Gravitational Potential Gradients

Higher-Order Gravitational Potential Gradients in Different Coordinates

This project is started from 01.2025, funded by the German Research Foundation (DFG, Deutsche Forschungsgemeinschaft).

It aims to advance the theoretical framework of gravitational field modeling by extending current approaches to include higher-order gravitational potential gradients. Building on recent progress in both measurement capabilities and theory, it seeks to provide a more complete and consistent description of gravitational effects beyond the commonly studied lower-order terms.

A key aspect of the project is the development of generalized formulations across different coordinate systems, with particular attention to those that have not yet been fully explored. It also emphasizes the establishment of consistent transformation relationships between coordinate systems, ensuring that gravitational quantities can be accurately and reliably expressed in different mathematical representations.

In addition, the project introduces a novel approach for internally validating these transformations, contributing to the robustness of the theoretical framework. It further investigates how different coordinate systems capture gravitational behavior and examines their respective strengths in representing physical phenomena.

Overall, the project is intended to strengthen the theoretical foundation of high-precision gravitational modeling and to support future developments and applications in geodesy and geophysics.

Transformation cycle method for physical components of first-, second-, and third-order potential gradients in Cartesian, cylindrical, and spherical coordinates
Transformation cycle method for physical components of first-, second-, and third-order potential gradients in Cartesian, cylindrical, and spherical coordinates

Publication in Journal of Geodesy

This image showsXiaole Deng

Xiaole Deng

Dr.-Ing.

Scientific Employee

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