An important question in geosciences is the physical interpretation of global geoid forms and the improvement of our knowledge on the inner structure of the Earth. The authors suggest a new method which separates geoid heights due to upper known density inhomo- genities from geoid heights of inner unknown mass distributions. The interpretation of remain- ing geoid forms becomes presumably simpler after removing the effect of known masses from the full geoid. This paper deals with the mathematical solution of the effects of known sur- face mass distributions capable of computer computation and presents some results of initial numerical computations
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