On the determination of errors in gravimetric transformations
Exact gravity transforms in the regional studies are determined by the solution of nonlinear boundary-value Alexidze problem for the gravity potential. The errors of its substitution by the appropriate problem for the Laplace's equation have been estimated. The accuracy of its solution extremel...
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| Datum: | 2011 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
S. Subbotin Institute of Geophysics of the NAS of Ukraine
2011
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| Online Zugang: | https://journals.uran.ua/geofizicheskiy/article/view/117423 |
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| Назва журналу: | Geofizicheskiy Zhurnal |
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Geofizicheskiy Zhurnal| Zusammenfassung: | Exact gravity transforms in the regional studies are determined by the solution of nonlinear boundary-value Alexidze problem for the gravity potential. The errors of its substitution by the appropriate problem for the Laplace's equation have been estimated. The accuracy of its solution extremely depends on the problem's conditioning, approximations of the required gradient direction, parameters of numerical calculus and direction of the external normal, along which the proper derivatives are calculated. |
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