This chapter is devoted to the following problem. Given an external gravitational field, produced by some body, there arises the question of determining the form and mass density of this body. Similar problems appear in geoprospecting, where one measures the gravitational field on the ground surface and wants to determine the source of this gravitational field located inside the earth. Clearly, the solution of this problem is not unique. For example, it has been well known since the time of Newton that a ball with constant mass density produces the same gravitational field as the same mass concentrated at the center of the ball. © Springer International Publishing AG 2017.

Authors

Collection of articles

Publisher

Birkhauser Verlag AG

Number of issue

9783319517438

Language

English

Pages

109-128

Status

Published

Year

2017

Organizations

^{1}RUDN University, Department of Applied Mathematics, Moscow, Russian Federation^{2}Leibniz Universität Hannover, Institut für Analysis, Hannover, Germany

Date of creation

19.10.2018

Date of change

19.10.2018