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- Title
Magnetic Curvatures of a Tesseroid in Spherical and Cartesian Integral Kernels.
- Authors
Deng, Xiao-Le; Shen, Wen-Bin; Hirt, Christian; Pail, Roland
- Abstract
Abstract: Recently, the Gravitational Curvatures (GC) of a tesseroid have been introduced inthe context of gravity field modelling, and the GC functionals are the components of thethird-order derivatives of the gravitational potential. Analogous to the concept of GC ingravity field, the Magnetic Curvatures (MC) of a tesseroid can be utilized in magnetic fieldmodelling, and studied together with other magnetic functionals (e.g., magnetic potential,magnetic vector and magnetic gradient tensor). Likewise, the MC functionals are thecomponents of the third-order derivatives of the magnetic potential, and physically mean therate of the change of the magnetic gradient tensor. In this contribution, the MCformulas of a tesseroid in spherical and Cartesian integral kernels are derived with3D and 2D forms. Numerical closed-loop tests confirm the correctness of the MCexpressions. Comparisons among the MC formulas of a tesseroid in spherical andCartesian integral kernels with 3D and 2D forms are included as well. This study issupported by Chinese Scholarship Council (No. 201806270174), NSFCs (Grant Nos.41631072, 41721003, 41429401, 41574007, 41774020), DAAD Thematic NetworkProject (Grant No. 57173947) and NASG Special Project Public Interest (Grant No.201512001).Keywords: Magnetic Forward Modelling, Tesseroid, Magnetic Curvatures
- Subjects
CURVATURE; GRAVITATIONAL potential; TENSOR fields; GRAVITY model (Social sciences); FUNCTIONALS; PUBLIC interest
- Publication
Geophysical Research Abstracts, 2019, Vol 21, p1
- ISSN
1029-7006
- Publication type
Article