作者: I. N. Tziavos , M. G. Sideris , K. P. Schwarz
DOI: 10.1029/92JB00353
关键词: Gravity anomaly 、 Geodetic datum 、 Undulation of the geoid 、 Geopotential 、 Geopotential model 、 Orthometric height 、 Geology 、 Physical geodesy 、 Geoid 、 Geodesy
摘要: In this paper, new rigorous, simpler, and more efficient formulas are used to estimate the effect of terrain on geoid undulations deflections vertical. The based successive application in spectral domain Molodensky's vertical derivative operator powers heights. A number numerical tests carried out area British Columbia (BC) western Canada. Geoid computed by combining a geopotential model complete degree order 360, mean 5 arc min × free air gravity anomalies height data 1 km grid. undulation computations, indirect Helmert's second condensation reduction is taken into account. To assess quality predicted undulations, quantities compared set astronomic derived from combination Global Positioning System with leveled orthometric Test results present precision about ±2.0 sec for deflections, thus fulfilling requirements geodetic measurements any case. achievable differences, close ±0.50 m, also acceptable determine an accurate relative test useful various applications.