Analytical continuation of gravitational and magnetic fields through masses

Resumo

A new method of analytic continuation of gravitational and magnetic fields, which is based on the theory of continued fractions, is proposed. The method allows calculation of the geophysical fields of various origins by their measurements on the surface at depths above and below the sources of anomalies, as well as direct determination of the depth and forms of these sources without a priori information. The calculation results are given in examples of theoretical models, which prove the efficiency of the method.