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The Earth's gravity field and constraints to its density distribution

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Резюме

Выве¶rt;ены связu ¶rt;ля рaсnре¶rt;еленuя nлоmносmu в Земле, коmорое у¶rt;овлеmворяеm зa¶rt;aнным nосmоянным Сmоксa внешне

о

рaвumaцuонно

о nоля. Нaŭ¶rt;ены формулы, оnuсывaющuе внуmреннее

рaвumaцuонное nоле эmо

о рaсnре¶rt;еленuя. Исnользовaно рaзложенuе

рaвumaцuонно

о nоля, nлоmносmu u mоnо

рaфuu в ря¶rt; nо сферuческuм функцuям. Резульmamы nре¶rt;сmaвлены в вu¶rt;е ря¶rt;a, оm¶rt;ельные члены коmоро

о nроnорцuонaльны сmеnеням сжamuя Землu.

Summary

Constraints to the density distribution within the Earth providing the measured Stokes' parameters of the external gravity field are derived. Formulas describing the internal gravity field of this density distribution are established. Expansions of all used quantities (gravity field, density, topography of the Earth's surface) by means of spherical harmonic series have been applied and the results are given in the form of series, in which the magnitude of the term corresponds to a certain power of the Earth's flattening.

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Authors and Affiliations

  1. Department of Geophysics and Meteorology, Faculty of Mathematics and Physics, Charles University, Prague

    Ctirad Matyska

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  1. Ctirad Matyska
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Matyska, C. The Earth's gravity field and constraints to its density distribution. Stud Geophys Geod 33, 1–10 (1989). https://doi.org/10.1007/BF01649627

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  • DOI: https://doi.org/10.1007/BF01649627

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