Gravity field determination from satellite gradiometry
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An orbiting gradiometer measures simultaneously several gravity quantities, ideally all six second-order derivatives of the gravitational potential. These contain information on the orbit, on the structure of the gravity field, and on the attitude of the space-craft. Due to the availability of several components simultaneously it is possible to separate orbit determination from attitude or gravity field recovery. This facilitates the analysis of the gradiometer measurements and allows the use of the principles of fast spherical harmonic analysis. The separation of gravity field recovery and orbit determination is tested numerically with a simplified gravity field (with a purely zonal spherical harmonic expansion) up to degree 300. For both the potential coefficients and for the orbit an almost exact recovery is attained after two iteration steps.
KeywordsGravity Field Actual Orbit Disturbing Potential Potential Coefficient Initial State Vector
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- O.L. COLOMBO: Numerical Methods for Hamonic Analysis on the Sphere. Dept. Geodetic Science, 310, The Ohio State University, Columbus, 1981.Google Scholar
- O.L. COLOMBO: The Global Mapping of Gravity with Two Satellites. Netherlands Geodetic Commission, New Series, 7, 3, Delft, 1984.Google Scholar
- R.L. FORWARD: Review of Artificial Satellite Gravity Gradiometer Techniques. Proc. Int. Symp. “The Use of Artificial Satellites for Geodesy and Geodynamics”, pp. 157–192, Athens, 1973.Google Scholar
- M.H. KAPLAN: Modern Spacecraft Dynamics & Control. Wiley & Sons, New York, 1976.Google Scholar
- H.J. PAIK: Superconducting Tensor Gravity Gradiometer for Satellite Geodesy and Inertial Navigation. Journal of the Astronautical Sciences, 29, 1, pp. 1–18, 1981.Google Scholar
- E.J. PELKA, D.B. DE BRA: The Effects of Relative Instrument Orientation upon Gravity Gradiometer System Performance. Guidance and Control Conference, pp. 247–255 Hollywood, 1977.Google Scholar
- R.H. RAPP: Potential Coefficient and Anomaly Degree Variance Modelling Revisited. Dept. Geodetic Science, 293, The Ohio State University, Columbus, 1979.Google Scholar
- V.S. REINHARDT, F.O. von BUN, J.P. TURNEAURE: A Supersensitive Accelerometer for Space-craft Gradiometry. Proc. of the IEEE Position Location and Navigation Symposium, Atlantic City, 1982.Google Scholar