In the work the possibility of harmonic continuation (along the radius-vector) of anomalous potential values and its derivative from the Earth`s surface to satellite altitudes is investigated. It was performed by means of the Poisson integral, which allows solving the classical outer boundary Dirichlet problem for harmonic functions on the sphere in the form of Fourier series on spherical ones. The set of normalised harmonic coefficients of the global high-degree geopotential model EIGEN-6C4 of bounded one n = 2190 is used to compute the globular functions. The results of net anomalies of gravity force to outer space calculated at sea level and at the altitude of 500 kilometres in the form of cartograms and graphs are presented. The studies show that at distance from the Earth`s surface the characteristics of the anomalous gravity field differ in magnitude along a complex curve, and the images on the map seem to blur. Moreover, with reaching altitude up to 500 kilometres, the anomalies decreased compared to those of gravity calculated at the sea level, almost 6-7 times