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A new integral approach to geopotential coefficient determinations from terrestrial gravity or satellite altimetry data
Authors:Lars E Sj?berg
Institution:(1) Department of Geodesy, The Royal Institute of Technology, S-100 44 Stockholm, (Sweden)
Abstract:The spherical harmonic coefficients of the Earth’s gravitational potential are conveniently determined by integration of gravity data or potential data (derived from satellite altimetry) over a sphere. The major problem of such a method is that the data, given on the non-spherical surface of the Earth, must be reduced to the sphere. A new integral formula over the surface of the Earth is derived. With this formula improved first order topographic corrections to the spherical formulas are obtained.
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