Abstract
The extraction of gravity anomalies from airborne strapdown INS gravimetry has been mainly based on state-space approach (SSA), which has many advantages but displays a serious disadvantage, namely, its very limited capacity to handle space correlations (like the rigorous treatment of cross-over points). This paper examines an alternative through the well known geodetic approach, where the INS differential mechanization equations are interpreted as a least-squares network parameter estimation problem. The authors believe that the above approach has some potential advantages that are worth exploring. Mainly, that modelling of the Earth gravity field can be more rigorous than with SSA and that external observation equations can be better exploited.
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References
Colomina, I., Navarro, J., Térmens, A., 1992. Geo-TeX: a general point determination system. International Archives of Photogrammetry and Remote Sensing, Vol. 29-B3, International Society of Photogrammetry and Remote Sensing, pp. 656–664.
Colomina, I., Blázquez, M., 2004. A unified approach to static and dynamic modelling in photogrammetry and remote sensing. ISPRS International Archives at Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol. 35-Bl, Comm. I, pp. 178–183.
Forsberg, R., 1986. Inertial Geodesy in Rough Gravity Field. UCSE Report N.30009, University of Calgary, 1986, 71 pages.
Hammada, Y., Schwarz, K.P., 1997. Airborne Gravimetry: Model-based versus Frequency-domain Filtering Approaches. Proc. of the Int. Symp. on Kinematic Systems in Geodesy, Geomatics and Navigation, Banff, Canada, June 3–6, 1997. pp. 581–595.
Jekeli, C., 2001. Inertial Navigation Systems with Geodetic Applications. de Gruyter.
Kloeden, P.E., Platen, E., 1999. Numerical solution of Stochastic Differential Equations, Springer Verlag, New York, US.
Nassar, S., Schwarz, K.P., Noureldin, A., El-Sheimy, N., 2003. Modeling Inertial Sensor Errors using Autoregressive (AR) Models. Proc. ION NTM-2003. Annaheim, USA, January 22–24, 2003. pp. 116–125.
Schwarz, K.P., 1985. A Unified Approach to Post-mission Processing of Inertial Data. Bulletin Géodésique Vol. 59, N. 1, pp. 33–54.
Schwarz, K.P., Li, Y.C., 1995. What can airborne gravimetry contribute to geoid determination? IAG Symposium 64 “Airborne Gravimetry,” IUGG XXI General Assembly, Boulder, CO, US pp. 143–152.
Schwarz, K.P., Wei, M., 1995. Inertial Geodesy and INS/GPS Integration (partial lecture notes for ENGO 623). Department of Geomatics Engineering. University of Calgary.
Térmens, A., Colomina, I., 2003. Sobre la correctión de errores sistemáticos en gravimetría aerotransportada. Proceedings of the 5. Geomatic Week, Barcelona, ES.
Tomé, P., 2002. Integration of Inertial and Satellite Navigation Systems for Aircraft Attitude Determination. Ph.D. Thesis. Department Applied Mathematics. Faculty of Sciences. University of Oporto.
Wei, M., Schwarz, K.P., 1990. A strapdown inertial algorithm using an Earth-fixed cartesian frame. Navigation, Vol. 37, No. 2, pp. 153–167.
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Térmens, A., Colomina, I. (2005). Network Approach versus State-space Approach for Strapdown Inertial Kinematic Gravimetry. In: Jekeli, C., Bastos, L., Fernandes, J. (eds) Gravity, Geoid and Space Missions. International Association of Geodesy Symposia, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26932-0_19
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DOI: https://doi.org/10.1007/3-540-26932-0_19
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