Abstract
A numerical solution of the inverse problem of the gravitational field at a single point is obtained using six field elements for a point, a spherical cap, a differential spherical sector and a vertical segment. In the system of six equations obtained, the unknowns are the mass of the body, the depth of its center, and the second, third, and fourth degree moments. The accuracy of the solution of this system is ten times higher than when using three field elements.
Similar content being viewed by others
References
Yu. A. Tarakanov, O. V. Karagioz, and M. A. Kudryavitskii, Fiz. Zemli, No. 1, 42 (2004).
Yu. A. Tarakanov, Izv. Vyssh. Ucheb. Zaved. Geodez. Aerofotos’emka, No. 5, 69 (2005).
Yu. A. Tarakanov, Izv. Vyssh. Ucheb. Zaved. Geodez. Aerofotos’emka, No. 2–3, 35 (1997).
Yu. A. Tarakanov and O. V. Karagioz, Izv. Vyssh. Ucheb. Zaved. Geodez. Aerofotos’emka, No. 1, 68 (2004).
Author information
Authors and Affiliations
Additional information
__________
Translated from Izmeritel’naya Tekhnika, No. 5, pp. 3–8, May, 2007.
Rights and permissions
About this article
Cite this article
Tarakanov, Y.A., Karagioz, O.V. The solution of the inverse problem of gravitational potential using a set of measurements of different field elements. Meas Tech 50, 461–470 (2007). https://doi.org/10.1007/s11018-007-0094-3
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11018-007-0094-3