Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Mean kernels to improve gravimetric geoid determination based on modified Stokes's integration
Computers & Geosciences
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Five of the more frequently cited and used deterministic modifications to Stokes's formula for gravimetric geoid determination are summarised in a self-consistent framework. FORTRAN77 software and its limitations are described to compute these modified kernels, which can easily be implemented in gravimetric geoid determination software in place of the original spherical Stokes kernel. An example from Australia is used to demonstrate the superiority of one of these deterministically modified kernels over the spherical Stokes kernel for a regional gravimetric geoid computation.