Numerical interpretation of the gravitational field of density heterogeneities of the Earth's inner core using models

Yu. A. Tarakanov1 and O.V. Karagioz2


The geometric shape and sizes of a one-, two- and three-dimensional density structures of the Earth's inner core have been found with sufficient accuracy using approximate values of five mass moments of homogeneous bodies of simple symmetric shapes. The depth of the mass center and four shape coefficients have been calculated by solving the inverse problem of the gravitational potential from six field elements at a single point.


  1. Yu. A. Tarakanov, O. V. Karagioz, and M. A. Kudriavitsky, Unambiguous numerical solution of the direct and inverse problems of the gravitational potential using models, Grav. Cosmol. 9, 3 (35), 214-226 (2003).
  2. Yu. A. Tarakanov, O. V. Karagioz and M. A. Kudriavitsky, Solution of the inverse problem for the gravitational field from the potential and its five derivatives at one point, Grav. Cosmol. 13, 2 (50), 151-162 (2007).
  3. Yu. A. Tarakanov and O. V. Karagioz, Analytical and numerical solutions of a new problem of gravitational potential theory: the inverse problem of moments, Grav. Cosmol. 13, 3(51), 231-240 (2007).
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