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  1. Article

    Open Access

    Analytical Solutions for Gravitational Potential up to Its Third-order Derivatives of a Tesseroid, Spherical Zonal Band, and Spherical Shell

    The spherical shell and spherical zonal band are two elemental geometries that are often used as benchmarks for gravity field modeling. When applying the spherical shell and spherical zonal band discretized in...

    **ao-Le Deng, Nico Sneeuw in Surveys in Geophysics (2023)

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  2. No Access

    Article

    First-Order Derivatives of Principal and Main Invariants of Magnetic Gradient Tensor of a Uniformly Magnetized Tesseroid and Spherical Shell

    Similar to the gravitational curvatures in the gravity field, the magnetic curvatures (i.e., third-order derivatives of the magnetic potential) have been recently proposed in the magnetic field. The components...

    **ao-Le Deng, Wen-Bin Shen, Meng Yang, Michael Kuhn, Jiangjun Ran in Surveys in Geophysics (2022)

  3. Article

    Magnetic Curvatures of a Uniformly Magnetized Tesseroid Using the Cartesian Kernels

    In recent years, the gravitational curvatures, the third-order derivatives of the gravitational potential (GP), of a tesseroid have been introduced in the context of gravity field modeling. Analogous to the gr...

    **ao-Le Deng, Wen-Bin Shen, Michael Kuhn, Christian Hirt… in Surveys in Geophysics (2020)

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  4. No Access

    Article

    Evaluation of Optimal Formulas for Gravitational Tensors up to Gravitational Curvatures of a Tesseroid

    The forward modeling of the topographic effects of the gravitational parameters in the gravity field is a fundamental topic in geodesy and geophysics. Since the gravitational effects, including for instance th...

    **ao-Le Deng, Wen-Bin Shen in Surveys in Geophysics (2018)