×

Satellite navigation. Raw data processing for geophysical applications. (English) Zbl 1151.86003

J. Math. Sci., New York 146, No. 3, 5920-5930 (2007); translation from Fundam. Prikl. Mat. 11, No. 7, 181-196 (2005).
Summary: 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.

MSC:

86A32 Geostatistics
70M20 Orbital mechanics
68U10 Computing methodologies for image processing
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] 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).
[2] 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). · Zbl 1074.70571
[3] Yu. V. Bolotin, A. A. Golovan, and N. A. Parusnikov, The Equations of Airborne Gravimetry. Algorithms and Results of Testing [in Russian], Moscow (2002). · Zbl 1074.70571
[4] 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.
[5] Global Positioning System. Standard Positioning Service. Signal Specification, 2nd Ed. (June 2, 1995).
[6] 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). · Zbl 1127.70314
[7] 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). · Zbl 1127.70314
[8] 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).
[9] B. Hofmann-Wellenhof, H. Lichtenegger, and J. Collins, GPS: Theory and Practice, Springer, Wien (1994).
[10] A. Leick, GPS Satellite Surveying, Wiley-Interscience, John Wiley and Sons, New York (1995).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.