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<p>This paper examines the possibility of modeling Earth’s gravity gradients using only the normal gravity field and the masses located above the reference ellipsoid. The contribution of the ellipsoidal mass was computed based on the normal gravity field and the second derivatives of the normal gravity potential. The remaining part was modeled by discretizing the topographic masses and approximating their gravitational effects using prisms as regular geometric bodies. The practical study was conducted over the territory of Serbia. The computed gradients were compared with torsion balance measurements taken at a test area near Novi Sad. A root mean square value of 17 E (1.7&#xa0;μGal/m) was obtained for the gradient differences. Gradient values from a global geopotential model were also computed, and it was found that, over extremely flat terrain, they exhibit similar or slightly better agreement with the measurements than the modeled values. The results demonstrate that the proposed concept enables modeling of gravity gradients with an overall deviation that is comparable to the accuracy of the measurements or, at most, within one order of magnitude.</p>

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Full gravity gradient tensor modeling by normal gravity field and digital terrain models

  • 期刊论文

  • 发表日期：

    2026年3月13日

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  • Oleg Odalović,
  • Dejan Vasić,
  • Lajos Völgyesi

摘要

This paper examines the possibility of modeling Earth’s gravity gradients using only the normal gravity field and the masses located above the reference ellipsoid. The contribution of the ellipsoidal mass was computed based on the normal gravity field and the second derivatives of the normal gravity potential. The remaining part was modeled by discretizing the topographic masses and approximating their gravitational effects using prisms as regular geometric bodies. The practical study was conducted over the territory of Serbia. The computed gradients were compared with torsion balance measurements taken at a test area near Novi Sad. A root mean square value of 17 E (1.7 μGal/m) was obtained for the gradient differences. Gradient values from a global geopotential model were also computed, and it was found that, over extremely flat terrain, they exhibit similar or slightly better agreement with the measurements than the modeled values. The results demonstrate that the proposed concept enables modeling of gravity gradients with an overall deviation that is comparable to the accuracy of the measurements or, at most, within one order of magnitude.