Gravitational potential inside 3-D inhomogeneous earth: A boundary — Value problem for the Poisson equation |
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| Authors: | Karel Pě? Zdeněk Martinec Reviewer M Bur?a |
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| Institution: | (1) Department of Geophysics and Meteorology, Faculty of Math. and Phys. Charles Univ., Prague |
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| Abstract: | Summary The problem of determining the gravitational potential inside the Earth is discussed under assumptions that the 3-D density distribution is known, that the external gravity field is described by known Stokes parameters and, finally, that the smoothed Earth surface is defined by a set of topography coefficients. The spectral method was used to separate the angular and radial parts. The solution of Poisson's equation for the internal gravitational potential was reduced to a system of ordinary differential equations with homogeneous boundary conditions and to a system of linear algebraic equations.
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