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Abstract <p>In modern conditions, it is theoretically and practically possible for the same point on the Earth’s surface to have its spatial position (ellipsoidal coordinates), normal height (based on leveling results), and gravity acceleration measurements. With such a set of measurements, gravity disturbances and gravity anomalies can be calculated separately. The paper presents a special type of gravity reduction using a combination of different types of the measurements. Integral equations are obtained for a spherical reference surface, as well as taking into account the flattening of the reference surface. A numerical experiment is performed on the Earth model.</p>

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An Integral Equation with Respect to the Density of the Simple Layer for Calculating the Anomalous Potential Based on a Combination of Geodetic, Leveling, and Gravimetric Data

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A. E. Dergileva,
  • V. V. Popadyev

摘要

Abstract

In modern conditions, it is theoretically and practically possible for the same point on the Earth’s surface to have its spatial position (ellipsoidal coordinates), normal height (based on leveling results), and gravity acceleration measurements. With such a set of measurements, gravity disturbances and gravity anomalies can be calculated separately. The paper presents a special type of gravity reduction using a combination of different types of the measurements. Integral equations are obtained for a spherical reference surface, as well as taking into account the flattening of the reference surface. A numerical experiment is performed on the Earth model.