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Studies in altimetry-gravimetry problems for geoid determination
Institution:1. Reshetnev Siberian State University of Science and Technology, 31 Krasnoyarsky rabochу av., Krasnoyarsk 660037, Russian Federation;2. Institute of Computational Modeling SB RAS, 50/44 Akademgorodok, Krasnoyarsk 660036, Russian Federation;3. Institute of Chemistry and Chemical Technology SB RAS, 50/24 Akademgorodok, Krasnoyarsk 660036, Russian Federation;4. Siberian Federal University, 79 Svobodny st., Krasnoyarsk 660041, Russian Federation
Abstract:Altimetry-gravimetry problems arise in geodesy because the data situations on land and sea are different in many respects. For precise geoid determination in coastal regions we have to take these facts into account. In our studies, we work with an experimental design, the axisymmetric Earth model, which is frequently used in geophysics. In this setting we discuss the choice-of-norm-problem, which is known to be rather difficult with data exhibiting different degrees of smoothness. Moreover, we analyze linearization errors caused by the standard linearization procedure of the gravimetric boundary condition.
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