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Local geoid determination from airborne vector gravimetry
Authors:J G Serpas  C Jekeli
Institution:(1) Department of Civil and Environmental Engineering and Geodetic Science, Ohio State University, 2070 Neil Ave., Columbus, Ohio 43210, USA;(2) Escuela de Topografía, Catastro y Geodesia, Universidad Nacional Heredia, Costa Rica
Abstract:Methods are illustrated to compute the local geoid using the vertical and horizontal components of the gravity disturbance vector derived from an airborne GPS/inertial navigation system. The data were collected by the University of Calgary in a test area of the Canadian Rocky Mountains and consist of multiple parallel tracks and two crossing tracks of accelerometer and gyro measurements, as well as precise GPS positions. Both the boundary-value problem approach (Hotinersquos integral) and the profiling approach (line integral) were applied to compute the disturbing potential at flight altitude. Cross-over adjustments with minimal control were investigated and utilized to remove error biases and trends in the estimated gravity disturbance components. Final estimation of the geoid from the vertical gravity disturbance included downward continuation of the disturbing potential with correction for intervening terrain masses. A comparison of geoid estimates to the Canadian Geoid 2000 (CGG2000) yielded an average standard deviation per track of 14 cm if they were derived from the vertical gravity disturbance (minimally controlled with a cross-over adjustment), and 10 cm if derived from the horizontal components (minimally controlled in part with a simulated cross-over adjustment). Downward continuation improved the estimates slightly by decreasing the average standard deviation by about 0.5 cm. The application of a wave correlation filter to both types of geoid estimates yielded significant improvement by decreasing the average standard deviation per track to 7.6 cm.
Keywords:Airborne gravimetry  Geoid determination  Hotinersquos integral" target="_blank">gif" alt="rsquo" align="BASELINE" BORDER="0">s integral  Geoid profiling
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