Far-zone effects for spherical integral transformations II: Formulas for horizontal boundary value problems and their derivatives

M Šprlák, M Pitoňák - Surveys in Geophysics, 2024 - Springer
Integral formulas represent a methodological basis for the determination of gravitational
fields generated by planetary bodies. In particular, spherical integral transformations are …

Residual terrain modelling: the harmonic correction for geoid heights

M Yang, C Hirt, B Wu, XL Deng, D Tsoulis, W Feng… - Surveys in …, 2022 - Springer
The harmonic correction (HC) is one of the key quantities when using residual terrain
modelling (RTM) for high-frequency gravity field modelling. In the RTM technique, high …

Low-earth orbit determination from gravity gradient measurements

X Sun, P Chen, C Macabiau, C Han - Acta Astronautica, 2016 - Elsevier
An innovative orbit determination method which makes use of gravity gradients for Low-
Earth-Orbiting satellites is proposed. The measurement principle of gravity gradiometry is …

Evaluation of optimal formulas for gravitational tensors up to gravitational curvatures of a tesseroid

XL Deng, WB Shen - Surveys in Geophysics, 2018 - Springer
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 …

Gravity field forward modelling using tesseroids accelerated by Taylor series expansion and symmetry relations

X Zeng, X Wan, M Lin, W Wang - Geophysical Journal …, 2022 - academic.oup.com
In this study, we developed a new method that can significantly accelerate the forward
modelling of gravity fields generated by large-scale tesseroids while keeping the …

Evaluation of gravitational curvatures of a tesseroid in spherical integral kernels

XL Deng, WB Shen - Journal of Geodesy, 2018 - Springer
Proper understanding of how the Earth's mass distributions and redistributions influence the
Earth's gravity field-related functionals is crucial for numerous applications in geodesy …

Integral formulas for transformation of potential field parameters in geosciences

P Novák, M Šprlák, R Tenzer, M Pitoňák - Earth-Science Reviews, 2017 - Elsevier
In this article boundary-value problems of potential theory, that are required for transforming
and continuing selected parameters of a potential field, are discussed. By the potential field …

First-order derivatives of principal and main invariants of gravity gradient tensor of the tesseroid and spherical shell

XL Deng, WB Shen, M Yang, J Ran - Journal of Geodesy, 2021 - Springer
The invariants of gravity (or gravitational) gradient tensor can be applied as the additional
internal parameters for the gravity gradient tensor, which have been widely used in the …

Evaluation of gravitational curvatures for a tesseroid and spherical shell with arbitrary-order polynomial density

XL Deng - Journal of Geodesy, 2023 - Springer
In recent years, there are research trends from constant to variable density and low-order to
high-order gravitational potential gradients in gravity field modeling. Under the research …

Far-Zone Effects for Spherical Integral Transformations I: Formulas for the Radial Boundary Value Problem and its Derivatives

M Šprlák, M Pitoňák - Surveys in Geophysics, 2024 - Springer
Integral transformations represent an important mathematical tool for gravitational field
modelling. A basic assumption of integral transformations is the global data coverage, but …