Abstract
Molodenskii's solution of the geodetic boundary-value problem is approximately derived by computing G1, a kind of terrain correction to the gravity anomaly. In the present paper, the G1 distributions over some models of topographic relief are evaluated. It is concluded that, although G1 sometimes amounts to a great quantity in mountainous regions, the Molodenskii correction is practically not necessary in computations of gravimetric geoidal height, but on the other hand, it should be taken into account in computations of the deflection of the vertical.
