Abstract
The authors explored the possibility of separating gravitation from inertia in the first-order gradients of the gravitational potential in the light of general relativity. It is proposed to choose an inertial platform as a tetrad and let the accelerometers be fixed with the inertial platform. The force experienced by the inertial platform can be directly measured by the accelerometers. Since the Riemannian tensor components R 0i0j could be locally measured by gradiometers, one can determine the first-order gradients of the gravitational potential.
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References
Boedecker G (1985) Gravity Vector Recovery by Inertial Geodesy-Why and How Is It Possible? In: Schwarz K P (ed), Proc. 3th Intern. Symp. on Inertial Technology for Surveying and Geodesy, Calgary, Canada, pp. 85–103.
Britting K R (1971) Inertial Navigation Systems Analysis. Wiley-Interscience, New York.
Dahlquist B (1972) Numerische Methoden. R. Oldenbourg Verlag, München.
Goldsborough R G, Fundak L T (1985) The Gravity Gradiometer Survey System. In: Schwarz K P (ed), Proc. 3th Intern. Symp. on Inertial Technology for Surveying and Geodesy, Calgary, Canada, pp. 653–656.
Grafarend E W (1981) From Kinematical Geodesy to Inertial Positioning. Bull. Géod., V. 55, pp. 286–299.
Jekeli C et al. (1985) A Review of Data Processing in Gravity Gradiometry. In: Schwarz K P (ed), Proc. 3th Intern. Symp. on Inertial Technology for Surveying and Geodesy, Calgary, Canada, pp. 675–685.
Jordan S K (1985) Status of Moving-Base Gravity Gradiometrey. In: Schwarz K P (ed), Proc. 3th Intern. Symp. on Inertial Technology for Surveying and Geodesy, Calgary, Canada, pp. 639–647.
Mason M J (1987) Numerical Analysis ( second ed. ). Macmillan Publishing Company, New York.
Moritz H (1967) Kinematical Geodesy. Report No. 92, Dept. of Geodesic Science, Ohio State University, Columbus.
Moritz H (1968) Kinematical Geodesy. Reihe A: Höhere Geodäsie—Heft Nr. 59.
Moritz H, Hofmann-Wellenhof B (1993), Geometry, Relativity, Geodesy. Wichmann, Karlsruhe.
Mueller I I (1981) Inertial Survey Systems in the Geodetic Arsenal. Bull. Géod., V. 55, pp. 272–285.
Rummel R., Colombo 0 L (1985) Gravity Field Determination from Satellite Gradiometry. Bulletin Géodésique, V. 59, pp. 233–246.
Schwarz K P (1981) A Comparison of Models in Inertial Surveying. Bull. Géod., V. 55, pp. 300–314.
Schwarz K P (1985) Inertial Modelling—A Survey of Some Open Problems. In: Schwarz K P (ed), Proc. 3th Intern. Symp. on Inertial Technology for Surveying and Geodesy, Calgary, Canada.
Shen W (1996) On the Separability of Gravitation and Inertia According to General Relativity. Dissertation, Graz University of Technology.
Shen W, Moritz H (1996a) On the Separation of Gravitation and Inertia and the Determination of the Relativistic Gravity Field in the Case of Free Motion. Journal of Geodesy, V. 70, pp. 633–644.
Shen W, Moritz H (1996b) On the Separation of Gravitation and Inertia in Airborne Gradiometry. Bollettino di Geodesia e Scienze Affini, V. 55, N. 2, pp. 145–159.
Wang Y (1987) The Gradiometer-Gravimeter Equation in Various Coordinate Systems. Bull. Géod., V. 61, pp. 125–144.
Weinberg S (1972) Gravitation and Cosmology. John Wiley & Sons, New York.
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© 1997 Springer-Verlag Berlin Heidelberg
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Shen, W., Moritz, H. (1997). The Separation of Gravitation and Inertia in the First-Order Gradient. In: Segawa, J., Fujimoto, H., Okubo, S. (eds) Gravity, Geoid and Marine Geodesy. International Association of Geodesy Symposia, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03482-8_28
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DOI: https://doi.org/10.1007/978-3-662-03482-8_28
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