Solution of the geodetic boundary value problem |
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Authors: | M S Petrovskaya |
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Institution: | (1) The Institute for Theoretical Astronomy, Leningrad, USSR |
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Abstract: | Summary The possibility of improving the convergence of Molodensky’s series is considered. Then new formulas are derived for the solution
of the geodetic boundary value problem. One of them presents an expression for the boundary condition which involves a linear
combination of Stokes’ constants and surface gravity anomalies. This differs from the usually used relation by the appearance
of additional terms dependent on second order terns with respect to the elevations of the earth’s surface. The formulas are
derived for Stokes’ constants and the anomalous potential in terms of surface anomalies. As compared to the Taylor’s series
of Molodensky, they are presented in the form of surface harmonic series. Due regard is made to the earth’s oblateness, in
addition to the terrain topography. |
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Keywords: | |
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