problem of Molodensky

On the solution of the linear problem of Molodensky by the small parameter method

Molodensky's linear problem, as is well known, consists in determining the anomalous potential in the outer space of the physical surface of the Earth s with an accuracy of the order of the squared compression on the anomalies of gravity measured on s. It is an external boundary value problem for the Laplace equation with the simplest condition.