Controlling Common Mode Stabilization Errors in Airborne Gravity Gradiometry

  • I. N. Tziavos
  • K. P. Schwarz
  • R. V. C. Wong
  • J. Panenka
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 110)


The precise measurement of second-order gravitational gradients is dependent on the isolation of the sensor package from rotations with respect to inertial space. To achieve this isolation in first approximation, a high quality inertial platform is employed to carry the sensor package. Imperfections in platform design and in gyros controlling the feedback loop cause initial tilt errors and platform drifts, and thus small time-dependent rotations with respect to inertial space. These rotations generate common mode errors in the gradiometer measurements. The control of these errors by GPS input is discussed in the paper. First, a state space approach to model the platform errors is outlined and the effect of these errors on the second-order gradients is derived. Then, the control of these errors by GPS coordinate updates is investigated in a simulation study. Results indicate that a GPS-controlled platform is an economical solution to the problem of common mode stabilization errors.


Inertial Navigation System Gravity Gradient Platform Rotation Airborne Gravity Sensor Package 
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  1. Britting, K.R. (1971): Inertial Navigation System Analysis. Wiley - Interscience, New York.Google Scholar
  2. Brzezowski, S. J., J. D. Goldstein, W. G. Heller and J. V. White (1988): GGSS Airborne Test Data Reduction Results. Proceedings of the 16th Gravity Gradiometer Conference, Colorado Springs, USA, Feb. 11 - 12, 1988.Google Scholar
  3. Cannon, M.E., K.P. Schwarz and R.V.C. Wong (1986): Kinematic Positioning with GPS - An analysis of Road Tests. Proceedings of the 4th International Geodetic Symposium on Satellite Positioning, Austin, USA.Google Scholar
  4. Jekeli, C. (1984): Analysis of Airborne Gravity Gradiometer Survey Accuracy. Manuscripta Geodaetica, vol. 9, 323 - 379.Google Scholar
  5. Jekeli, C. (1988): The gravity Gradiometer survey System. EOS, Trans. Am. Geophys. Union, 69, 8, 105 - 117.Google Scholar
  6. Farrell, J.L. (1976): Integrated Aircraft Navigation Academic Press, New York, USA.Google Scholar
  7. Gelb, A. (1974): Applied Optimal Estimation The M. I. T. Press, Cambridge, Mass. Fourth print 1978.Google Scholar
  8. Pfohl, 1., W. Rusnak, A. Jircitano, A. Grierson (1988): Moving Base gravity Gradiometer Survey System (GGSS) Program. Rep. AFGL - TR - 88 - 0126, Air Force Geophysical Laboratory (Prepared by Bell Aerospace Textron).Google Scholar
  9. Schwarz, K. P. (1983): Inertial Adjustment Models - A study of Some Underlying Assumptions. In Geodesy in Transition, USCE Rep. 60002, Calgary, Alberta, Canada.Google Scholar
  10. Schwarz, K. P., R. V. C. Wong and I. N. Tziavos (1987): Common Mode Errors in Airborne Gravity Gradiometry. Contract Report Dept. of Surv. Eng., Univ. of Calgary, Calgary, Alberta, Canada.Google Scholar
  11. Vasco, D. W. and C. Taylor (1991): Inversion of Airborne Gravity Gradient Data in Southwestern Oklahoma, Geophysics, 56, 1, 90 - 101.CrossRefGoogle Scholar
  12. Wang, Y. M. (1989): Determination of the Gravity Disturbance by Processing the Gravity Gradiometer Surveying System - Processing Procedure and Results. Scientific Rep. No. 8, Dept. of Geodetic Science and Surveying, The Ohio State Univ., Columbus, Ohio, USA.Google Scholar
  13. Wong, R. V. C and K. P. Schwarz (1979): Investigations on the Analytical Form of the Transition matrix in Inertial Geodesy. Technical Report No. 58, Univ. of New Brunswick, Fredericton, New Brunswick, Canada.Google Scholar
  14. Wong, R. V. C. (1985): A Kaiman Filter - Smoother for an Inertial Survey System of Local Level Type. M. Sc. Thesis, UCSE Rep. 20001, Dept. of Surv. Eng., Univ. of Calgary, Calgary, Alberta, Canada.Google Scholar

Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • I. N. Tziavos
    • 1
  • K. P. Schwarz
    • 2
  • R. V. C. Wong
    • 3
  • J. Panenka
    • 4
  1. 1.Dept. of Geodesy and SurveyingUniv. of ThessalonikiThessalonikiGreece
  2. 2.Dept. of Surveying EngineeringUniv. of CalgaryCalgaryCanada
  3. 3.Western Geophysical DivisionWestern Atlas Int. Inc.HoustonUSA
  4. 4.Canagrav Research LimitedCalgaryCanada

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