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A New Software For the Calculation of Far–Zone Effects For Spherical Integral
Trnka, Petr ; Pitoňák, Martin ; Belinger, Jiří ; Novák, Pavel ; Šprlák, Michal
Integral transformations are a useful mathematical apparatus for modelling the gravitational field. They represent the mathematical basis for the formulation of integral estimators of gravity field values, including error propagation. One of the basic assumptions of integral transformations is global data coverage. However, the availability of ground measurements is frequently limited. In practice, the global integral is divided into two complementary regions, namely the near and far zones. Non-negligible systematic effects of data in the far zone require accurate evaluation. For this purpose, a new software library is being created in the MATLAB environment to calculate far-zone effects in integral transformations for gravitational potential gradients up to the third order.

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