We. Featherstone et Jg. Olliver, A METHOD TO VALIDATE GRAVIMETRIC-GEOID COMPUTATION SOFTWARE-BASED ON STOKESS INTEGRAL FORMULA, JOURNAL OF GEODESY, 71(9), 1997, pp. 571-576
A method is presented with which to verify that the computer software
used to compute a gravimetric geoid is capable of producing the correc
t results, assuming accurate input data. The Stokes, gravimetric terra
in correction and indirect effect formulae are integrated analytically
after applying a transformation to surface spherical coordinates cent
red on each computation point. These analytical results can be compare
d with those from geoid computation software using constant gravity da
ta in order to verify its integrity. Results of tests conducted with g
eoid computation software are presented which illustrate the need for
integration weighting factors, especially for those compartments close
to the computation point.