Abstract
Satellite navigation systems are widely used in geophysical applications for precise trajectory determination of a vehicle-carrier of geophysical equipment. In particular, in airborne gravimetry it is necessary to determine the velocity and acceleration of the vehicle in addition to the position determination. Mathematical models and algorithms for the solution of these problems are described. The source data consists of differential Doppler and carrier phase GPS observations.
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V. N. Berzhitsky, V. N. Il’in, Yu. V. Bolotin, A. A. Golovan, N. A. Parusnikov, Yu. L. Smoller, and S. Sh. Yurist, The Inertial Gravimetric System MAG-1. Results of Testing [in Russian], Izd. Mekh.-Mat. Fak. MGU, Moscow (2001).
Yu. V. Bolotin, A. A. Golovan, P. A. Kruchinin, N. A. Parusnikov, V. V. Tikhomirov, and S. A. Trubnikov, “The airborne gravimetry problem. Algorithms. Results of testing,” Vestn. Mosk. Univ. Ser. 1 Mat. Mekh., No. 2, 36–41 (1999).
Yu. V. Bolotin, A. A. Golovan, and N. A. Parusnikov, The Equations of Airborne Gravimetry. Algorithms and Results of Testing [in Russian], Moscow (2002).
Yu. V. Bolotin, A. A. Golovan, and N. A. Parusnikov, “Methods for solution of airborne gravimetry problem. Results of testing,” in: Problems in Mechanics [in Russian], Fizmatlit, Moscow (2003), pp. 130–145.
Global Positioning System. Standard Positioning Service. Signal Specification, 2nd Ed. (June 2, 1995).
A. A. Golovan and N. B. Vavilova, “Determination of vehicle acceleration raw GPS data,” Vestn. Mosk. Univ. Ser. 1 Mat. Mekh., No. 5, 18–25 (2003).
A. A. Golovan and N. B. Vavilova, “Peculiarities of raw GPS data processing for vehicle velocity determination in airborne gravimetry problem,” Aehrokosm. Priborostr., No. 3 (2003).
A. A. Golovan, N. B. Vavilova, N. A. Parusnikov, and S. A. Trubnikov, Mathematical Models and Algorithms for Processing GPS Observations. Standard Mode [in Russian], Izd. Mekh.-Mat. Fak. MGU, Moscow (2001).
B. Hofmann-Wellenhof, H. Lichtenegger, and J. Collins, GPS: Theory and Practice, Springer, Wien (1994).
A. Leick, GPS Satellite Surveying, Wiley-Interscience, John Wiley and Sons, New York (1995).
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 7, pp. 181–196, 2005.
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Golovan, A.A., Vavilova, N.B. Satellite navigation. Raw data processing for geophysical applications. J Math Sci 146, 5920–5930 (2007). https://doi.org/10.1007/s10958-007-0406-9
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DOI: https://doi.org/10.1007/s10958-007-0406-9