Optimized formulas for the gravitational field of a tesseroid

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Tesseroids: Forward-modeling gravitational fields in spherical coordinates (2016, methodology): “An analytical solution exists when the computation point is along the polar axis, and the tesseroid is extended into a spherical cap (LaFehr, 1991; Mikuška et al., 2006; Grombein et al., 2013).”
Fast nonlinear gravity inversion in spherical coordinates with application to the South American Moho (2017, background): “Two alternatives proposed in the literature to the numerical solution are Taylor series expansion (Heck & Seitz 2007; Grombein et al. 2013) and the Gauss-Legendre Quadrature (Asgharzadeh et al. 2007).”