The RTM harmonic correction revisited
نویسندگان
چکیده
Abstract In this paper, we derive improved expressions for the harmonic correction to gravity and, first time, potential and height anomaly. They need be applied at stations buried inside masses transform internal values into harmonically downward continued values, which are then input local quasi-geoid modelling using least-squares collocation or techniques in combination with remove-compute-restore approach. Harmonic corrections anomaly were assumed negligible so far resulting yet unknown model errors. The gravity, new used quantify approximation errors of commonly magnitude This is done two test areas different topographic regimes. One comprises parts Norway North Atlantic where presence deep, long, narrow fjords suggest extreme corresponding large gravity. other one located Auvergne area a moderate topography comprising both flat hilly therefore may representative many around world. For areas, RTM surfaces smoothness computed simulating use medium-resolution an ultra-high-resolution reference field, respectively. We show that as itself attain peak strong variations about 100 mGal. Moreover, introduce long-wavelength biases model. Furthermore, can on order decimetre some points. Overall, however, needs only variations. it mostly smaller than centimetre. Finally, increase increasing surface, suggests surface spatial resolution comparable finest scales resolved by data rather depending global geopotential reduce data.
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ژورنال
عنوان ژورنال: Journal of geodesy
سال: 2022
ISSN: ['1432-1394', '0949-7714']
DOI: https://doi.org/10.1007/s00190-022-01625-w