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Xiao-Le Deng
Researcher at Southern University of Science and Technology
Publications - 19
Citations - 128
Xiao-Le Deng is an academic researcher from Southern University of Science and Technology. The author has contributed to research in topics: Gravitational field & Gravitational potential. The author has an hindex of 6, co-authored 12 publications receiving 66 citations. Previous affiliations of Xiao-Le Deng include Technische Universität München & Wuhan University.
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Journal ArticleDOI
Evaluation of the fourth-order tesseroid formula and new combination approach to precisely determine gravitational potential
Wenbin Shen,Xiao-Le Deng +1 more
TL;DR: In this article, the authors reformulate the higher-order formula of the tesseroid by Taylor series expansion and then evaluate the fourthorder formula by numerical tests, which can achieve an accuracy of 2 × 10−5 m2 s−2.
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Evaluation of Optimal Formulas for Gravitational Tensors up to Gravitational Curvatures of a Tesseroid
Xiao-Le Deng,Wenbin Shen +1 more
TL;DR: In this paper, the GC formulas of a tesseroid in Cartesian integral kernels are derived in 3D/2D forms, and the relative approximation errors of the GC components are larger than those of the GP, GV, GGT and GGT, especially at the very near area.
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Corrections to “A comparison of the tesseroid, prism and point-mass approaches for mass reductions in gravity field modelling” (Heck and Seitz, 2007) and “Optimized formulas for the gravitational field of a tesseroid” (Grombein et al., 2013)
TL;DR: Grombein et al. as discussed by the authors presented a second-order approximation of the tesseroid method for the first radial derivative of the potential and extended this analytical approach to all first and second order derivatives.
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Topographic effects up to gravitational curvatures of tesseroids: A case study in China
TL;DR: In this paper, the adaptive discretization stack-based algorithm by Gauss-Legendre quadrature approach was used to evaluate the gravitational effects of tesseroids in spherical coordinates, including the gravitational potential, gravity vector, gravity gradient tensor and especially the gravitational curvatures (GC).
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Evaluation of gravitational curvatures of a tesseroid in spherical integral kernels
Xiao-Le Deng,Wenbin Shen +1 more
TL;DR: In this article, a set of 3D integral GC formulas of a tesseroid mass body have been provided by spherical integral kernels in the spatial domain, and numerical experiments demonstrate the correctness of the 3D Taylor series approach for the GC formulas with order as high as sixth order.