2016
DOI: 10.23939/jgd2016.02.036
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Geodynamics

Abstract: Purpose. To build a three-dimensional function of the mass distribution of the Earth's interior according to the parameters (Stokes constant to the second order inclusive) of the external gravitational field of the Earth without considering the minimum deviation from its known density models in geophysics. Methodology. The classic methods of constructing mass distribution use only the Stoke's constants zero and second orders. In iterative methods of determining the distribution models the reference model of de… Show more

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Cited by 4 publications
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“…The described method is more general in comparison with those described and implemented in (Fys et al, 2016). The generalizations relate primarily to the construction of matrix relations i A with (17) and obtaining an approximate solution of (17) regardless of the conditions of its existence.…”
Section: Resultsmentioning
confidence: 99%
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“…The described method is more general in comparison with those described and implemented in (Fys et al, 2016). The generalizations relate primarily to the construction of matrix relations i A with (17) and obtaining an approximate solution of (17) regardless of the conditions of its existence.…”
Section: Resultsmentioning
confidence: 99%
“…For systems (17) at different values i t and i r , the following cases are possible: the system has a single solution, no solutions (overridden), multiple solutions (undefined). Numerical experiments in Fys et al 2016) show that the only solution exists when 3 n = and 4 n = (except for I in ( 16)).…”
Section: Theoretical Basis Of the Approximate Construction Methods Of The Gradient And The Mass Distribution Function Of The Ellipsoidal mentioning
confidence: 99%
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