Gravity Field Modelling for INS

  • Nguyên Chí Thông
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 107)


In all inertial navigation computations approximative formulae for the normal gravity are used. The gravity-induced position errors for an unaided INS are suppressed conventionally by increasing the vehicle speed (shortening the ZUPT-interval) or by modelling the local gravity disturbance, which is frequently limited in practical applications.

In the paper the exact computational formulae for the normal gravity will be described by using spheroidal coordinates. The error process of strapdown-INS will be presented in the earth fixed Conventional Terrestrial Frame, that has considerable advantages. A convenient method to improve the precision of the positioning will be outlined by increasing the frequency of the gravity model and simulation results for a timespan of the Schuler period are demonstrated.


Gravity Model Normal Gravity Navigation Computation Gravity Disturbance Gravity Field Modelling 
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  1. Britting, K. R. (1971). Inertial Navigation Systems Analysis Whiley-Interscience, New York, 1971.Google Scholar
  2. Forsberg, R. (1985). Gravity-Induced Position Errors in Inertial Surveying. In K. P. Schwarz (ed.) Inertial Technology for Surveying and Geodesy Banff, 1985.Google Scholar
  3. Groten, E.; W. Hausch and D. Keller (1987). Some special considerations on gravity induced effects in inertial geodesy, manuscripta geodaetica 12 (1987) pp. 16–27.Google Scholar
  4. Heiskanen, W. and H. Moritz (1967). Physical geodesy Freeman Co., San Francisco 1967.Google Scholar
  5. Mittermayer, E. (1969). Numerical formulas for geodetic reference system 1967, Bolletino di Geofisica XI (1969) pp. 96–107.Google Scholar
  6. Schafirin, B. (1985). A Note on Linear Prediction within a Gauß-Markov Model Linearized with Respect to a Random Approximation. Dept. of Math. Sci./Statist. Report A-138 (1985) pp. 285–300, University of Tampere Finland.Google Scholar
  7. Schröder, D; N. C. Thông: S. Wiegner; E. Grafarend and B. Schaffrin (1988). A comparative study of local level and strapdown inertial systems, manuscripta geodaetica 13 (1988) pp. 224–248.Google Scholar
  8. Schwarz, K. P. and M. Wei (1990). Efficient numerical formulas for computation of normal gravity in a Cartesian frame, manuscripta geodaetica 15 (1990) pp. 228–234.Google Scholar
  9. Thông, N. C. (1989). Simulation of gradiometry using the spheridoidal harmonic model of the gravitational field, manuscripta geodaetica 14 (1989) pp. 404–417.Google Scholar
  10. Thông, N. C. and E. Grafarend (1989). A spheroidal harmonic model of the terrestrial gravitational field, manuscripta geodaetica 14 (1989) pp. 285–304.Google Scholar
  11. Wei, M. and K. P. Schwarz (1990). A strapdown inertial algorithm using an earth-fixed Cartesian frame, Navigation: J. of the Institute of Navigation Vol. 37, No. 2, 1990.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Nguyên Chí Thông
    • 1
  1. 1.Department of Geodetic ScienceUniversity of StuttgartStuttgart 1Federal Republic of Germany

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