Journal of the Geodetic Society of Japan
Online ISSN : 2185-517X
Print ISSN : 0038-0830
ISSN-L : 0038-0830
Upward Continuation of Gravitational Potential and Force for a Spherical Earth.
Chuji TSUBOI
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1960 Volume 6 Issue 3 Pages 78-84

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Abstract

Expressions for the gravitational potential and force at a point (not necessarily on the earth's axis) at any higher elevation of a spherical earth have been obtained in a simple summation series form in terms of zonal averages of surface gravity anomalies taken around the axis passing through the point . Numerical values to be multiplied to zonal averages of gravity anomalies in order to obtain the potential and force are given in tables . If the elevation is zero, our values for the potential naturally agree with those of Lambert's Φ function.

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