Skip to main content
Log in

Satellite navigation. Raw data processing for geophysical applications

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

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).

    Google Scholar 

  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).

  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).

  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.

    Google Scholar 

  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).

  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).

  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).

    Google Scholar 

  9. B. Hofmann-Wellenhof, H. Lichtenegger, and J. Collins, GPS: Theory and Practice, Springer, Wien (1994).

    Google Scholar 

  10. A. Leick, GPS Satellite Surveying, Wiley-Interscience, John Wiley and Sons, New York (1995).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Golovan.

Additional information

__________

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 7, pp. 181–196, 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-007-0406-9

Keywords

Navigation