: 1-5.
96. Rapp R (1964): The prediction of point and mean gravity anomalies through the use of a digital computer. Institute of Geodesy, Photogrammetry and Cartography, Ohio State University, vol 43.
97. Rapp RH (1981): The earth's gravity field to degree and order 180 using SEASAT altimeter data, terrestrial gravity data, and other data. Ohio State University, Department of Geodetic Sciences, Columbus, Ohio, vol 322.
98. Rebhan H, Aguirre M, Johannessen J (2000): The gravity field and steady-state ocean circulation explorer mission - GOCE. ESA Earth Observation Quarterly, 66: 6-11.
99. Reigber C, Muller H, Rizos C, Bosch W (1983): An improved earth gravity model (GRIM 3B). Presented at the XVIII General Assembly of the IUGG at Hamburg, August 15-27.
100. Reigber C, Lühr H, Schwintzer P (eds) (2003): First CHAMP mission results for gravity, magnetic and atmospheric studies. Springer, Berlin Heidelberg New York.
101. Rinner K (1956): Über die Reduktion grosser elektronisch gemessener Entfernungen. Zeitschrift für Vermessungswesen, 81: 47-55.
102. Rummel R (1986): Satellite gradiometry. In: Siinkel H (ed): Mathematical and numerical techniques in physical geodesy. Springer, Berlin Heidelberg New York London Paris Tokyo, 317-363
103. [Bhattacharji S, Friedman GM, Neugebauer HJ, Seilacher A (eds): Lecture Notes in Earth Sciences, vol 7].
104. Rummel R, Balmino G, Johannessen J, Visser P, Woodworth P (2002): Dedicated gravity field missions - principles and aims. Journal of Geodynamics, 33: 3-20.
105. Sagrebin DW (1956): Die Théorie des regularisierten Geoids. Verôffentlichung des Geodâtischen Instituts Potsdam, vol 9.
106. Schmitt G, Illner M, Jâger R (1991): Transformationsprobleme. Deutscher Verein fur Vermessungswesen, special issue: GPS und Integration von GPS in bestehende geodâtische Netze, vol 38: 125-142.
107. Schwarz KP (1976): Least-squares collocation for large systems. Bollettino di Geodesia e Scienze Affini, 35(3): 309-324.
108. Seeber G (2003): Satellite geodesy, 2nd edition. Walter de Gruyter, Berlin New York.
109. Sideris M (1987): Spectral methods for the numerical solution of Molodensky's problem. University of Calgary, Department of Surveying Engineering, vol 20024.
110. Sideris M (1990): Rigorous gravimetric terrain modelling using Molodensky's operator. Manuscripta geodaetica, 15: 97-106.
111. Sneeuw N, Gerlach C, Svelila D, Gruber C (2002): A first attempt at time-variable gravity recovery from CHAMP using the energy balance approach. In: Tziavos IN (ed): Gravity and geoid 2002. Proceedings of the Third Meeting of the International Gravity and Geoid Commission, Thessaloniki, Greece, August 26-30, 237-242.
112. Spilker J J (1996): GPS signal structure and theoretical performance. In: Parkinson BW, Spilker J J (eds): Global Positioning System: theory and applications, vol 1. American Institute of Aeronautics and Astronautics, Washington DC, 57-119 (Progress in Astronautics and Aeronautics, vol 163).
113. Sünkel H (1977): Ein nichtiteratives Verfahren zur Transformation geodâtischer Koordinaten. Österreichische Zeitschrift für Vermessungswesen und Photogram-metrie, 64(1): 29-33.
114. Sünkel H (1980): A general surface representation module designed for geodesy. Ohio State University, Department of Geodetic Sciences, Columbus, Ohio, vol 292.
115. Sünkel H (1983): Geoidbestimmung: Berechnungen an der TU Graz, 2. Teil. In: Österreichische Kommission für die Internationale Erdmessung (ed): Das Geoid in Österreich. Geodâtische Arbeiten Österreichs für die Internationale Erdmessung, Neue Folge, vol III: 125-143.
116. Sünkel H, Bartelme N, Fuchs H, Hanafy M, Schuh W-D, Wieser M (1987): The gravity field in Austria. In: Austrian Geodetic Commission (ed): The gravity field in Austria. Geodâtische Arbeiten Osterreichs für die Internationale Erdmessung, Neue Folge, vol IV: 47-75.
117. Telford WM, Geldart LP, Sheriff RE (1990): Applied geophysics, 2nd edition. Cambridge University Press, Cambridge New York Port Chester Melbourne Sydney.
118. Todhunter I (1873): A history of the mathematical theories of attraction and of the figure of the earth from the time of Newton to that of Laplace. Macmillan, London (reprint 1962 by Dover Publications, New York).
119. Tscherning CC (1976): Implementation of Algol-procedures for covariance computation on the RC 4000-computer. Danish Geodetic Institute, Copenhagen, vol 12.
120. Tscherning CC, Rapp RH (1974): Closed covariance expressions for gravity anomalies, geoid undulations, and deflections of the vertical implied by anomaly-degree variance models. Ohio State University, Department of Geodetic Sciences, Columbus, Ohio, vol 208.
121. Tziavos IN (ed): Gravity and geoid 2002. Proceedings of the Third Meeting of the International Gravity and Geoid Commission, Thessaloniki, Greece, August 26-30.
122. Uotila UA (1960): Investigations on the gravity field and shape of the earth. Publications of the Isostatic Institute of the International Association of Geodesy, Helsinki, vol 33.
123. Vening Meinesz FA (1928): A formula expressing the deflection of the plumb-line in the gravity anomalies and some formulae for the gravity field and the gravity potential outside the geoid. Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen, 31(3): 315-331.
124. Vollath U, Birnbach S, Landau H, Fraile-Ordoñez JM, Martin-Neira M (1999): Analysis of three-carrier ambiguity resolution technique for precise relative positioning in GNSS-2. Navigation, 46(1): 13-23.
125. Vorhies J (2000): WRC 2000 results - GPS. Available at www.igeb.gov
126. Zhu J (1993): Exact conversion of earth-centered, earth-fixed coordinates to geodetic coordinates. Journal of Guidance, Control, and Dynamics, 16: 389-391.