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Analytical Models of the Physical Fields of the Earth in Regional Version with Ellipticity

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Abstract—The regional version of the method of linear integral representations is used to interpret the data on the anomalous physical fields of the Earth. The reconstruction of field elements is reduced to the solution of ill-conditioned systems of linear algebraic equations with an approximate right-hand side. The results of the mathematical experiment on finding analytical continuation of the Earth’s gravity and magnetic fields are presented.

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Funding

The work was carried out in partial fulfillment of the state contract of Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences.

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Authors and Affiliations

  1. Schmidt Institute of Physics of the Earth, Russian Academy of Sciences, 123242, Moscow, Russia

    I. E. Stepanova & P. S. Mikhailov

  2. Faculty of Physics, Moscow State University, 119991, Moscow, Russia

    A. V. Shchepetilov

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  1. I. E. Stepanova
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  2. A. V. Shchepetilov
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  3. P. S. Mikhailov
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Correspondence to I. E. Stepanova.

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Translated by M. Nazarenko

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Stepanova, I.E., Shchepetilov, A.V. & Mikhailov, P.S. Analytical Models of the Physical Fields of the Earth in Regional Version with Ellipticity. Izv., Phys. Solid Earth 58, 406–419 (2022). https://doi.org/10.1134/S1069351322030089

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