What question did this study set out to answer?

The aim is to develop integral equations that utilize combined geodetic, leveling, and gravimetric data to calculate anomalous potentials.

April 13, 2026

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

Key Points

The aim is to develop integral equations that utilize combined geodetic, leveling, and gravimetric data to calculate anomalous potentials.
Developed integral equations for both spherical and flattened reference surfaces
Combined different types of measurements for gravity reduction
Performed numerical experiments using an Earth model
Confirmed the feasibility of calculating gravity anomalies and disturbances from integrated data
Showed the effectiveness of the approach in modeling Earth's gravity field

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.

Bookmark

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

Key Points

Abstract

Cite This Study